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Chapter 2: Q45. (page 87)

Evaluate the expression using the distributive property and mental math. 5(197)

Short Answer

Expert verified

5(197)=485

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:补鈥夆赌�(产鈥夆赌�-鈥夆赌塩鈥夆赌�)鈥夆赌�=鈥夆赌塧鈥夆赌�路鈥夆赌塨鈥夆赌�鈭�鈥夆赌塧鈥夆赌�路鈥夆赌塩鈥夆赌�

Example: 12鈥夆赌�(7鈥夆赌�-鈥夆赌�4鈥夆赌�)鈥夆赌�=鈥夆赌�12鈥夆赌�路鈥夆赌�7鈥夆赌�+鈥夆赌�12鈥夆赌�路鈥夆赌�4鈥夆赌�=鈥夆赌�84鈥夆赌�+鈥夆赌�48鈥夆赌�=鈥夆赌�36

03

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

We can write 197 as 200 鈥� 3 , to evaluate the expression 5(197), we can use the distributive method of multiplication.

Distributive Property of Multiplication

Property:补鈥夆赌�(产鈥夆赌�-鈥夆赌塩鈥夆赌�)鈥夆赌�=鈥夆赌塧鈥夆赌�路鈥夆赌塨鈥夆赌�鈭�鈥夆赌塧鈥夆赌�路鈥夆赌塩鈥夆赌�

5鈥夆赌�(鈥夆赌�197鈥夆赌�)鈥夆赌�=鈥夆赌�5鈥夆赌�(鈥夆赌�200鈭�3鈥夆赌�)鈥夆赌�=鈥夆赌�5鈥夆赌�路鈥夆赌�100鈥夆赌�鈭�鈥夆赌�5鈥夆赌�路鈥夆赌�3鈥夆赌�=鈥夆赌�500鈥夆赌�鈭�鈥夆赌�15鈥夆赌�=鈥夆赌�4855(197)=485

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