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Expert-verified Found in: Page 72 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Use the distributive property to evaluate the expression.$6 \left(11- 4\right)$

$6 \text{(11} - \text{4} \text{)} = 42$.

See the 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: $\text{a} \text{(b} \text{-} \text{c} \text{)} = \text{a} · \text{b} - \text{a} · \text{c}$

Example: $8 \text{(12} - \text{4} \text{)} = \text{8} · \text{12} - \text{8} · \text{4} = 96 - 32 = 64$

## Step-3:  Use the distributive property to evaluate the expression.

Distributive Property of Multiplication

Property: $\text{a} \text{(b} \text{-} \text{c} \text{)} = \text{a} · \text{b} - \text{a} · \text{c}$

$6 \text{(11} - \text{4} \text{)} = \text{6} · \text{11} - \text{6} · \text{4} = 66 - 24 = 42$

$6 \text{(11} - \text{4} \text{)} = 42$ ### Want to see more solutions like these? 