Identify the property that the statement illustrates.

-4ab=-4ba

Short Answer

Expert verified

The statement-4ab=-4barepresents the Commutative property of Multiplication.

Step by step solution

01

Step-1 – What are real numbers? 

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

02

Step-2 – Commutative Property of Multiplication of Real Numbers: 

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

Commutative Property of Multiplication:

Property: a·b=b·a or a·b·c=b·c·a

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

Example: 12·4=4·12=48 or 5·6·4=6·4·5=120

03

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: a·b=b·a

Example: 12·4=4·12=48

So, the expression -4ab=-4ba represents the Commutative Property of Multiplication.

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