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Chapter 1: Q44. (page 16)

Identify the additive inverse and multiplicative inverse for each number

44. 2.5

Short Answer

Expert verified

Additive inverse of 2.5 is -2.5 and multiplicative inverse of 2.5 is 0.4

Step by step solution

01

- Define additive inverse

Let 鈥榓鈥� be a real number such that

a+-a=0=-a+a

Then 鈥�-a鈥�is the additive inverse of 鈥榓鈥�

02

- Additive inverse of 2.5

Substitute 2.5 for a

a=2.5

Multiply both sides by -1

鈭�1脳a=鈭�1脳2.5鈭�a=鈭�2.5

Thus additive inverse of 2.5is -2.5

03

- Define multiplicative inverse

Let 鈥榓鈥� be a real number witha=0 such that

a路1a=1=1a路a

Then 鈥�1a鈥� is the multiplicative inverse of 鈥榓鈥�

04

- Multiplicative inverse of 2.5

Substitute 2.5 for a

a=2.5

Convert decimal form of rational number to fraction form

a=52

Take reciprocal on both sides

1a=1521a=25

Convert fraction form again into decimal form

1a=0.4

Thus multiplicative inverse of 2.5 is 0.4

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Most popular questions from this chapter

Write an equation whose solution is -7.

Find the value of each expression.

18-12梅3

FIREWORKS

Suppose you are about a mile from a firework display. You count 5 seconds between seeing the light and hearing the sound of the firework display. You estimate the viewing angle is about 4掳. Using the information at the left, estimate the width of the firework display.

Information at the left

To estimate the widthw in feet of a firework burst, use the formula w=20At. In this formula,A is the estimated viewing angle of the firework display andt is the time in seconds from the instant you see the light until you hear the sound.

Find the value of each expression

33.1.60.7+3.3梅2.5

Describe how will you evaluate the expressiona+bc+d梅e given values fora,b,c,d, and e
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