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Chapter 2: Q8. (page 72)

Evaluate the expression using the distributive property and mental math.8  (7.02)

Short Answer

Expert verified

8 ( 7.02 )  =56.16.

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 7.02 as 7 + 0.02, to evaluate the expression 2(7.02), we can use the distributive method of multiplication.

Distributive Property of Multiplication

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

8 ( 7.02 ) â¶Ä‰= â¶Ä‰8 â¶Ä‰( â¶Ä‰7 â¶Ä‰+ â¶Ä‰0.02 â¶Ä‰) â¶Ä‰= â¶Ä‰8 â¶Ä‰Â·â€‰â¶Ä‰7 â¶Ä‰+ â¶Ä‰8 â¶Ä‰Â·â€‰â¶Ä‰0.02 â¶Ä‰= â¶Ä‰56 â¶Ä‰+ â¶Ä‰0.16 â¶Ä‰= â¶Ä‰56.16 8 ( 7.02 ) â¶Ä‰=56.16

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