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Chapter 2: Q7. (page 72)

Evaluate the expression using the distributive property and mental math.5  (  2.9)

Short Answer

Expert verified

5 ( 2.9 )  =14.5.

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 2.9 as 2 + 0.9, to evaluate the expression 5(2.9), we can use the distributive method of multiplication.

Distributive Property of Multiplication

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

5 ( 2.9 ) â¶Ä‰= â¶Ä‰5 â¶Ä‰( â¶Ä‰2 â¶Ä‰+ â¶Ä‰0.9 â¶Ä‰) â¶Ä‰= â¶Ä‰5 â¶Ä‰Â·â€‰â¶Ä‰2 â¶Ä‰+ â¶Ä‰5 â¶Ä‰Â·â€‰â¶Ä‰0.9 â¶Ä‰= â¶Ä‰10 â¶Ä‰+ â¶Ä‰4.5 â¶Ä‰= â¶Ä‰14.5 5 ( 2.9 ) â¶Ä‰=14.5

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Most popular questions from this chapter

Perform the indicated operation. (pp. 750–752)

6.93  ÷  2.1

Which property allows you to write?

4 + (3 +9 )  =  (4 +3)+9

Simplify the expression.

m+5+9

For the given expression,identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

 10x+7+3x

Use the distributive property to evaluate the expression.

( - 2n-3 )(-8)
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