Solutions

Solutions to Try Its

1. a. 111111
b. 3131
c. 4141

2. a. 4 (or 4.0), terminating
b. 0.¯6153840.¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯615384, repeating
c. –0.85, terminating

3. a. rational and repeating
b. rational and terminating
c. irrational
d. rational and repeating
e. irrational

4. a. positive, irrational; right
b. negative, rational; left
c. positive, rational; right
d. negative, irrational; left
e. positive, rational; right

5.

N W I Q Q’
a. 357357 X X
b. 0 X X X
c. 169169 X X X X
d. 2424 X
e. 4.7637637634.763763763 X

6. a. 10
b. 2
c. 4.5
d. 25
e. 26

7. a. commutative property of multiplication, associative property of multiplication, inverse property of multiplication, identity property of multiplication;
b. 33, distributive property;
c. 26, distributive property;
d. 4949, commutative property of addition, associative property of addition, inverse property of addition, identity property of addition;
e. 0, distributive property, inverse property of addition, identity property of addition

8.

Constants Variables
a. 2πr(r+h)2πr(r+h) 2,π2,π r,hr,h
b. 2(L + W) 2 L, W
c. 4y3+y4y3+y 4 yy

9. a. 5
b. 11
c. 9
d. 26

10. a. 4
b. 11
c. 1213π1213π
d. 1728
e. 3

11. 1,152 cm2

12. a. 2y2z or 2(y+z)2y2z or 2(y+z)
b. 2t12t1
c. 3pq4p+q3pq4p+q
d. 7r2s+67r2s+6

13. A=P(1+rt)A=P(1+rt)

Solutions to Odd-Numbered Exercises

1. irrational number. The square root of two does not terminate, and it does not repeat a pattern. It cannot be written as a quotient of two integers, so it is irrational.

3. The Associative Properties state that the sum or product of multiple numbers can be grouped differently without affecting the result. This is because the same operation is performed (either addition or subtraction), so the terms can be re-ordered.

5. 66

7. 22

9. 99

11. 9

13. 4

15. 4

17. 0

19. 9

21. 25

23. 66

25. 17

27. 4

29. 44

31. 66

33. ±1±1

35. 2

37. 2

39. 14y1114y11

41. 4b+14b+1

43. 43z343z3

45. 9y+459y+45

47. 6b+66b+6

49. 16x316x3

51. 9x9x

53. 12(4010)+512(4010)+5

55. irrational number

57. g+4002(600)=1200g+4002(600)=1200

59. inverse property of addition

61. 68.4

63. true

65. irrational

67. rational