Order of Operations Topic

Order of Operations

Mathematics, Grade 6

Back

Study Guide

Provides a quick overview of the topic selected!

Flash Cards

Practice and review the topic selected with illustrated flash cards!

Quiz

Assess students’ understanding of the topic selected!

Worksheets

Print illustrated worksheets!

Games

Engage students with interactive games.

Study Guide Order of Operations Mathematics, Grade 6

❮

❯

What Is Evaluating Numerical Expressions Using Order of Operations? • A numerical expression is a phrase which represents a number:  25 increased by 33 → 25 + 33 = 8  50 decreased by 34 → 50 – 34 = 16  Two-thirds of 12 → 2/3 x 12 = 8 • Some numerical expressions may require more than one operation:  6 x (20 – 13) = 43  33 – (81 ÷ 9) = 18 • Evaluating a numerical expression requires applying an order of operations: o Work from left to right o Complete the operations inside the parentheses o Simplify all exponents o Multiply or divide from left to right o Add or subtract from left to right © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

How to evaluate numerical expressions using order of operations: • Numerical expressions often require more than one step, for instance, 5 X (18 ÷ 3). • Work from left to right to solve a multi-step problem.  124 ÷ 4 – 15 → 31 – 15 = 16 • Simplify all operations inside parentheses first:  135 – (42 x 3) → 135 – 126 = 9 • Working from left to right, simplify all exponents, complete operations inside parentheses, and then solve:  632 – (232 + 3) → 632 – (529 +3) → 632 – 532 =100 • Clear parentheses and exponents, perform multiplication, and then division from left to right. Lastly, perform addition and subtraction:  53 ÷ (14 – 9) – 18 →125 ÷ 5 – 18 → 25 – 18 = 7 Try This! 102 x (54 ÷ 9) __________________________________________ 125 - (2 + 9) - 4 ________________________________________ (32 x 6) ÷ 3 ____________________________________________ 56 ÷ 8 -9 _________________________________________ 72 - (49 ÷ 7) ___________________________________________ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.