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Chapter 2: Q46. (page 87)

Evaluate the expression using the distributive property and mental math. 4(2.8)

Short Answer

Expert verified

4鈥夆赌�(鈥夆赌�2.8鈥夆赌�)鈥夆赌�=鈥夆赌�11.2

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�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 2.8 as 3 鈥� 0.2, to evaluate the expression 4(2.8) 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�鈭�鈥夆赌塧鈥夆赌�路鈥夆赌塩鈥夆赌�

4鈥夆赌�(鈥夆赌�2.8鈥夆赌�)鈥夆赌�=鈥夆赌�4鈥�(鈥夆赌�3鈭�0.2鈥夆赌�)鈥夆赌�=鈥夆赌�4鈥夆赌�路鈥夆赌�3鈥夆赌�鈭�鈥夆赌�4鈥夆赌�路鈥夆赌�0.2鈥夆赌�=鈥夆赌�12鈥夆赌�鈭�鈥夆赌�0.8鈥夆赌�=鈥夆赌�11.24鈥夆赌�(鈥夆赌�2.8鈥夆赌�)鈥夆赌�=鈥夆赌�11.2

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Most popular questions from this chapter

Perform the indicated operation. (pp. 750鈥�752)

6.93鈥�鈥�梅鈥�鈥�2.1

What property is illustrated by the statement: 3(4-9)=鈥�鈥�3(4)鈥�鈥�-鈥�鈥�3(9)?

Explain how the commutative and associative properties of multiplication can help you evaluate the product 5鈥�鈥�路鈥�鈥�17鈥�鈥�路鈥�鈥�2鈥� mentally

Use the distributive property to evaluate the expression.

5鈥�鈥�(9-3)

For the given expression,identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

5+8w鈭�6鈭�w
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