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Evaluate the expression using the distributive property and mental math.

7(109)

Short Answer

Expert verified

7(109)=763.

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 109 as (100 + 9), to evaluate the expression 7(109), we can use the distributive method of multiplication.

Distributive Property of Multiplication

Property: a(b+c)=a·b+a·c

7  (  109  )  =  4  (100+9)  =  7  ·  100  +  7  ·  9  =  700  +  63  =  7637  (109)  =  763

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