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Use the distributive property to evaluate the expression.

-10(18+8)

Short Answer

Expert verified

-10(18+8)=-260.

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=-a·b-a·c

Example: -3(8+5)=(-3)·8+(-3)·5=-24-15=-39

03

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

We know that double negative is always positive. -4·-7=+28

Distributive Property of Multiplication

Property: -a(b-c)=(-a)·b-(-a)·c

  10  (18  +8  )  =    10  ·  18  +    10  ·  8  =    180    80  =  260  10 (18+8  )  =    260

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