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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 1: Q. 753 (page 161)

Find the additive inverse of-
$(a) - \frac{7}{6}$
$(b) - 0.075 (c) 23 (d) \frac{1}{4}$

Short Answer

Expert verified

Required additive inverses of-

Part $(a) - \frac{7}{6}$ is $\frac{7}{6}$

Part $(b) - 0.075$ is $0.075$

Part $(c) 23$ is $(- 23)$

Part $(d) \frac{1}{4}$ is $(- \frac{1}{4})$

Step by step solution

01

Part a.Step 1. Given information

To find additive inverse of-

(a) - \frac{7}{6}

We know, for real number $a$ additive inverse is $(- a)$

i.e. $a + (- a) = 0$

02

Part b.Step 2. Calculation

Additive inverse of-

$(a) - \frac{7}{6}$ is $- \frac{7}{6} + \frac{7}{6} = 0$ i.e. $\frac{7}{6}$

03

Part b. Step 1. Given information

To find additive inverse of-
$(b) - 0.075$

04

Part b. Step 2. Calculation

Additive inverse of-

$(b) - 0.075$ is $(- 0.075) + 0.075 = 0$ i.e. $0.075$

05

Part c. Step 1. Given information

To find additive inverse of-

$(c) 23$

06

Part c. Step 2. Calculation

Additive inverse of-

$(c) 23$ is $23 + (- 23) = 0$ i.e. $(- 23)$

07

Part d. Step 1. Given information

To find additive inverse of-

$(d) \frac{1}{4}$

08

Part d. Step 2. Calculation

Additive inverse of-

$(d) \frac{1}{4}$ is $\frac{1}{4} + (- \frac{1}{4}) = 0$ i.e. $(- \frac{1}{4})$

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Most popular questions from this chapter

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Translation from Algebra to English.

$17 < 35$

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