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Q41.

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Pre-algebra
Found in: Page 73
Pre-algebra

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Use the distributive property to evaluate the expression.

5(7+2+4)

5(7+2+4)=65.

See the step by step solution

Step by Step Solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Distributive Property of Multiplication 

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: a(b+c)=a·b+a·c

Example: 12(3+4)=12·3+12·4=36+48=84

Step-3:  Evaluate the expression using the distributive property and mental math. 

Distributive Property of Multiplication

Property: a(b+c)=a·b+a·c

5  (7+2+4)=  5  ·  7  +  5  ·  2  +  5  ·  4  =  35  +  10  +  20  =  655  (7+2+4)=  65

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