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Evaluate the expression using the distributive property and mental math.

4  (  98  )

Short Answer

Expert verified

4  (98 )  =  392.

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  (6  -  4  )  =  12  ·  6  -  12  ·  4  =  72  -  48  =  24

03

Step-3:  Evaluate the expression using the distributive property and mental math.        

We can write 98 as (100 – 2), to evaluate the expression 4(98), we can use the distributive method of multiplication.

Distributive Property of Multiplication

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

4 â¶Ä‰( â¶Ä‰98 â¶Ä‰) â¶Ä‰= â¶Ä‰4 â¶Ä‰(100−2) â¶Ä‰= â¶Ä‰4 â¶Ä‰Â·â€‰â¶Ä‰100 â¶Ä‰âˆ’ â¶Ä‰4 â¶Ä‰Â·â€‰â¶Ä‰2 â¶Ä‰= â¶Ä‰400 â¶Ä‰âˆ’ â¶Ä‰8 â¶Ä‰= â¶Ä‰3924 â¶Ä‰(98 ) â¶Ä‰= â¶Ä‰392

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