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Chapter 1: Q30. (page 44)

Simplify

16 (鈥�4)( 鈥� 8)

Short Answer

Expert verified

The value of the productis512

Step by step solution

01

Step-1 – Apply the concept of product

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied. The numbers that are being multiplied are called the factors and the product of two numbers is the result you get when you multiply them together.

02

Step-2 – Rule and examples of multiplication of integers 

Multiplication of Integers

RULE 1: The product of a positive integer and a negative integer is negative.

RULE 2: The product of two positive integers is positive.

RULE 3: The product of two negative integers is positive.

Type of Numbers

Result

Example

Positive x Positive

Positive

1 x 5 = 5

Negative x Negative

Positive

(鈥� 1) x (鈥� 5) = 5

Positive x Negative

Negative

1 x (鈥� 5) = 鈥� 5

Negative x Positive

Negative

( 鈥� 1) x 5 = 鈥� 5

03

Step-3 – Find the product: 16 (– 4)( – 8)

RULE 1: The product of a positive integer and a negative integer is negative.

16鈥夆赌�(鈭�鈥夆赌�4鈥夆赌�)鈥夆赌�(鈥夆赌�鈭�8)鈥夆赌�=鈥夆赌�鈭�鈥夆赌�64鈥夆赌�(鈭�鈥夆赌�8)

Rule: The product of two negative integers is positive.

鈭�鈥夆赌�64鈥夆赌�(鈭�鈥夆赌�8)鈥夆赌�=鈥夆赌�512

16鈥夆赌�(鈭�鈥夆赌�4鈥夆赌�)鈥夆赌�(鈥夆赌�鈭�8)鈥夆赌�=鈥夆赌�512.

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Most popular questions from this chapter

Evaluate the experssion when x=6

localid="1647949937822" x3

Extended Problem Solving In football, each field goal (FG) is worth 3 points. Each kicked point after touchdown (PAT) is worth 1 point. The table shows career totals for three leading kickers.

a. Let p be the number of points after touchdown that a kicker scored, and let f be the number of field goals. Write a variable expression for the total number of points.

b. Evaluate Find the total number of points for each kicker.

c. Compare List the players in order from least total number of points to greatest.

Evaluate the experssion when x=6

localid="1647947909530" 鈥�x+3

Write the power in words and as repeated multiplication. Then evaluate the power

(0.3)3

Evaluate the experssion when a=4,鈥�b=2,andc=16

localid="1647950126092" 鈥�a+b
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