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91Ó°ÊÓ

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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