- \r\n \t
- Equality Symbol<\/strong>\r\n
- \r\n \t
- [latex]a=b[\/latex] is read as [latex]a[\/latex] is equal to [latex]b[\/latex]<\/li>\r\n \t
- The symbol [latex]=[\/latex] is called the equal sign.<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t
- Inequality<\/strong>\r\n
- \r\n \t
- [latex]a<b[\/latex] is read [latex]a[\/latex] is less than [latex]b[\/latex]<\/li>\r\n \t
- [latex]a[\/latex] is to the left of [latex]b[\/latex] on the number line
![\"..\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215805\/CNX_BMath_Figure_02_01_018_img.png\")
<\/li>\r\n \t - [latex]a>b[\/latex] is read [latex]a[\/latex] is greater than [latex]b[\/latex]<\/li>\r\n \t
- [latex]a[\/latex] is to the right of [latex]b[\/latex] on the number line
![\"..\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215806\/CNX_BMath_Figure_02_01_019_img.png\")
<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n\r\n\r\n
\r\n \r\nAlgebraic Notation<\/th>\r\n Say<\/th>\r\n<\/tr>\r\n<\/thead>\r\n \r\n [latex]a=b[\/latex]<\/td>\r\n [latex]a[\/latex] is equal to [latex]b[\/latex]<\/td>\r\n<\/tr>\r\n \r\n [latex]a\\ne b[\/latex]<\/td>\r\n [latex]a[\/latex] is not equal to [latex]b[\/latex]<\/td>\r\n<\/tr>\r\n \r\n [latex]a<b[\/latex]<\/td>\r\n [latex]a[\/latex] is less than [latex]b[\/latex]<\/td>\r\n<\/tr>\r\n \r\n [latex]a>b[\/latex]<\/td>\r\n [latex]a[\/latex] is greater than [latex]b[\/latex]<\/td>\r\n<\/tr>\r\n \r\n [latex]a\\le b[\/latex]<\/td>\r\n [latex]a[\/latex] is less than or equal to [latex]b[\/latex]<\/td>\r\n<\/tr>\r\n \r\n [latex]a\\ge b[\/latex]<\/td>\r\n [latex]a[\/latex] is greater than or equal to [latex]b[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n - \r\n \t
- Exponential Notation<\/strong>\r\n
- \r\n \t
- For any expression [latex]{a}^{n}[\/latex] is a factor multiplied by itself [latex]n[\/latex] times, if [latex]n[\/latex] is a positive integer.<\/li>\r\n \t
- [latex]{a}^{n}[\/latex] means multiply [latex]n[\/latex] factors of [latex]a[\/latex]
![\"..\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215807\/CNX_BMath_Figure_02_01_020_img.png\")
<\/li>\r\n \t - The expression of [latex]{a}^{n}[\/latex] is read [latex]a[\/latex] to the [latex]n[\/latex]th power.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\nOrder of Operations<\/strong> When simplifying mathematical expressions perform the operations in the following order:\r\n
- \r\n \t
- Parentheses<\/strong> and other Grouping Symbols: Simplify all expressions inside the parentheses or other grouping symbols, working on the innermost parentheses first.<\/li>\r\n \t
- Exponents<\/strong>: Simplify all expressions with exponents.<\/li>\r\n \t
- Multiplication and Division<\/strong>: Perform all multiplication and division in order from left to right. These operations have equal priority.<\/li>\r\n \t
- Addition and Subtraction<\/strong>: Perform all addition and subtraction in order from left to right. These operations have equal priority.<\/li>\r\n<\/ol>\r\n
Glossary<\/h2>\r\n
- \r\n \t
- expressions<\/strong><\/dt>\r\n \t
- An expression is a number, a variable, or a combination of numbers and variables and operation symbols.<\/dd>\r\n<\/dl>\r\n
- \r\n \t
- equation<\/strong><\/dt>\r\n \t
- An equation is made up of two expressions connected by an equal sign.<\/dd>\r\n<\/dl>\r\n \r\n
Contribute!<\/h2>
Did you have an idea for improving this content? We\u2019d love your input.<\/div>Improve this page<\/a>Learn More<\/a>","rendered":"Key Concepts<\/h2>\n
\n\n
\n Operation<\/strong><\/th>\n Notation<\/strong><\/th>\n Say:<\/strong><\/th>\n The result is\u2026<\/strong><\/th>\n<\/tr>\n<\/thead>\n\n \n Addition<\/td>\n [latex]a+b[\/latex]<\/td>\n [latex]a[\/latex] plus [latex]b[\/latex]<\/td>\n the sum of [latex]a[\/latex] and [latex]b[\/latex]<\/td>\n<\/tr>\n \n Multiplication<\/td>\n [latex]a\\cdot b,\\left(a\\right)\\left(b\\right),\\left(a\\right)b,a\\left(b\\right)[\/latex]<\/td>\n [latex]a[\/latex] times [latex]b[\/latex]<\/td>\n the product of [latex]a[\/latex] and [latex]b[\/latex]<\/td>\n<\/tr>\n \n Subtraction<\/td>\n [latex]a-b[\/latex]<\/td>\n [latex]a[\/latex] minus [latex]b[\/latex]<\/td>\n the difference of [latex]a[\/latex] and [latex]b[\/latex]<\/td>\n<\/tr>\n \n Division<\/td>\n [latex]a\\div b,a\/b,\\frac{a}{b},b\\overline{)a}[\/latex]<\/td>\n [latex]a[\/latex] divided by [latex]b[\/latex]<\/td>\n the quotient of [latex]a[\/latex] and [latex]b[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n - \n
- Equality Symbol<\/strong>\n
- \n
- [latex]a=b[\/latex] is read as [latex]a[\/latex] is equal to [latex]b[\/latex]<\/li>\n
- The symbol [latex]=[\/latex] is called the equal sign.<\/li>\n<\/ul>\n<\/li>\n
- Inequality<\/strong>\n
- \n
- [latex]a
- [latex]a[\/latex] is to the left of [latex]b[\/latex] on the number line
<\/li>\n- [latex]a>b[\/latex] is read [latex]a[\/latex] is greater than [latex]b[\/latex]<\/li>\n
- [latex]a[\/latex] is to the right of [latex]b[\/latex] on the number line
<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n
\n \nAlgebraic Notation<\/th>\n Say<\/th>\n<\/tr>\n<\/thead>\n \n [latex]a=b[\/latex]<\/td>\n [latex]a[\/latex] is equal to [latex]b[\/latex]<\/td>\n<\/tr>\n \n [latex]a\\ne b[\/latex]<\/td>\n [latex]a[\/latex] is not equal to [latex]b[\/latex]<\/td>\n<\/tr>\n \n [latex]a [latex]a[\/latex] is less than [latex]b[\/latex]<\/td>\n<\/tr>\n \n [latex]a>b[\/latex]<\/td>\n [latex]a[\/latex] is greater than [latex]b[\/latex]<\/td>\n<\/tr>\n \n [latex]a\\le b[\/latex]<\/td>\n [latex]a[\/latex] is less than or equal to [latex]b[\/latex]<\/td>\n<\/tr>\n \n [latex]a\\ge b[\/latex]<\/td>\n [latex]a[\/latex] is greater than or equal to [latex]b[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n - \n
- Exponential Notation<\/strong>\n
- \n
- For any expression [latex]{a}^{n}[\/latex] is a factor multiplied by itself [latex]n[\/latex] times, if [latex]n[\/latex] is a positive integer.<\/li>\n
- [latex]{a}^{n}[\/latex] means multiply [latex]n[\/latex] factors of [latex]a[\/latex]<\/li>\n
- The expression of [latex]{a}^{n}[\/latex] is read [latex]a[\/latex] to the [latex]n[\/latex]th power.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
Order of Operations<\/strong> When simplifying mathematical expressions perform the operations in the following order:<\/p>\n
- \n
- Parentheses<\/strong> and other Grouping Symbols: Simplify all expressions inside the parentheses or other grouping symbols, working on the innermost parentheses first.<\/li>\n
- Exponents<\/strong>: Simplify all expressions with exponents.<\/li>\n
- Multiplication and Division<\/strong>: Perform all multiplication and division in order from left to right. These operations have equal priority.<\/li>\n
- Addition and Subtraction<\/strong>: Perform all addition and subtraction in order from left to right. These operations have equal priority.<\/li>\n<\/ol>\n
Glossary<\/h2>\n
- \n
- expressions<\/strong><\/dt>\n
- An expression is a number, a variable, or a combination of numbers and variables and operation symbols.<\/dd>\n<\/dl>\n
- \n
- equation<\/strong><\/dt>\n
- An equation is made up of two expressions connected by an equal sign.<\/dd>\n<\/dl>\n
<\/p>\n
Contribute!<\/h2>\n
Did you have an idea for improving this content? We\u2019d love your input.<\/div>\nImprove this page<\/a>Learn More<\/a><\/p>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t
- An equation is made up of two expressions connected by an equal sign.<\/dd>\n<\/dl>\n
- An expression is a number, a variable, or a combination of numbers and variables and operation symbols.<\/dd>\n<\/dl>\n
- Exponents<\/strong>: Simplify all expressions with exponents.<\/li>\n
- Parentheses<\/strong> and other Grouping Symbols: Simplify all expressions inside the parentheses or other grouping symbols, working on the innermost parentheses first.<\/li>\n
- [latex]a[\/latex] is to the left of [latex]b[\/latex] on the number line
- [latex]a
- An equation is made up of two expressions connected by an equal sign.<\/dd>\r\n<\/dl>\r\n \r\n
- An expression is a number, a variable, or a combination of numbers and variables and operation symbols.<\/dd>\r\n<\/dl>\r\n
- Exponents<\/strong>: Simplify all expressions with exponents.<\/li>\r\n \t
- Parentheses<\/strong> and other Grouping Symbols: Simplify all expressions inside the parentheses or other grouping symbols, working on the innermost parentheses first.<\/li>\r\n \t
- Exponential Notation<\/strong>\r\n