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Evaluate the expression using the distributive property and mental math.

-6(10.95)

Short Answer

Expert verified

-6(10.95)=-65.70.

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: -3(8-5)=(-3)·8-(-3)·5=-24+15=-9

03

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

We can write 396 as (400 – 4), to evaluate the expression 7(109), we can use the distributive method of multiplication.

We know that double negative is always positive. -5·-4=+20

Distributive Property of Multiplication

Property: -a(b-c)=(-a)·b-(-a)·c

  6  (10.95)  =    6   (  11    0.05  )  =(  6)  ·  11    (  6)  ·  0.05  =    66+0.30=  65.70  6  (10.95)  =    65.70

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