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Chapter 2: Q4. (page 73)

Evaluate the expression using the distributive property and mental math.

6  (103)

Short Answer

Expert verified

6(103)=618.

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 103 as 100+ 3, to evaluate the expression 6(103), we can use the distributive method of multiplication.

Distributive Property of Multiplication

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

6 â¶Ä‰( â¶Ä‰103 â¶Ä‰) â¶Ä‰= â¶Ä‰6 â¶Ä‰( â¶Ä‰100 â¶Ä‰+ â¶Ä‰3 â¶Ä‰) â¶Ä‰= â¶Ä‰6 â¶Ä‰Â·â€‰â¶Ä‰100 â¶Ä‰+ â¶Ä‰6 â¶Ä‰Â·â€‰â¶Ä‰3 â¶Ä‰= â¶Ä‰600 â¶Ä‰+ â¶Ä‰18 â¶Ä‰= â¶Ä‰618 6(103)=618

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Most popular questions from this chapter

In Exercises 1–3, evaluate the expression. Justify each of your steps.

(17 +36 )  +13  

Use the distributive property to write an equivalent variable expression.

6  ( 2p+1 )

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

 −7b+3+b−10

Snowfall Utah Olympic Park, site of the 2002 Olympic Winter Games, gets an average of 295 inches of snow each year. Use estimation to predict the total snowfall in Utah Olympic Park over a 5 year period. Justify your answer using the distributive property and mental math.

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

3x+2+5x
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