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Expert-verified Found in: Page 66 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Identify the property that the statement illustrates.$- 4ab=- 4ba$

The statement $- 4ab = - 4ba$ represents the Commutative property of Multiplication.

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 – Commutative Property of Multiplication of Real Numbers:

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

Commutative Property of Multiplication:

Property: $\text{a} · \text{b} =\text{b} · \text{a}$ or $\text{a} · \text{b} · \text{c}=\text{b} · \text{c} · \text{a}$

If you multiply two or three real numbers in any order, their product will always be the same.

Example: $\text{12} · \text{4} =\text{4} · \text{12} = 48$ or $\text{5} · \text{6} · \text{4}=\text{6} · \text{4} · \text{5} \text{=} \text{120}$

## Step-3 – Identify the property that the statement – 4ab = – 4ba illustrates.

Commutative property of Multiplication states that If you multiply two or three real numbers in any order, their product will always be the same.

Property: $\text{a} · \text{b} =\text{b} · \text{a}$

Example: $\text{12} · \text{4} =\text{4} · \text{12} = 48$

So, the expression $- 4ab = - 4ba$ represents the Commutative Property of Multiplication. ### Want to see more solutions like these? 