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Chapter 2: Q. 5 (page 73)

Evaluate the expression using the distributive property and mental math. 2鈥夆赌�(8.95)

Short Answer

Expert verified

2(8.95)=17.90

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鈥夆赌�(b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�+鈥夆赌塧鈥夆赌�路鈥夆赌塩鈥夆赌�

Example: 12鈥夆赌�(3鈥夆赌�+鈥夆赌�4鈥夆赌�)鈥夆赌�=鈥夆赌�12鈥夆赌�路鈥夆赌�3鈥夆赌�+鈥夆赌�12鈥夆赌�路鈥夆赌�4鈥夆赌�=鈥夆赌�36鈥夆赌�+鈥夆赌�48鈥夆赌�=鈥夆赌�84

03

.:  Evaluate the expression using the distributive property and mental math.       

We can write 8.95 as 8.90 + 0.05, to evaluate the expression 2(8.95), we can use the distributive method of multiplication.

Distributive Property of Multiplication

Property:a鈥夆赌�(b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�+鈥夆赌塧鈥夆赌�路鈥夆赌塩鈥夆赌�

2鈥�(鈥�8.95鈥�)鈥夆赌�=鈥夆赌�2鈥夆赌�(鈥夆赌�8.90鈥夆赌�+鈥夆赌�0.05鈥夆赌�)鈥夆赌�=鈥夆赌�2鈥夆赌�路鈥夆赌�8.90鈥夆赌�+鈥夆赌�2鈥夆赌�路鈥夆赌�0.05鈥夆赌�=鈥夆赌�17.80鈥夆赌�+鈥夆赌�0.1鈥夆赌�=鈥夆赌�17.90鈥�2(8.95)=17.90

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