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Chapter 2: Q. 6 (page 73)

Evaluate the expression using the distributive property and mental math. 4鈥夆赌�(鈥夆赌�7.09)

Short Answer

Expert verified

4鈥�(鈥�7.09鈥�)鈥夆赌�=28.36

Step by step solution

01

. What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

. 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 7.09 as 7 + 0.09, to evaluate the expression 4(7.09), 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�

localid="1649089376185" 4鈥�(鈥�7.09鈥�)鈥夆赌�=鈥夆赌�4鈥夆赌�(鈥夆赌�7鈥夆赌�+鈥夆赌�0.09鈥夆赌�)鈥夆赌�=鈥夆赌�4鈥夆赌�路鈥夆赌�7鈥夆赌�+鈥夆赌�4鈥夆赌�路鈥夆赌�0.09鈥夆赌�=鈥夆赌�28鈥夆赌�+鈥夆赌�0.36鈥夆赌�=鈥夆赌�28.36鈥�4鈥�(鈥�7.09鈥�)鈥夆赌�=28.36

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