Digits, Grade 7, Volume 1, Homework Helper

1-6: Operations With Rational Numbers

Key Concept

Simplify: − 5(3 + 2) + (− 4)

Order of Operations Use the order of operations to simplify.

  • 1. Evaluate expressions inside grouping symbols.

  • 2. Multiply and divide from left to right.

  • 3. Add and subtract from left to right.

table with 4 rows and 2 columns , row1 column 1 , cap writetheexpression. , column 2 negative 5 open 3 plus 2 close plus open negative 4 close , row2 column 1 , cap workinsideparentheses. , column 2 negative 5 open 5 close plus open negative 4 close , row3 column 1 , cap multiply. , column 2 negative 25 plus open negative 4 close , row4 column 1 , cap add. , column 2 negative 29 , end table

Distributive Property For any numbers a, b, and c:

a(+ c) = + ac

a(− c) = − ac

You can use the Distributive Property to multiply before you add the numbers inside the parentheses.

Distributive property.


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties