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Chapter 2: Q8. (page 73)

Use the distributive property to evaluate the expression.

(  y  +11)(-3)

Short Answer

Expert verified

(y  +  11  )  (-3)=   -  3y  -  33.

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

Example: (8  +  4  )  (-2)=  8  ·  -2  +   4  ·  - 2  =  -  16  -  8  =  -  24

03

Step-3:  Use the distributive property to evaluate the expression.

Distributive Property of Multiplication

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

(²â â¶Ä‰+ â¶Ä‰11 â¶Ä‰) â¶Ä‰(−3)= â¶Ä‰y â¶Ä‰Â·â€‰â¶Ä‰âˆ’3 â¶Ä‰+ â¶Ä‰â€‰11 â¶Ä‰Â·â€‰â¶Ä‰âˆ’ 3 â¶Ä‰= â¶Ä‰âˆ’ â¶Ä‰3y â¶Ä‰âˆ’ â¶Ä‰33 â¶Ä‰(²â â¶Ä‰+ â¶Ä‰11 â¶Ä‰) â¶Ä‰(−3)= â¶Ä‰â€‰âˆ’ â¶Ä‰3y â¶Ä‰âˆ’ â¶Ä‰33

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Most popular questions from this chapter

ant Pumpkins A giant pumpkin can be difficult to weigh directly on a scale. To estimate the weight, you can first measure the distances a, b, and c (in inches) as shown below. The weight W (in pounds) can then be approximated using the formula W  =  1.9  (  a+b+c).

a. Use the distributive property to write the given formula without parentheses.

b. For a certain pumpkin, a  =  132inches, b  =  91inches, and c  =  85 inches. Approximate the weight of the pumpkin to the nearest pound

Evaluate the expression using the distributive property and mental math.

4  (  98  )

Use the distributive property to evaluate the expression.

6  (11-  4)

Use the distributive property to evaluate the expression.

(2+9)2

Evaluate the expression using the distributive property and mental math.

4  (105)
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