Evaluate the expression using the distributive property and mental math. 4  (  7.09)

Short Answer

Expert verified

4(7.09)  =28.36

Step by step solution

01

. What are real numbers? 

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

02

. 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

.:  Evaluate the expression using the distributive property and mental math.       

We can write 7.09 as 7 + 0.09, to evaluate the expression 4(7.09), we can use the distributive method of multiplication.

Distributive Property of Multiplication

Property:a  (b  +  c  )  =  a  ·  b  +  a  ·  c  

localid="1649089376185" 4(7.09)  =  4  (  7  +  0.09  )  =  4  ·  7  +  4  ·  0.09  =  28  +  0.36  =  28.364(7.09)  =28.36

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