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Evaluate the expression using the distributive property and mental math.

3(96)

Short Answer

Expert verified

3(96)=288.

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 – 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

03

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

We can write 96 as 90+ 6, to evaluate the expression 3(96), we can use the distributive method of multiplication.

Distributive Property of Multiplication

Property: a(b+c)=a·b+a·c

3  (  96  )  =  3  (  90  +  6  )  =  3  ·  90  +  3  ·  6  =  270  +  18  =  2883(96)=288

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