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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 

− â¶Ä‰6 â¶Ä‰(10.95) â¶Ä‰= â¶Ä‰âˆ’ â¶Ä‰6 â¶Ä‰â€‰( â¶Ä‰11 â¶Ä‰âˆ’ â¶Ä‰0.05 â¶Ä‰) â¶Ä‰=(− â¶Ä‰6 ) â¶Ä‰Â·â€‰â¶Ä‰11 â¶Ä‰âˆ’ â¶Ä‰(− â¶Ä‰6 ) â¶Ä‰Â·â€‰â¶Ä‰0.05 â¶Ä‰= â¶Ä‰âˆ’ â¶Ä‰66+0.30=− â¶Ä‰65.70− â¶Ä‰6 â¶Ä‰(10.95) â¶Ä‰= â¶Ä‰âˆ’ â¶Ä‰65.70

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