{"id":8971,"date":"2017-04-27T21:51:38","date_gmt":"2017-04-27T21:51:38","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=8971"},"modified":"2020-07-02T05:42:54","modified_gmt":"2020-07-02T05:42:54","slug":"problem-set-decimals","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/problem-set-decimals\/","title":{"raw":"Problem Set: Decimals","rendered":"Problem Set: Decimals"},"content":{"raw":"

Writing and Identifying Characteristics of Decimals<\/h2>\r\n

Name Decimals<\/h3>\r\nIn the following exercises, name each decimal.\r\n
    \r\n \t
  1. [latex]5.5[\/latex]\r\n[reveal-answer q=\"260862\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"260862\"]five and five tenths[\/hidden-answer]<\/li>\r\n \t
  2. [latex]7.8[\/latex]<\/li>\r\n \t
  3. [latex]5.01[\/latex]\r\n[reveal-answer q=\"78722\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"78722\"]five and one hundredth[\/hidden-answer]<\/li>\r\n \t
  4. [latex]14.02[\/latex]<\/li>\r\n \t
  5. [latex]8.71[\/latex]\r\n[reveal-answer q=\"9000\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"9000\"]eight and seventy-one hundredths[\/hidden-answer]<\/li>\r\n \t
  6. [latex]2.64[\/latex]<\/li>\r\n \t
  7. [latex]0.002[\/latex]\r\n[reveal-answer q=\"710387\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"710387\"]two thousandths[\/hidden-answer]<\/li>\r\n \t
  8. [latex]0.005[\/latex]<\/li>\r\n \t
  9. [latex]0.381[\/latex]\r\n[reveal-answer q=\"15985\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"15985\"]three hundred eighty-one thousandths[\/hidden-answer]<\/li>\r\n \t
  10. [latex]0.479[\/latex]<\/li>\r\n \t
  11. [latex]-17.9[\/latex]\r\n[reveal-answer q=\"6472\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"6472\"]negative seventeen and nine tenths[\/hidden-answer]<\/li>\r\n \t
  12. [latex]-31.4[\/latex]<\/li>\r\n<\/ol>\r\n

    Write Decimals<\/h3>\r\nIn the following exercises, translate the name into a decimal number.\r\n
      \r\n \t
    1. Eight and three hundredths\r\n[reveal-answer q=\"906682\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"906682\"]8.03[\/hidden-answer]<\/li>\r\n \t
    2. Nine and seven hundredths<\/li>\r\n \t
    3. Twenty-nine and eighty-one hundredths\r\n[reveal-answer q=\"531061\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"531061\"]29.81[\/hidden-answer]<\/li>\r\n \t
    4. Sixty-one and seventy-four hundredths<\/li>\r\n \t
    5. Seven tenths\r\n[reveal-answer q=\"11799\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"11799\"]0.7[\/hidden-answer]<\/li>\r\n \t
    6. Six tenths<\/li>\r\n \t
    7. One thousandth\r\n[reveal-answer q=\"120793\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"120793\"]0.001[\/hidden-answer]<\/li>\r\n \t
    8. Nine thousandths<\/li>\r\n \t
    9. Twenty-nine thousandths\r\n[reveal-answer q=\"98054\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"98054\"]0.029[\/hidden-answer]<\/li>\r\n \t
    10. Thirty-five thousandths<\/li>\r\n \t
    11. Negative eleven and nine ten-thousandths\r\n[reveal-answer q=\"52877\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"52877\"]\u221211.0009[\/hidden-answer]<\/li>\r\n \t
    12. Negative fifty-nine and two ten-thousandths<\/li>\r\n \t
    13. Thirteen and three hundred ninety-five ten thousandths\r\n[reveal-answer q=\"401588\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"401588\"]13.0395[\/hidden-answer]<\/li>\r\n \t
    14. Thirty and two hundred seventy-nine thousandths<\/li>\r\n<\/ol>\r\n

      Convert Decimals to Fractions or Mixed Numbers<\/h3>\r\nIn the following exercises, convert each decimal to a fraction or mixed number.\r\n
        \r\n \t
      1. [latex]1.99[\/latex]\r\n[reveal-answer q=\"488534\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"488534\"][latex]1\\Large\\frac{99}{100}[\/latex][\/hidden-answer]<\/li>\r\n \t
      2. [latex]5.83[\/latex]<\/li>\r\n \t
      3. [latex]15.7[\/latex]\r\n[reveal-answer q=\"852986\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"852986\"][latex]15\\Large\\frac{7}{10}[\/latex][\/hidden-answer]<\/li>\r\n \t
      4. [latex]18.1[\/latex]<\/li>\r\n \t
      5. [latex]0.239[\/latex]\r\n[reveal-answer q=\"299986\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"299986\"][latex]\\Large\\frac{239}{1000}[\/latex][\/hidden-answer]<\/li>\r\n \t
      6. [latex]0.373[\/latex]<\/li>\r\n \t
      7. [latex]0.13[\/latex]\r\n[reveal-answer q=\"603357\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"603357\"][latex]\\Large\\frac{13}{100}[\/latex][\/hidden-answer]<\/li>\r\n \t
      8. [latex]0.19[\/latex]<\/li>\r\n \t
      9. [latex]0.011[\/latex]\r\n[reveal-answer q=\"522496\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"522496\"][latex]\\Large\\frac{11}{1000}[\/latex][\/hidden-answer]<\/li>\r\n \t
      10. [latex]0.049[\/latex]<\/li>\r\n \t
      11. [latex]-0.00007[\/latex]\r\n[reveal-answer q=\"457483\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"457483\"][latex]-\\Large\\frac{7}{100000}[\/latex][\/hidden-answer]<\/li>\r\n \t
      12. [latex]-0.00003[\/latex]<\/li>\r\n \t
      13. [latex]6.4[\/latex]\r\n[reveal-answer q=\"819152\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"819152\"][latex]6\\Large\\frac{2}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
      14. [latex]5.2[\/latex]<\/li>\r\n \t
      15. [latex]7.05[\/latex]\r\n[reveal-answer q=\"192449\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"192449\"][latex]7\\Large\\frac{1}{20}[\/latex][\/hidden-answer]<\/li>\r\n \t
      16. [latex]9.04[\/latex]<\/li>\r\n \t
      17. [latex]4.006[\/latex]\r\n[reveal-answer q=\"816301\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"816301\"][latex]4\\Large\\frac{3}{500}[\/latex][\/hidden-answer]<\/li>\r\n \t
      18. [latex]2.008[\/latex]<\/li>\r\n \t
      19. [latex]10.25[\/latex]\r\n[reveal-answer q=\"276220\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"276220\"][latex]10\\Large\\frac{1}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
      20. [latex]12.75[\/latex]<\/li>\r\n \t
      21. [latex]1.324[\/latex]\r\n[reveal-answer q=\"588624\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"588624\"][latex]1\\Large\\frac{81}{250}[\/latex][\/hidden-answer]<\/li>\r\n \t
      22. [latex]2.482[\/latex]<\/li>\r\n \t
      23. [latex]14.125[\/latex]\r\n[reveal-answer q=\"624852\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"624852\"][latex]14\\Large\\frac{1}{8}[\/latex][\/hidden-answer]<\/li>\r\n \t
      24. [latex]20.375[\/latex]<\/li>\r\n<\/ol>\r\n

        Locate Decimals on the Number Line<\/h3>\r\nIn the following exercises, locate each number on a number line.\r\n
          \r\n \t
        1. [latex]0.8[\/latex]\r\n[reveal-answer q=\"13983\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"13983\"]\"There [\/hidden-answer]<\/li>\r\n \t
        2. [latex]0.3[\/latex]<\/li>\r\n \t
        3. [latex]-0.2[\/latex]\r\n[reveal-answer q=\"586775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"586775\"]\"There[\/hidden-answer]<\/li>\r\n \t
        4. [latex]-0.9[\/latex]<\/li>\r\n \t
        5. [latex]3.1[\/latex]\r\n[reveal-answer q=\"524176\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"524176\"]\"This[\/hidden-answer]<\/li>\r\n \t
        6. [latex]2.7[\/latex]<\/li>\r\n \t
        7. [latex]-2.5[\/latex]\r\n[reveal-answer q=\"747411\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"747411\"]\"There [\/hidden-answer]<\/li>\r\n \t
        8. [latex]-1.6[\/latex]<\/li>\r\n<\/ol>\r\n

          Order Decimals<\/h3>\r\nIn the following exercises, order each of the following pairs of numbers, using [latex]<\\text{or}&gt[\/latex];.\r\n
            \r\n \t
          1. [latex]0.9\\text{__}0.6[\/latex]\r\n[reveal-answer q=\"654271\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"654271\"]>[\/hidden-answer]<\/li>\r\n \t
          2. [latex]0.7\\text{__}0.8[\/latex]<\/li>\r\n \t
          3. [latex]0.37\\text{__}0.63[\/latex]\r\n[reveal-answer q=\"917694\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"917694\"]<[\/hidden-answer]<\/li>\r\n \t
          4. [latex]0.86\\text{__}0.69[\/latex]<\/li>\r\n \t
          5. [latex]0.6\\text{__}0.59[\/latex]\r\n[reveal-answer q=\"458017\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"458017\"]>[\/hidden-answer]<\/li>\r\n \t
          6. [latex]0.27\\text{__}0.3[\/latex]<\/li>\r\n \t
          7. [latex]0.91\\text{__}0.901[\/latex]\r\n[reveal-answer q=\"262490\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"262490\"]>[\/hidden-answer]<\/li>\r\n \t
          8. [latex]0.415\\text{__}0.41[\/latex]<\/li>\r\n \t
          9. [latex]-0.5\\text{__} - 0.3[\/latex]\r\n[reveal-answer q=\"729421\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"729421\"]<[\/hidden-answer]<\/li>\r\n \t
          10. [latex]-0.1\\text{__} - 0.4[\/latex]<\/li>\r\n \t
          11. [latex]-0.62\\text{__} - 0.619[\/latex]\r\n[reveal-answer q=\"771972\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"771972\"]<[\/hidden-answer]<\/li>\r\n \t
          12. [latex]-7.31\\text{__} - 7.3[\/latex]<\/li>\r\n<\/ol>\r\n

            Round Decimals<\/h3>\r\nIn the following exercises, round each number to the nearest tenth.\r\n
              \r\n \t
            1. [latex]0.67[\/latex]\r\n[reveal-answer q=\"61001\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"61001\"]0.7[\/hidden-answer]<\/li>\r\n \t
            2. [latex]0.49[\/latex]<\/li>\r\n \t
            3. [latex]2.84[\/latex]\r\n[reveal-answer q=\"177776\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"177776\"]2.8[\/hidden-answer]<\/li>\r\n \t
            4. [latex]4.63[\/latex]<\/li>\r\n<\/ol>\r\nIn the following exercises, round each number to the nearest hundredth.\r\n
                \r\n \t
              1. [latex]0.845[\/latex]\r\n[reveal-answer q=\"359218\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"359218\"]0.85[\/hidden-answer]<\/li>\r\n \t
              2. [latex]0.761[\/latex]<\/li>\r\n \t
              3. [latex]5.7932[\/latex]\r\n[reveal-answer q=\"387240\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"387240\"]5.79[\/hidden-answer]<\/li>\r\n \t
              4. [latex]3.6284[\/latex]<\/li>\r\n \t
              5. [latex]0.299[\/latex]\r\n[reveal-answer q=\"616466\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"616466\"]0.30[\/hidden-answer]<\/li>\r\n \t
              6. [latex]0.697[\/latex]<\/li>\r\n \t
              7. [latex]4.098[\/latex]\r\n[reveal-answer q=\"573136\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"573136\"]4.10[\/hidden-answer]<\/li>\r\n \t
              8. [latex]7.096[\/latex]<\/li>\r\n<\/ol>\r\nIn the following exercises, round each number to the nearest \u24d0 hundredth \u24d1 tenth \u24d2 whole number.\r\n
                  \r\n \t
                1. [latex]5.781[\/latex]\r\n[reveal-answer q=\"369656\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"369656\"]\u24d0 5.78 \u24d1 5.8 \u24d2 6[\/hidden-answer]<\/li>\r\n \t
                2. [latex]1.638[\/latex]<\/li>\r\n \t
                3. [latex]63.479[\/latex]\r\n[reveal-answer q=\"479129\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"479129\"]\u24d0 63.48 \u24d1 63.5 \u24d2 63[\/hidden-answer]<\/li>\r\n \t
                4. [latex]84.281[\/latex]<\/li>\r\n<\/ol>\r\n
                  \r\n

                  Everyday Math<\/h3>\r\n

                  Salary Increase<\/h4>\r\nDanny got a raise and now makes [latex]{$58,965.95}[\/latex] a year. Round this number to the nearest:\r\n\u24d0 dollar\r\n\u24d1 thousand dollars\r\n\u24d2 ten thousand dollars.\r\n[reveal-answer q=\"6810\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"6810\"]\u24d0 $58,966 \u24d1 $59,000 \u24d2 $60,000[\/hidden-answer]\r\n

                  New Car Purchase<\/h4>\r\nSelena\u2019s new car cost [latex]{$23,795.95}[\/latex]. Round this number to the nearest:\r\n
                    \r\n \t
                  1. \u00a0dollar<\/li>\r\n \t
                  2. thousand dollars<\/li>\r\n \t
                  3. ten thousand dollars.<\/li>\r\n<\/ol>\r\n

                    Sales Tax<\/h4>\r\nHyo Jin lives in San Diego. She bought a refrigerator for [latex]{$1624.99}[\/latex] and when the clerk calculated the sales tax it came out to exactly [latex]{$142.186625}[\/latex]. Round the sales tax to the nearest \u24d0 penny \u24d1 dollar.\r\n[reveal-answer q=\"197088\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"197088\"]\u24d0 $142.19 \u24d1 $142[\/hidden-answer]\r\n

                    Sales Tax<\/h4>\r\nJennifer bought a [latex]{$1,038.99}[\/latex] dining room set for her home in Cincinnati. She calculated the sales tax to be exactly [latex]{$67.53435}[\/latex]. Round the sales tax to the nearest \u24d0 penny \u24d1 dollar.\r\n\r\n<\/div>\r\n
                    \r\n

                    Writing Exercises<\/h3>\r\nHow does your knowledge of money help you learn about decimals\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nExplain how you write \"three and nine hundredths\" as a decimal.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nJim ran a [latex]100-meter[\/latex] race in [latex]\\text{12.32 seconds}[\/latex]. Tim ran the same race in [latex]\\text{12.3 seconds}[\/latex]. Who had the faster time, Jim or Tim? How do you know?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n[reveal-answer q=\"139909\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"139909\"]Tim had the faster time. 12.3 is less than 12.32, so Tim had the faster time.[\/hidden-answer]\r\n\r\nGerry saw a sign advertising postcards marked for sale at \"10 for 0.99\u00a2\"What is wrong with the advertised price?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n

                    Operations on Decimals<\/h2>\r\n

                    Add and Subtract Decimals<\/h3>\r\nIn the following exercises, add or subtract.\r\n
                      \r\n \t
                    1. [latex]16.92+7.56[\/latex]\r\n[reveal-answer q=\"630823\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"630823\"]24.48[\/hidden-answer]<\/li>\r\n \t
                    2. [latex]18.37+9.36[\/latex]<\/li>\r\n \t
                    3. [latex]256.37 - 85.49[\/latex]\r\n[reveal-answer q=\"704159\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"704159\"]170.88[\/hidden-answer]<\/li>\r\n \t
                    4. [latex]248.25 - 91.29[\/latex]<\/li>\r\n \t
                    5. [latex]21.76 - 30.99[\/latex]\r\n[reveal-answer q=\"156089\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"156089\"]\u22129.23[\/hidden-answer]<\/li>\r\n \t
                    6. [latex]15.35 - 20.88[\/latex]<\/li>\r\n \t
                    7. [latex]37.5+12.23[\/latex]\r\n[reveal-answer q=\"941770\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"941770\"]49.73[\/hidden-answer]<\/li>\r\n \t
                    8. [latex]38.6+13.67[\/latex]<\/li>\r\n \t
                    9. [latex]-16.53 - 24.38[\/latex]\r\n[reveal-answer q=\"555673\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"555673\"]\u221240.91[\/hidden-answer]<\/li>\r\n \t
                    10. [latex]-19.47 - 32.58[\/latex]<\/li>\r\n \t
                    11. [latex]-38.69+31.47[\/latex]\r\n[reveal-answer q=\"114832\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"114832\"]\u22127.22[\/hidden-answer]<\/li>\r\n \t
                    12. [latex]-29.83+19.76[\/latex]<\/li>\r\n \t
                    13. [latex]-4.2+\\left(-9.3\\right)[\/latex]\r\n[reveal-answer q=\"971281\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971281\"]\u221213.5[\/hidden-answer]<\/li>\r\n \t
                    14. [latex]-8.6+\\left(-8.6\\right)[\/latex]<\/li>\r\n \t
                    15. [latex]100 - 64.2[\/latex]\r\n[reveal-answer q=\"463533\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"463533\"]35.8[\/hidden-answer]<\/li>\r\n \t
                    16. [latex]100 - 65.83[\/latex]<\/li>\r\n \t
                    17. [latex]72.5 - 100[\/latex]\r\n[reveal-answer q=\"779709\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"779709\"]\u221227.5[\/hidden-answer]<\/li>\r\n \t
                    18. [latex]86.2 - 100[\/latex]<\/li>\r\n \t
                    19. [latex]15+0.73[\/latex]\r\n[reveal-answer q=\"709036\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"709036\"]15.73[\/hidden-answer]<\/li>\r\n \t
                    20. [latex]27+0.87[\/latex]<\/li>\r\n \t
                    21. [latex]2.51+40[\/latex]\r\n[reveal-answer q=\"930219\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"930219\"]42.51[\/hidden-answer]<\/li>\r\n \t
                    22. [latex]9.38+60[\/latex]<\/li>\r\n \t
                    23. [latex]91.75-\\left(-10.462\\right)[\/latex]\r\n[reveal-answer q=\"464030\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"464030\"]102.212[\/hidden-answer]<\/li>\r\n \t
                    24. [latex]94.69-\\left(-12.678\\right)[\/latex]<\/li>\r\n \t
                    25. [latex]55.01 - 3.7[\/latex]\r\n[reveal-answer q=\"536325\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"536325\"]51.31[\/hidden-answer]<\/li>\r\n \t
                    26. [latex]59.08 - 4.6[\/latex]<\/li>\r\n \t
                    27. [latex]2.51 - 7.4[\/latex]\r\n[reveal-answer q=\"612518\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"612518\"]\u22124.89[\/hidden-answer]<\/li>\r\n \t
                    28. [latex]3.84 - 6.1[\/latex]<\/li>\r\n<\/ol>\r\n

                      Multiply Decimals<\/h3>\r\nIn the following exercises, multiply.\r\n
                        \r\n \t
                      1. [latex]\\left(0.3\\right)\\left(0.4\\right)[\/latex]\r\n[reveal-answer q=\"969144\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"969144\"]0.12[\/hidden-answer]<\/li>\r\n \t
                      2. [latex]\\left(0.6\\right)\\left(0.7\\right)[\/latex]<\/li>\r\n \t
                      3. [latex]\\left(0.24\\right)\\left(0.6\\right)[\/latex]\r\n[reveal-answer q=\"290162\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"290162\"]0.144[\/hidden-answer]<\/li>\r\n \t
                      4. [latex]\\left(0.81\\right)\\left(0.3\\right)[\/latex]<\/li>\r\n \t
                      5. [latex]\\left(5.9\\right)\\left(7.12\\right)[\/latex]\r\n[reveal-answer q=\"158586\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"158586\"]42.008[\/hidden-answer]<\/li>\r\n \t
                      6. [latex]\\left(2.3\\right)\\left(9.41\\right)[\/latex]<\/li>\r\n \t
                      7. [latex]\\left(8.52\\right)\\left(3.14\\right)[\/latex]\r\n[reveal-answer q=\"581727\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"581727\"]26.7528[\/hidden-answer]<\/li>\r\n \t
                      8. [latex]\\left(5.32\\right)\\left(4.86\\right)[\/latex]<\/li>\r\n \t
                      9. [latex]\\text{(-4.3)(2.71)}[\/latex]\r\n[reveal-answer q=\"741176\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"741176\"]\u221211.653[\/hidden-answer]<\/li>\r\n \t
                      10. [latex]\\left(-8.5\\right)\\left(1.69\\right)[\/latex]<\/li>\r\n \t
                      11. [latex]\\text{(-5.18)(-65.23)}[\/latex]\r\n[reveal-answer q=\"988216\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"988216\"]337.8914[\/hidden-answer]<\/li>\r\n \t
                      12. [latex]\\left(-9.16\\right)\\left(-68.34\\right)[\/latex]<\/li>\r\n \t
                      13. [latex]\\left(0.09\\right)\\left(24.78\\right)[\/latex]\r\n[reveal-answer q=\"8221\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"8221\"]2.2302[\/hidden-answer]<\/li>\r\n \t
                      14. [latex]\\left(0.04\\right)\\left(36.89\\right)[\/latex]<\/li>\r\n \t
                      15. [latex]\\left(0.06\\right)\\left(21.75\\right)[\/latex]\r\n[reveal-answer q=\"637452\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"637452\"]1.305[\/hidden-answer]<\/li>\r\n \t
                      16. [latex]\\left(0.08\\right)\\left(52.45\\right)[\/latex]<\/li>\r\n \t
                      17. [latex]\\left(9.24\\right)\\left(10\\right)[\/latex]\r\n[reveal-answer q=\"485395\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"485395\"]92.4[\/hidden-answer]<\/li>\r\n \t
                      18. [latex]\\left(6.531\\right)\\left(10\\right)[\/latex]<\/li>\r\n \t
                      19. [latex]\\left(55.2\\right)\\left(1,000\\right)[\/latex]\r\n[reveal-answer q=\"3291\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"3291\"]55,200[\/hidden-answer]<\/li>\r\n \t
                      20. [latex]\\left(99.4\\right)\\left(1,000\\right)[\/latex]<\/li>\r\n<\/ol>\r\n

                        Divide Decimals<\/h3>\r\nIn the following exercises, divide.\r\n
                          \r\n \t
                        1. [latex]0.15\\div 5[\/latex]\r\n[reveal-answer q=\"170858\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"170858\"]0.03[\/hidden-answer]<\/li>\r\n \t
                        2. [latex]0.27\\div 3[\/latex]<\/li>\r\n \t
                        3. [latex]4.75\\div 25[\/latex]\r\n[reveal-answer q=\"365520\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"365520\"]0.19[\/hidden-answer]<\/li>\r\n \t
                        4. [latex]12.04\\div 43[\/latex]<\/li>\r\n \t
                        5. [latex]{$8.49}\\div 12[\/latex]\r\n[reveal-answer q=\"116418\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"116418\"]$0.71[\/hidden-answer]<\/li>\r\n \t
                        6. [latex]{$16.99}\\div 9[\/latex]<\/li>\r\n \t
                        7. [latex]{$117.25}\\div 48[\/latex]\r\n[reveal-answer q=\"133344\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"133344\"]$2.44[\/hidden-answer]<\/li>\r\n \t
                        8. [latex]{$109.24}\\div 36[\/latex]<\/li>\r\n \t
                        9. [latex]0.6\\div 0.2[\/latex]\r\n[reveal-answer q=\"906286\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"906286\"]3[\/hidden-answer]<\/li>\r\n \t
                        10. [latex]0.8\\div 0.4[\/latex]<\/li>\r\n \t
                        11. [latex]1.44\\div \\left(-0.3\\right)[\/latex]\r\n[reveal-answer q=\"155063\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"155063\"]\u22124.8[\/hidden-answer]<\/li>\r\n \t
                        12. [latex]1.25\\div \\left(-0.5\\right)[\/latex]<\/li>\r\n \t
                        13. [latex]-1.75\\div \\left(-0.05\\right)[\/latex]\r\n[reveal-answer q=\"486993\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"486993\"]35[\/hidden-answer]<\/li>\r\n \t
                        14. [latex]-1.15\\div \\left(-0.05\\right)[\/latex]<\/li>\r\n \t
                        15. [latex]5.2\\div 2.5[\/latex]\r\n[reveal-answer q=\"938437\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"938437\"]2.08[\/hidden-answer]<\/li>\r\n \t
                        16. [latex]6.5\\div 3.25[\/latex]<\/li>\r\n \t
                        17. [latex]12\\div 0.08[\/latex]\r\n[reveal-answer q=\"25405\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"25405\"]150[\/hidden-answer]<\/li>\r\n \t
                        18. [latex]5\\div 0.04[\/latex]<\/li>\r\n \t
                        19. [latex]11\\div 0.55[\/latex]\r\n[reveal-answer q=\"794636\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"794636\"]20[\/hidden-answer]<\/li>\r\n \t
                        20. [latex]14\\div 0.35[\/latex]<\/li>\r\n<\/ol>\r\n

                          Mixed Practice<\/h3>\r\nIn the following exercises, simplify.\r\n
                            \r\n \t
                          1. [latex]6\\left(12.4 - 9.2\\right)[\/latex]\r\n[reveal-answer q=\"556132\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"556132\"]19.2[\/hidden-answer]<\/li>\r\n \t
                          2. [latex]3\\left(15.7 - 8.6\\right)[\/latex]<\/li>\r\n \t
                          3. [latex]24\\left(0.5\\right)+{\\left(0.3\\right)}^{2}[\/latex]\r\n[reveal-answer q=\"179497\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"179497\"]12.09[\/hidden-answer]<\/li>\r\n \t
                          4. [latex]35\\left(0.2\\right)+{\\left(0.9\\right)}^{2}[\/latex]<\/li>\r\n \t
                          5. [latex]1.15\\left(26.83+1.61\\right)[\/latex]\r\n[reveal-answer q=\"826866\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"826866\"]32.706[\/hidden-answer]<\/li>\r\n \t
                          6. [latex]1.18\\left(46.22+3.71\\right)[\/latex]<\/li>\r\n \t
                          7. [latex]{$45}+0.08\\left({$45}\\right)[\/latex]\r\n[reveal-answer q=\"347877\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"347877\"]$48.60[\/hidden-answer]<\/li>\r\n \t
                          8. [latex]{$63}+0.18\\left({$63}\\right)[\/latex]<\/li>\r\n \t
                          9. [latex]18\\div \\left(0.75+0.15\\right)[\/latex]\r\n[reveal-answer q=\"64023\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"64023\"]20[\/hidden-answer]<\/li>\r\n \t
                          10. [latex]27\\div \\left(0.55+0.35\\right)[\/latex]<\/li>\r\n \t
                          11. [latex]\\left(1.43+0.27\\right)\\div \\left(0.9 - 0.05\\right)[\/latex]\r\n[reveal-answer q=\"921069\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"921069\"]2[\/hidden-answer]<\/li>\r\n \t
                          12. [latex]\\left(1.5 - 0.06\\right)\\div \\left(0.12+0.24\\right)[\/latex]<\/li>\r\n \t
                          13. [latex]\\left[{$75.42}+0.18\\left({$75.42}\\right)\\right]\\div 5[\/latex]\r\n[reveal-answer q=\"10677\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"10677\"]$17.80[\/hidden-answer]<\/li>\r\n \t
                          14. [latex]\\left[{$56.31}+0.22\\left({$56.31}\\right)\\right]\\div 4[\/latex]<\/li>\r\n<\/ol>\r\n

                            Use Decimals in Money Applications<\/h3>\r\nIn the following exercises, use the strategy for applications to solve.\r\n

                            Spending money<\/h4>\r\nBrenda got [latex]{$40}[\/latex] from the ATM. She spent [latex]{$15.11}[\/latex] on a pair of earrings. How much money did she have left?\r\n[reveal-answer q=\"387381\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"387381\"]$24.89[\/hidden-answer]\r\n

                            Spending money<\/h4>\r\nMarissa found [latex]{$20}[\/latex] in her pocket. She spent [latex]{$4.82}[\/latex] on a smoothie. How much of the [latex]{$20}[\/latex] did she have left?\r\n

                            Shopping<\/h4>\r\nAdam bought a t-shirt for [latex]{$18.49}[\/latex] and a book for [latex]{$8.92}[\/latex] The sales tax was [latex]{$1.65}[\/latex]. How much did Adam spend?\r\n[reveal-answer q=\"59282\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"59282\"]$29.06[\/hidden-answer]\r\n

                            Restaurant<\/h4>\r\nRoberto\u2019s restaurant bill was [latex]{$20.45}[\/latex] for the entr\u00e9e and [latex]{$3.15}[\/latex] for the drink. He left a [latex]{$4.40}[\/latex] tip. How much did Roberto spend?\r\n

                            Coupon<\/h4>\r\nEmily bought a box of cereal that cost [latex]{$4.29}[\/latex]. She had a coupon for [latex]{$0.55}[\/latex] off, and the store doubled the coupon. How much did she pay for the box of cereal?\r\n[reveal-answer q=\"148600\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"148600\"]$3.19[\/hidden-answer]\r\n

                            Coupon<\/h4>\r\nDiana bought a can of coffee that cost [latex]{$7.99}[\/latex]. She had a coupon for [latex]{$0.75}[\/latex] off, and the store doubled the coupon. How much did she pay for the can of coffee?\r\n

                            Diet<\/h4>\r\nLeo took part in a diet program. He weighed [latex]190[\/latex] pounds at the start of the program. During the first week, he lost [latex]4.3[\/latex] pounds. During the second week, he had lost [latex]2.8[\/latex] pounds. The third week, he gained [latex]0.7[\/latex] pounds. The fourth week, he lost [latex]1.9[\/latex] pounds. What did Leo weigh at the end of the fourth week?\r\n[reveal-answer q=\"502906\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"502906\"]181.7 pounds[\/hidden-answer]\r\n

                            Snowpack<\/h4>\r\nOn April [latex]1[\/latex], the snowpack at the ski resort was [latex]4[\/latex] meters deep, but the next few days were very warm. By April [latex]5[\/latex], the snow depth was [latex]1.6[\/latex] meters less. On April [latex]8[\/latex], it snowed and added [latex]2.1[\/latex] meters of snow. What was the total depth of the snow?\r\n

                            Coffee<\/h4>\r\nNoriko bought [latex]4[\/latex] coffees for herself and her co-workers. Each coffee was [latex]{$3.75}[\/latex]. How much did she pay for all the coffees?\r\n[reveal-answer q=\"270125\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"270125\"]$15.00[\/hidden-answer]\r\n

                            Subway Fare<\/h4>\r\nArianna spends [latex]{$4.50}[\/latex] per day on subway fare. Last week she rode the subway [latex]6[\/latex] days. How much did she spend for the subway fares?\r\n

                            Income<\/h4>\r\nMayra earns [latex]{$9.25}[\/latex] per hour. Last week she worked [latex]32[\/latex] hours. How much did she earn?\r\n[reveal-answer q=\"868121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"868121\"]$296.00[\/hidden-answer]\r\n

                            Income<\/h4>\r\nPeter earns [latex]{$8.75}[\/latex] per hour. Last week he worked [latex]19[\/latex] hours. How much did he earn?\r\n

                            Hourly Wage<\/h4>\r\nAlan got his first paycheck from his new job. He worked [latex]30[\/latex] hours and earned [latex]{$382.50}[\/latex]. How much does he earn per hour?\r\n[reveal-answer q=\"152289\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"152289\"]$12.75[\/hidden-answer]\r\n

                            Hourly Wage<\/h4>\r\nMaria got her first paycheck from her new job. She worked [latex]25[\/latex] hours and earned [latex]{$362.50}[\/latex]. How much does she earn per hour?\r\n

                            Restaurant<\/h4>\r\nJeannette and her friends love to order mud pie at their favorite restaurant. They always share just one piece of pie among themselves. With tax and tip, the total cost is [latex]\\$6.00[\/latex]. How much does each girl pay if the total number sharing the mud pie is\r\n
                              \r\n \t
                            1. [latex]2?[\/latex]\r\n[reveal-answer q=\"267851\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"267851\"]$3[\/hidden-answer]<\/li>\r\n \t
                            2. [latex]3?[\/latex]\r\n[reveal-answer q=\"704408\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"704408\"]$2[\/hidden-answer]<\/li>\r\n \t
                            3. [latex]4?[\/latex]\r\n[reveal-answer q=\"398295\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"398295\"] $1.50[\/hidden-answer]<\/li>\r\n \t
                            4. [latex]5?[\/latex]\r\n[reveal-answer q=\"798489\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"798489\"]$1.20[\/hidden-answer]<\/li>\r\n \t
                            5. [latex]6?[\/latex]\r\n[reveal-answer q=\"462061\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"462061\"] $1[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                              Pizza<\/h4>\r\nAlex and his friends go out for pizza and video games once a week. They share the cost of a [latex]\\$15.60[\/latex] pizza equally. How much does each person pay if the total number sharing the pizza is\r\n
                                \r\n \t
                              1. \u00a0[latex]2?[\/latex]<\/li>\r\n \t
                              2. [latex]3?[\/latex]<\/li>\r\n \t
                              3. [latex]4?[\/latex]<\/li>\r\n \t
                              4. [latex]5?[\/latex]<\/li>\r\n \t
                              5. \u00a0[latex]6?[\/latex]<\/li>\r\n<\/ol>\r\n

                                Fast Food<\/h3>\r\nAt their favorite fast food restaurant, the Carlson family orders [latex]4[\/latex] burgers that cost [latex]{$3.29}[\/latex] each and [latex]2[\/latex] orders of fries at [latex]{$2.74}[\/latex] each. What is the total cost of the order?\r\n[reveal-answer q=\"581808\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"581808\"]$18.64[\/hidden-answer]\r\n

                                Home Goods<\/h4>\r\nChelsea needs towels to take with her to college. She buys [latex]2[\/latex] bath towels that cost [latex]{$9.99}[\/latex] each and [latex]6[\/latex] washcloths that cost [latex]{$2.99}[\/latex] each. What is the total cost for the bath towels and washcloths?\r\n

                                Zoo<\/h4>\r\nThe Lewis and Chousmith families are planning to go to the zoo together. Adult tickets cost [latex]{$29.95}[\/latex] and children\u2019s tickets cost [latex]{$19.95}[\/latex]. What will the total cost be for [latex]4[\/latex] adults and [latex]7[\/latex] children?\r\n[reveal-answer q=\"285738\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"285738\"]$259.45[\/hidden-answer]\r\n

                                Ice Skating<\/h4>\r\nJasmine wants to have her birthday party at the local ice skating rink. It will cost [latex]{$8.25}[\/latex] per child and [latex]{$12.95}[\/latex] per adult. What will the total cost be for [latex]12[\/latex] children and [latex]3[\/latex] adults?\r\n
                                \r\n

                                Everyday Math<\/h3>\r\n

                                Paycheck<\/strong><\/h4>\r\nAnnie has two jobs. She gets paid [latex]{$14.04}[\/latex] per hour for tutoring at City College and [latex]{$8.75}[\/latex] per hour at a coffee shop. Last week she tutored for [latex]8[\/latex] hours and worked at the coffee shop for [latex]15[\/latex] hours.\r\n
                                  \r\n \t
                                1. How much did she earn?\r\n[reveal-answer q=\"315211\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"315211\"]$243.57[\/hidden-answer]<\/li>\r\n \t
                                2. If she had worked all [latex]23[\/latex] hours as a tutor instead of working both jobs, how much more would she have earned?\r\n[reveal-answer q=\"17207\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"17207\"]$79.35[\/hidden-answer]<\/li>\r\n<\/ol>\r\nPaycheck<\/strong> Jake has two jobs. He gets paid [latex]\\$7.95[\/latex] per hour at the college cafeteria and [latex]\\$20.25[\/latex] at the art gallery. Last week he worked [latex]12[\/latex] hours at the cafeteria and [latex]5[\/latex] hours at the art gallery.\r\n
                                    \r\n \t
                                  1. \u00a0How much did he earn?<\/li>\r\n \t
                                  2. If he had worked all [latex]17[\/latex] hours at the art gallery instead of working both jobs, how much more would he have earned?<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                                    \r\n

                                    Writing Exercises<\/h3>\r\nIn the 2010 winter Olympics, two skiers took the silver and bronze medals in the Men's Super-G ski event. The silver medalist's time was [latex]1[\/latex] minute [latex]30.62[\/latex] seconds and bronze medalist's time was [latex]1[\/latex] minute [latex]30.65[\/latex] seconds. Whose time was faster? Find the difference in their times and then write the name of that decimal.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n[reveal-answer q=\"727404\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"727404\"]The difference: 0.03 seconds. Three hundredths of a second.[\/hidden-answer]\r\n\r\nFind the quotient of [latex]0.12\\div 0.04[\/latex] and explain in words all the steps taken.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n

                                    Exploring The Relationship Between Decimals and Fractions<\/h2>\r\n

                                    Convert Fractions to Decimals<\/h3>\r\nIn the following exercises, convert each fraction to a decimal.\r\n
                                      \r\n \t
                                    1. [latex]\\Large\\frac{2}{5}[\/latex]\r\n[reveal-answer q=\"784121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"784121\"]0.4[\/hidden-answer]<\/li>\r\n \t
                                    2. [latex]\\Large\\frac{4}{5}[\/latex]<\/li>\r\n \t
                                    3. [latex]-\\Large\\frac{3}{8}[\/latex]\r\n[reveal-answer q=\"286211\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"286211\"]\u22120.375[\/hidden-answer]<\/li>\r\n \t
                                    4. [latex]-\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
                                    5. [latex]\\Large\\frac{17}{20}[\/latex]\r\n[reveal-answer q=\"586095\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"586095\"]0.85[\/hidden-answer]<\/li>\r\n \t
                                    6. [latex]\\Large\\frac{13}{20}[\/latex]<\/li>\r\n \t
                                    7. [latex]\\Large\\frac{11}{4}[\/latex]\r\n[reveal-answer q=\"906067\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"906067\"]2.75[\/hidden-answer]<\/li>\r\n \t
                                    8. [latex]\\Large\\frac{17}{4}[\/latex]<\/li>\r\n \t
                                    9. [latex]-\\Large\\frac{310}{25}[\/latex]\r\n[reveal-answer q=\"888068\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"888068\"]\u221212.4[\/hidden-answer]<\/li>\r\n \t
                                    10. [latex]-\\Large\\frac{284}{25}[\/latex]<\/li>\r\n \t
                                    11. [latex]\\Large\\frac{5}{9}[\/latex]\r\n[reveal-answer q=\"362837\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"362837\"][latex]0.\\stackrel{-}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                    12. [latex]\\Large\\frac{2}{9}[\/latex]<\/li>\r\n \t
                                    13. [latex]\\Large\\frac{15}{11}[\/latex]\r\n[reveal-answer q=\"355980\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"355980\"][latex]1.\\stackrel{\\text{-}}{36}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                    14. [latex]\\Large\\frac{18}{11}[\/latex]<\/li>\r\n \t
                                    15. [latex]\\Large\\frac{15}{111}[\/latex]\r\n[reveal-answer q=\"871048\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"871048\"][latex]0.\\stackrel{\\text{-}}{135}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                    16. [latex]\\Large\\frac{25}{111}[\/latex]<\/li>\r\n<\/ol>\r\n

                                      Convert Fractions to Decimals and Simplify<\/h3>\r\nIn the following exercises, simplify the expression.\r\n
                                        \r\n \t
                                      1. [latex]\\Large\\frac{1}{2}\\normalsize+6.5[\/latex]\r\n[reveal-answer q=\"390720\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"390720\"]7[\/hidden-answer]<\/li>\r\n \t
                                      2. [latex]\\Large\\frac{1}{4}\\normalsize+10.75[\/latex]<\/li>\r\n \t
                                      3. [latex]2.4+\\Large\\frac{5}{8}[\/latex]\r\n[reveal-answer q=\"464827\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"464827\"]3.025[\/hidden-answer]<\/li>\r\n \t
                                      4. [latex]3.9+\\Large\\frac{9}{20}[\/latex]<\/li>\r\n \t
                                      5. [latex]9.73+\\Large\\frac{17}{20}[\/latex]\r\n[reveal-answer q=\"529819\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"529819\"]10.58[\/hidden-answer]<\/li>\r\n \t
                                      6. [latex]6.29+\\Large\\frac{21}{40}[\/latex]<\/li>\r\n<\/ol>\r\n

                                        Order Decimals and Fractions<\/h3>\r\nIn the following exercises, order each pair of numbers, using [latex]&lt[\/latex]; or [latex]\\text{>.}[\/latex]\r\n
                                          \r\n \t
                                        1. [latex]\\Large\\frac{1}{8}\\normalsize\\text{___}0.8[\/latex]\r\n[reveal-answer q=\"86876\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"86876\"]<[\/hidden-answer]<\/li>\r\n \t
                                        2. [latex]\\Large\\frac{1}{4}\\normalsize\\text{___}0.4[\/latex]<\/li>\r\n \t
                                        3. [latex]\\Large\\frac{2}{5}\\normalsize\\text{___}0.25[\/latex]\r\n[reveal-answer q=\"997663\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"997663\"]>[\/hidden-answer]<\/li>\r\n \t
                                        4. [latex]\\Large\\frac{3}{5}\\normalsize\\text{___}0.35[\/latex]<\/li>\r\n \t
                                        5. [latex]\\text {0.725___}\\Large\\frac{3}{4}[\/latex]\r\n[reveal-answer q=\"763024\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"763024\"]<[\/hidden-answer]<\/li>\r\n \t
                                        6. [latex]\\text {0.92___}\\Large\\frac{7}{8}[\/latex]<\/li>\r\n \t
                                        7. [latex]\\text {0.66___}\\Large\\frac{2}{3}[\/latex]\r\n[reveal-answer q=\"638836\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"638836\"]<[\/hidden-answer]<\/li>\r\n \t
                                        8. [latex]\\text {0.83___}\\Large\\frac{5}{6}[\/latex]<\/li>\r\n \t
                                        9. [latex]\\text {-0.75___}-\\Large\\frac{4}{5}[\/latex]\r\n[reveal-answer q=\"550124\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"550124\"]>[\/hidden-answer]<\/li>\r\n \t
                                        10. [latex]\\text {-0.44___}-\\Large\\frac{9}{20}[\/latex]<\/li>\r\n \t
                                        11. [latex]-\\Large\\frac{3}{4}\\normalsize\\text{___} - 0.925[\/latex]\r\n[reveal-answer q=\"102965\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"102965\"]>[\/hidden-answer]<\/li>\r\n \t
                                        12. [latex]-\\Large\\frac{2}{3}\\normalsize\\text{___} - 0.632[\/latex]<\/li>\r\n<\/ol>\r\nIn the following exercises, write each set of numbers in order from least to greatest.\r\n
                                            \r\n \t
                                          1. [latex]\\Large\\frac{3}{5}\\normalsize ,\\Large\\frac{9}{16}\\normalsize,0.55[\/latex]\r\n[reveal-answer q=\"270722\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"270722\"][latex]0.55,\\Large\\frac{9}{16}\\normalsize ,\\Large\\frac{3}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          2. [latex]\\Large\\frac{3}{8}\\normalsize ,\\Large\\frac{7}{20}\\normalsize ,0.36[\/latex]<\/li>\r\n \t
                                          3. [latex]0.702,\\Large\\frac{13}{20}\\normalsize ,\\Large\\frac{5}{8}[\/latex]\r\n[reveal-answer q=\"574289\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"574289\"][latex]\\Large\\frac{5}{8}\\normalsize ,\\Large\\frac{13}{20}\\normalsize ,0.702[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          4. [latex]0.15,\\Large\\frac{3}{16}\\normalsize ,\\Large\\frac{1}{5}[\/latex]<\/li>\r\n \t
                                          5. [latex]-0.3,-\\Large\\frac{1}{3}\\normalsize ,-\\Large\\frac{7}{20}[\/latex]\r\n[reveal-answer q=\"547172\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"547172\"][latex]-\\Large\\frac{7}{20}\\normalsize ,-\\Large\\frac{1}{3}\\normalsize,-0.3[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          6. [latex]-0.2,-\\Large\\frac{3}{20}\\normalsize ,-\\Large\\frac{1}{6}[\/latex]<\/li>\r\n \t
                                          7. [latex]-\\Large\\frac{3}{4}\\normalsize ,-\\Large\\frac{7}{9}\\normalsize,-0.7[\/latex]\r\n[reveal-answer q=\"110471\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"110471\"][latex]-\\Large\\frac{7}{9}\\normalsize ,-\\Large\\frac{3}{4}\\normalsize ,-0.7[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          8. [latex]-\\Large\\frac{8}{9}\\normalsize ,-\\Large\\frac{4}{5}\\normalsize,-0.9[\/latex]<\/li>\r\n<\/ol>\r\n

                                            Simplify Expressions Using the Order of Operations<\/h3>\r\nIn the following exercises, simplify.\r\n
                                              \r\n \t
                                            1. [latex]10\\left(25.1 - 43.8\\right)[\/latex]\r\n[reveal-answer q=\"12368\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"12368\"]\u2212187[\/hidden-answer]<\/li>\r\n \t
                                            2. [latex]30\\left(18.1 - 32.5\\right)[\/latex]<\/li>\r\n \t
                                            3. [latex]62\\left(9.75 - 4.99\\right)[\/latex]\r\n[reveal-answer q=\"297668\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"297668\"]295.12[\/hidden-answer]<\/li>\r\n \t
                                            4. [latex]42\\left(8.45 - 5.97\\right)[\/latex]<\/li>\r\n \t
                                            5. [latex]\\Large\\frac{3}{4}\\normalsize\\left(12.4 - 4.2\\right)[\/latex]\r\n[reveal-answer q=\"611677\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"611677\"]6.15[\/hidden-answer]<\/li>\r\n \t
                                            6. [latex]\\Large\\frac{4}{5}\\normalsize\\left(8.6+3.9\\right)[\/latex]<\/li>\r\n \t
                                            7. [latex]\\Large\\frac{5}{12}\\normalsize\\left(30.58+17.9\\right)[\/latex]\r\n[reveal-answer q=\"168172\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"168172\"]20.2[\/hidden-answer]<\/li>\r\n \t
                                            8. [latex]\\Large\\frac{9}{16}\\normalsize\\left(21.96 - 9.8\\right)[\/latex]<\/li>\r\n \t
                                            9. [latex]10\\div 0.1+\\left(1.8\\right)4-{\\left(0.3\\right)}^{2}[\/latex]\r\n[reveal-answer q=\"71082\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"71082\"]107.11[\/hidden-answer]<\/li>\r\n \t
                                            10. [latex]5\\div 0.5+\\left(3.9\\right)6-{\\left(0.7\\right)}^{2}[\/latex]<\/li>\r\n \t
                                            11. [latex]\\left(37.1+52.7\\right)\\div \\left(12.5\\div 62.5\\right)[\/latex]\r\n[reveal-answer q=\"131837\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"131837\"]449[\/hidden-answer]<\/li>\r\n \t
                                            12. [latex]\\left(11.4+16.2\\right)\\div \\left(18\\div 60\\right)[\/latex]<\/li>\r\n \t
                                            13. [latex]{\\Large\\left(\\frac{1}{5}\\right)}^{2}\\normalsize+\\left(1.4\\right)\\left(6.5\\right)[\/latex]\r\n[reveal-answer q=\"230565\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"230565\"]9.14[\/hidden-answer]<\/li>\r\n \t
                                            14. [latex]{\\Large\\left(\\frac{1}{2}\\right)}^{2}\\normalsize+\\left(2.1\\right)\\left(8.3\\right)[\/latex]<\/li>\r\n \t
                                            15. [latex]-\\Large\\frac{9}{10}\\normalsize\\cdot\\Large\\frac{8}{15}\\normalsize+0.25[\/latex]\r\n[reveal-answer q=\"749424\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"749424\"]\u22120.23[\/hidden-answer]<\/li>\r\n \t
                                            16. [latex]-\\Large\\frac{3}{8}\\normalsize\\cdot\\Large\\frac{14}{15}\\normalsize+0.72[\/latex]<\/li>\r\n<\/ol>\r\n

                                              Mixed Practice<\/h3>\r\nIn the following exercises, simplify. Give the answer as a decimal.\r\n
                                                \r\n \t
                                              1. [latex]3\\Large\\frac{1}{4}\\normalsize -6.5[\/latex]\r\n[reveal-answer q=\"326225\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"326225\"]\u22123.25[\/hidden-answer]<\/li>\r\n \t
                                              2. [latex]5\\Large\\frac{2}{5}\\normalsize -8.75[\/latex]<\/li>\r\n \t
                                              3. [latex]10.86\\div\\Large\\frac{2}{3}[\/latex]\r\n[reveal-answer q=\"585098\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"585098\"]16.29[\/hidden-answer]<\/li>\r\n \t
                                              4. [latex]5.79\\div\\Large\\frac{3}{4}[\/latex]<\/li>\r\n \t
                                              5. [latex]\\Large\\frac{7}{8}\\normalsize\\left(103.48\\right)+1\\Large\\frac{1}{2}\\normalsize\\left(361\\right)[\/latex]\r\n[reveal-answer q=\"606793\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"606793\"]632.045[\/hidden-answer]<\/li>\r\n \t
                                              6. [latex]\\Large\\frac{5}{16}\\normalsize\\left(117.6\\right)+2\\Large\\frac{1}{3}\\normalsize\\left(699\\right)[\/latex]<\/li>\r\n \t
                                              7. [latex]3.6\\left(\\Large\\frac{9}{8}\\normalsize-2.72\\right)[\/latex]\r\n[reveal-answer q=\"923812\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"923812\"]\u22125.742[\/hidden-answer]<\/li>\r\n \t
                                              8. [latex]5.1\\left(\\Large\\frac{12}{5}\\normalsize-3.91\\right)[\/latex]<\/li>\r\n<\/ol>\r\n

                                                Find the Circumference and Area of Circles<\/h3>\r\nIn the following exercises, approximate the a) circumference and b) area of each circle. If measurements are given in fractions, leave answers in fraction form.\r\n
                                                  \r\n \t
                                                1. [latex]\\text{radius}=\\text{5 in.}[\/latex]\r\n[reveal-answer q=\"364933\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"364933\"]\u24d0 31.4 in \u24d1 78.5 sq.in.[\/hidden-answer]<\/li>\r\n \t
                                                2. [latex]\\text{radius}=\\text{20 in.}[\/latex]<\/li>\r\n \t
                                                3. [latex]\\text{radius}=\\text{9 ft.}[\/latex]\r\n[reveal-answer q=\"746318\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"746318\"]\u24d0 56.52.ft. \u24d1 254.34 sq.ft.[\/hidden-answer]<\/li>\r\n \t
                                                4. [latex]\\text{radius}=\\text{4 ft.}[\/latex]<\/li>\r\n \t
                                                5. [latex]\\text{radius}=\\text{46 cm}[\/latex]\r\n[reveal-answer q=\"834581\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"834581\"]\u24d0 288.88 cm \u24d1 6644.24 sq.cm[\/hidden-answer]<\/li>\r\n \t
                                                6. [latex]\\text{radius}=\\text{38 cm}[\/latex]<\/li>\r\n \t
                                                7. [latex]\\text{radius}=\\text{18.6 m}[\/latex]\r\n[reveal-answer q=\"199827\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"199827\"]\u24d0 116.808 m \u24d1 1086.3144 sq.m[\/hidden-answer]<\/li>\r\n \t
                                                8. [latex]\\text{radius}=\\text{57.3 m}[\/latex]<\/li>\r\n \t
                                                9. [latex]\\text{radius}=\\Large\\frac{7}{10}\\normalsize\\text{mile}[\/latex]\r\n[reveal-answer q=\"386033\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"386033\"]\u24d0 [latex]\\Large\\frac{22}{5}\\normalsize\\text{mile}[\/latex] \u24d1 [latex]\\Large\\frac{77}{50}\\normalsize\\text{sq.mile}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                10. [latex]\\text{radius}=\\Large\\frac{7}{11}\\normalsize\\text{mile}[\/latex]<\/li>\r\n \t
                                                11. [latex]\\text{radius}=\\Large\\frac{3}{8}\\normalsize\\text{yard}[\/latex]\r\n[reveal-answer q=\"878613\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"878613\"]\u24d0 [latex]\\Large\\frac{33}{14}\\normalsize\\text{yard}[\/latex] \u24d1 [latex]\\Large\\frac{99}{224}\\normalsize\\text{sq.yard}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                12. [latex]\\text{radius}=\\Large\\frac{5}{12}\\normalsize\\text{yard}[\/latex]<\/li>\r\n \t
                                                13. [latex]\\text{diameter}=\\Large\\frac{5}{6}\\normalsize\\text{m}[\/latex]\r\n[reveal-answer q=\"922931\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"922931\"]\u24d0 [latex]\\Large\\frac{55}{21}\\normalsize\\text{m}[\/latex] \u24d1 [latex]\\Large\\frac{275}{504}\\normalsize\\text{sq.m}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                14. [latex]\\text{diameter}=\\Large\\frac{3}{4}\\normalsize\\text{m}[\/latex]<\/li>\r\n<\/ol>\r\n
                                                  \r\n

                                                  Everyday Math<\/h3>\r\n

                                                  Shopping Trip<\/h4>\r\nKelly wants to buy a pair of boots that are on sale for [latex]\\Large\\frac{2}{3}[\/latex] of the original price. The original price of the boots is [latex]{$84.99}[\/latex]. What is the sale price of the shoes?\r\n[reveal-answer q=\"741329\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"741329\"]$56.66[\/hidden-answer]\r\n

                                                  Creating a Mosaic<\/h4>\r\nAn architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of [latex]6[\/latex] feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.)\r\n\r\n<\/div>\r\n
                                                  \r\n

                                                  Writing Exercises<\/h3>\r\nIs it easier for you to convert a decimal to a fraction or a fraction to a decimal? Explain.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nDescribe a situation in your life in which you might need to find the area or circumference of a circle.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n

                                                  <\/h2>\r\n

                                                  Solving Equations with Decimals<\/h2>\r\n

                                                  Determine Whether a Decimal is a Solution of an Equation<\/b><\/span><\/h3>\r\nIn the following exercises, determine whether each number is a solution of the given equation.\r\n\r\n[latex]x - 0.8=2.3[\/latex]<\/span>\r\n

                                                  \u24d0<\/span> [latex]x=2[\/latex] <\/span>\u24d1<\/span> [latex]x=-1.5[\/latex] <\/span>\u24d2<\/span> [latex]x=3.1[\/latex]\r\n[reveal-answer q=\"577332\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"577332\"]\u24d0 no \u24d1 no \u24d2 yes[\/hidden-answer]<\/span><\/p>\r\n

                                                  [latex]y+0.6=-3.4[\/latex]<\/span><\/p>\r\n

                                                  \u24d0<\/span> [latex]y=-4[\/latex] <\/span>\u24d1<\/span> [latex]y=-2.8[\/latex] <\/span>\u24d2<\/span> [latex]y=2.6[\/latex]<\/span><\/p>\r\n

                                                  [latex]\\Large\\frac{h}{1.5}\\normalsize =-4.3[\/latex]<\/span><\/p>\r\n

                                                  \u24d0<\/span> [latex]h=6.45[\/latex] <\/span>\u24d1<\/span> [latex]h=-6.45[\/latex] <\/span>\u24d2<\/span> [latex]h=-2.1[\/latex]\r\n[reveal-answer q=\"878950\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"878950\"]\u24d0 no \u24d1 yes \u24d2 no[\/hidden-answer]<\/span><\/p>\r\n

                                                  [latex]0.75k=-3.6[\/latex]<\/span><\/p>\r\n

                                                  \u24d0<\/span> [latex]k=-0.48[\/latex] <\/span>\u24d1<\/span> [latex]k=-4.8[\/latex] <\/span>\u24d2<\/span> [latex]k=-2.7[\/latex]<\/span><\/p>\r\n\r\n

                                                  Solve Equations with Decimals<\/b>\r\n<\/span><\/h3>\r\n

                                                  In the following exercises, solve the equation.<\/span><\/p>\r\n\r\n

                                                    \r\n \t
                                                  1. [latex]y+2.9=5.7[\/latex]\r\n[reveal-answer q=\"284633\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"284633\"]y = 2.8[\/hidden-answer]<\/span><\/li>\r\n \t
                                                  2. [latex]m+4.6=6.5[\/latex]<\/li>\r\n \t
                                                  3. [latex]f+3.45=2.6[\/latex]\r\n[reveal-answer q=\"622935\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"622935\"]f = \u22120.85[\/hidden-answer]<\/li>\r\n \t
                                                  4. [latex]h+4.37=3.5[\/latex]<\/li>\r\n \t
                                                  5. [latex]a+6.2=-1.7[\/latex]\r\n[reveal-answer q=\"752096\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"752096\"]a = \u22127.9[\/hidden-answer]<\/li>\r\n \t
                                                  6. [latex]b+5.8=-2.3[\/latex]<\/li>\r\n \t
                                                  7. [latex]c+1.15=-3.5[\/latex]\r\n[reveal-answer q=\"576735\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"576735\"]c = \u22124.65[\/hidden-answer]<\/li>\r\n \t
                                                  8. [latex]d+2.35=-4.8[\/latex]<\/li>\r\n \t
                                                  9. [latex]n - 2.6=1.8[\/latex]\r\n[reveal-answer q=\"107207\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"107207\"]n = 4.4[\/hidden-answer]<\/li>\r\n \t
                                                  10. [latex]p - 3.6=1.7[\/latex]<\/li>\r\n \t
                                                  11. [latex]x - 0.4=-3.9[\/latex]\r\n[reveal-answer q=\"965425\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"965425\"]x = \u22123.5[\/hidden-answer]<\/li>\r\n \t
                                                  12. [latex]y - 0.6=-4.5[\/latex]<\/li>\r\n \t
                                                  13. [latex]j - 1.82=-6.5[\/latex]\r\n[reveal-answer q=\"499365\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"499365\"]j = \u22124.68[\/hidden-answer]<\/li>\r\n \t
                                                  14. [latex]k - 3.19=-4.6[\/latex]<\/li>\r\n \t
                                                  15. [latex]m - 0.25=-1.67[\/latex]\r\n[reveal-answer q=\"87367\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"87367\"]m = \u22121.42[\/hidden-answer]<\/li>\r\n \t
                                                  16. [latex]q - 0.47=-1.53[\/latex]<\/li>\r\n \t
                                                  17. [latex]0.5x=3.5[\/latex]\r\n[reveal-answer q=\"244900\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"244900\"]x = 7[\/hidden-answer]<\/li>\r\n \t
                                                  18. [latex]0.4p=9.2[\/latex]<\/li>\r\n \t
                                                  19. [latex]-1.7c=8.5[\/latex]\r\n[reveal-answer q=\"943204\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"943204\"]c = \u22125[\/hidden-answer]<\/li>\r\n \t
                                                  20. [latex]-2.9x=5.8[\/latex]<\/li>\r\n \t
                                                  21. [latex]-1.4p=-4.2[\/latex]\r\n[reveal-answer q=\"194199\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"194199\"]p = 3[\/hidden-answer]<\/li>\r\n \t
                                                  22. [latex]-2.8m=-8.4[\/latex]<\/li>\r\n \t
                                                  23. [latex]-120=1.5q[\/latex]\r\n[reveal-answer q=\"180796\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"180796\"]q = \u221280[\/hidden-answer]<\/li>\r\n \t
                                                  24. [latex]-75=1.5y[\/latex]<\/li>\r\n \t
                                                  25. [latex]0.24x=4.8[\/latex]\r\n[reveal-answer q=\"951311\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"951311\"]x = 20[\/hidden-answer]<\/li>\r\n \t
                                                  26. [latex]0.18n=5.4[\/latex]<\/li>\r\n \t
                                                  27. [latex]-3.4z=-9.18[\/latex]\r\n[reveal-answer q=\"846024\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"846024\"]z = 2.7[\/hidden-answer]<\/li>\r\n \t
                                                  28. [latex]-2.7u=-9.72[\/latex]<\/li>\r\n \t
                                                  29. [latex]\\Large\\frac{a}{0.4}\\normalsize =-20[\/latex]\r\n[reveal-answer q=\"160417\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"160417\"]a = \u22128[\/hidden-answer]<\/li>\r\n \t
                                                  30. [latex]\\Large\\frac{b}{0.3}\\normalsize =-9[\/latex]<\/li>\r\n \t
                                                  31. [latex]\\Large\\frac{x}{0.7}\\normalsize =-0.4[\/latex]\r\n[reveal-answer q=\"700886\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"700886\"]x = \u22120.28[\/hidden-answer]<\/li>\r\n \t
                                                  32. [latex]\\Large\\frac{y}{0.8}\\normalsize =-0.7[\/latex]<\/li>\r\n \t
                                                  33. [latex]\\Large\\frac{p}{-5}\\normalsize =-1.65[\/latex]\r\n[reveal-answer q=\"19829\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"19829\"]p = 8.25[\/hidden-answer]<\/li>\r\n \t
                                                  34. [latex]\\Large\\frac{q}{-4}\\normalsize =-5.92[\/latex]<\/li>\r\n \t
                                                  35. [latex]\\Large\\frac{r}{-1.2}\\normalsize =-6[\/latex]\r\n[reveal-answer q=\"638327\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"638327\"]r = 7.2[\/hidden-answer]<\/li>\r\n \t
                                                  36. [latex]\\Large\\frac{s}{-1.5}\\normalsize =-3[\/latex]<\/li>\r\n<\/ol>\r\n

                                                    Mixed Practice<\/b>\r\n<\/span><\/p>\r\nIn the following exercises, solve the equation. Then check your solution.<\/span>\r\n

                                                      \r\n \t
                                                    1. [latex]x - 5=-11[\/latex]\r\n[reveal-answer q=\"974070\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"974070\"]x = \u22126[\/hidden-answer]<\/span><\/li>\r\n \t
                                                    2. [latex]-\\Large\\frac{2}{5}\\normalsize =x+\\Large\\frac{3}{4}[\/latex]<\/li>\r\n \t
                                                    3. [latex]p+8=-2[\/latex]\r\n[reveal-answer q=\"240196\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"240196\"]p = \u221210[\/hidden-answer]<\/li>\r\n \t
                                                    4. [latex]p+\\Large\\frac{2}{3}\\normalsize =\\Large\\frac{1}{12}[\/latex]<\/li>\r\n \t
                                                    5. [latex]-4.2m=-33.6[\/latex]\r\n[reveal-answer q=\"890860\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"890860\"]m = 8[\/hidden-answer]<\/li>\r\n \t
                                                    6. [latex]q+9.5=-14[\/latex]<\/li>\r\n \t
                                                    7. [latex]q+\\Large\\frac{5}{6}\\normalsize =\\Large\\frac{1}{12}[\/latex][reveal-answer q=\"23566\"]Show Solution[\/reveal-answer]<\/li>\r\n<\/ol>\r\n

                                                      [hidden-answer a=\"23566\"][latex]q=-\\Large\\frac{3}{4}[\/latex][\/hidden-answer]<\/span><\/p>\r\n

                                                      [latex]\\Large\\frac{8.6}{15}\\normalsize =-d[\/latex]<\/span><\/p>\r\n

                                                      [latex]\\Large\\frac{7}{8}\\normalsize m=\\Large\\frac{1}{10}[\/latex]<\/span><\/p>\r\n

                                                      [latex]m=\\Large\\frac{4}{35}[\/latex]<\/span><\/p>\r\n

                                                      [latex]\\Large\\frac{j}{-6.2}\\normalsize =-3[\/latex]<\/span><\/p>\r\n

                                                      [latex]-\\Large\\frac{2}{3}\\normalsize =y+\\Large\\frac{3}{8}[\/latex]<\/span><\/p>\r\n

                                                      [latex]y=-\\Large\\frac{25}{24}[\/latex]<\/span><\/p>\r\n

                                                      [latex]s - 1.75=-3.2[\/latex]<\/span><\/p>\r\n

                                                      [latex]\\Large\\frac{11}{20}\\normalsize =-f[\/latex]<\/span><\/p>\r\n

                                                      [latex]f=-\\Large\\frac{11}{20}[\/latex]<\/span><\/p>\r\n

                                                      [latex]-3.6b=2.52[\/latex]<\/span><\/p>\r\n

                                                      [latex]-4.2a=3.36[\/latex]<\/span><\/p>\r\n

                                                      a<\/i> = \u22120.8<\/span><\/p>\r\n

                                                      [latex]-9.1n=-63.7[\/latex]<\/span><\/p>\r\n

                                                      [latex]r - 1.25=-2.7[\/latex]<\/span><\/p>\r\n

                                                      r<\/i> = \u22121.45<\/span><\/p>\r\n

                                                      [latex]\\Large\\frac{1}{4}\\normalsize n=\\Large\\frac{7}{10}[\/latex]<\/span><\/p>\r\n

                                                      [latex]\\Large\\frac{h}{-3}\\normalsize =-8[\/latex]<\/span><\/p>\r\n

                                                      h<\/i> = 24<\/span><\/p>\r\n

                                                      [latex]y - 7.82=-16[\/latex]<\/span><\/p>\r\n\r\n

                                                      Translate to an Equation and Solve<\/b>\r\n<\/span><\/h3>\r\n

                                                      In the following exercises, translate and solve.<\/span><\/p>\r\n\r\n

                                                        \r\n \t
                                                      1. The difference of [latex]n[\/latex] and [latex]1.9[\/latex] is [latex]3.4[\/latex].\r\n[reveal-answer q=\"945583\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"945583\"][latex]n - 1.9=3.4;5.3[\/latex][\/hidden-answer]<\/span><\/li>\r\n \t
                                                      2. The difference [latex]n[\/latex] and [latex]1.5[\/latex] is [latex]0.8[\/latex].<\/li>\r\n \t
                                                      3. The product of [latex]-6.2[\/latex] and [latex]x[\/latex] is [latex]-4.96[\/latex].\r\n[reveal-answer q=\"608215\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"608215\"]\u22126.2x = \u22124.96; 0.8[\/hidden-answer]<\/li>\r\n \t
                                                      4. The product of [latex]-4.6[\/latex] and [latex]x[\/latex] is [latex]-3.22[\/latex].<\/li>\r\n \t
                                                      5. The quotient of [latex]y[\/latex] and [latex]-1.7[\/latex] is [latex]-5[\/latex].\r\n[reveal-answer q=\"456493\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"456493\"][latex]\\Large\\frac{y}{-1.7}\\normalsize =-5;8.5[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                      6. The quotient of [latex]z[\/latex] and [latex]-3.6[\/latex] is [latex]3[\/latex].<\/li>\r\n \t
                                                      7. The sum of [latex]n[\/latex] and [latex]-7.3[\/latex] is [latex]2.4[\/latex].\r\n[reveal-answer q=\"411534\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"411534\"]n + (\u22127.3) = 2.4; 9.7[\/hidden-answer]<\/li>\r\n \t
                                                      8. The sum of [latex]n[\/latex] and [latex]-5.1[\/latex] is [latex]3.8[\/latex].<\/li>\r\n<\/ol>\r\n \r\n
                                                        \r\n

                                                        Everyday math<\/h3>\r\n
                                                          \r\n \t
                                                        1. Shawn bought a pair of shoes on sale for [latex]$78[\/latex] . Solve the equation [latex]0.75p=78[\/latex] to find the original price of the shoes, [latex]p[\/latex].\r\n[reveal-answer q=\"798860\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"798860\"]$104[\/hidden-answer]<\/span><\/li>\r\n \t
                                                        2. Mary bought a new refrigerator. The total price including sales tax was [latex]{$1,350}[\/latex]. Find the retail price, [latex]r[\/latex], of the refrigerator before tax by solving the equation [latex]1.08r=1,350[\/latex].<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n
                                                          \r\n

                                                          Writing Exercises<\/b><\/h3>\r\n