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Use the distributive property to evaluate the expression.

(4-10)  7

Short Answer

Expert verified

(4  -  10  ) 7   =  -  42

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  (7  -  4  )  =  12  ·  7  -  12  ·  4  =  84  -  48  = 36

03

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

Distributive Property of Multiplication

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

According to the above property, we can evaluate the expression:

(4 â¶Ä‰âˆ’ â¶Ä‰10) 7= â¶Ä‰4 â¶Ä‰Â·â€‰â¶Ä‰7 â¶Ä‰âˆ’ â¶Ä‰10 â¶Ä‰Â·â€‰â¶Ä‰7 â¶Ä‰= â¶Ä‰28 â¶Ä‰âˆ’ â¶Ä‰70 â¶Ä‰= â¶Ä‰âˆ’ â¶Ä‰42 (4 â¶Ä‰âˆ’ â¶Ä‰10 â¶Ä‰) 7 â¶Ä‰â€‰= â¶Ä‰âˆ’ â¶Ä‰42

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