# 1.4: Evaluate Numerical and Variable Expressions Using the Order of Operations

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**Practice**Order of Operations

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Term | Definition |
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Brackets |
Brackets [ ], are symbols that are used to group numbers in mathematics. Brackets are the 'second level' of grouping symbols, used to enclose items already in parentheses. |

Equation |
An equation is a mathematical sentence that describes two equal quantities. Equations contain equals signs. |

Evaluate |
To evaluate an expression or equation means to perform the included operations, commonly in order to find a specific value. |

Expression |
An expression is a mathematical phrase containing variables, operations and/or numbers. Expressions do not include comparative operators such as equal signs or inequality symbols. |

Grouping Symbols |
Grouping symbols are parentheses or brackets used to group numbers and operations. |

nested parentheses |
Nested parentheses describe groups of terms inside of other groups. By convention, nested parentheses may be identified with other grouping symbols, such as the braces "{}" and brackets "[]" in the expression . Always evaluate parentheses from the innermost set outward. |

Numerical expression |
A numerical expression is a group of numbers and operations used to represent a quantity. |

Parentheses |
Parentheses "(" and ")" are used in algebraic expressions as grouping symbols. |

PEMDAS |
PEMDAS (Please Excuse My Daring Aunt Sally) is a mnemonic device used to help remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. |

Real Number |
A real number is a number that can be plotted on a number line. Real numbers include all rational and irrational numbers. |

Variable |
A variable is a symbol used to represent an unknown or changing quantity. The most common variables are a, b, x, y, m, and n. |

Variable Expression |
A variable expression is a mathematical phrase that contains at least one variable or unknown quantity. |

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Description

Learn to use the order of operations to solve numerical and variable expressions.

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Difficulty Level:

Basic
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Date Created:

Dec 19, 2012
Last Modified:

Aug 11, 2016
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