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Evaluate the expression using the distributive property and mental math.

(211)(-3)

Short Answer

Expert verified

(211)(-3)=-633.

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: (b+c)(-a)=b·(-a)+c·(-a)=-b·a-c·a

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

03

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

We can write 211 as (200 + 11), to evaluate the expression 211(-3), we can use the distributive method of multiplication.

Distributive Property of Multiplication

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

(211)(-3)=(200+11)(-3)=200·(-3)+11·(-3)=-600-33=-633

(211)(-3)=-633

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