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# 1.3: PEMDAS

Difficulty Level: Basic Created by: CK-12
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Practice Order of Operations

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### Vocabulary Language: English Spanish

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 $\{ 3 + [ 2 - ( 5 + 4 ) ] \}$. Always evaluate parentheses from the innermost set outward.

order of operations

A set of rules that tells you the order in which to perform operations.

Addition is an operation used to combine groups of like terms.

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.

division

Division is a simplified form of repeated subtraction. Division is used to determine the number of times that one term may be subtracted from another before reaching zero. Phrases such as 'the quotient of', 'divided equally', and 'per' all mean to use division or to divide.

Grouping Symbols

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

multiplication

Multiplication is a simplified form of repeated addition. Multiplication is used to determine the result of adding a term to itself a specified number of times.

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.

subtraction

Subtraction is an operation used to determine the difference between values. It is the same as adding the opposite, the additive inverse, of a number. Words such as the difference between, minus, decrease, less, fewer, loss all mean to use subtraction.

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