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Notes 1.7 – Orders of Operations

This guide explains the Order of Operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). It details how to solve mathematical expressions by performing operations in the correct order: starting with parentheses and moving outward, followed by exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right). It also includes example problems for practice and an explanation of evaluating and substituting variables.

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Notes 1.7 – Orders of Operations

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  1. Notes 1.7 – Orders of Operations

  2. Order Of Operations: ( Please Excuse My Dear Aunt Sally) 1. Perform all operations enclosed in symbols of ________________ from innermost outward. 2. Perform all operations with _______________. • Perform all multiplications and divisions in order from ________to _________. 4. Perform all additions and subtractions ___ _________from left to right. PARENTHESES EXPONENTS LEFT RIGHT IN ORDER

  3. Examples: Evaluate the following.

  4. Examples: Evaluate the following.

  5. EVALUATE SUBSTITUTE To _____________an expression means to ______________for the variables in the expression and calculate the results. Evaluate 2wl + 2wh + 2lh when w = 2 , l =3 and h = 5

  6. Homework : Section1.7 pages 54-55 #’s 4, 6, 8, 25-34, 38, 40, 42

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