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

Difficulty Level: Basic Created by: CK-12
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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 \{ 3 + [ 2 - ( 5 + 4 ) ] \}. 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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Date Created:
Dec 19, 2012
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Aug 11, 2016
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