Site: Saylor Academy Course: RWM101: Foundations of Real World Math Book: Inverse Property of Addition
 Printed by: Guest user Date: Saturday, April 13, 2024, 3:30 AM

## Description

Read this section on the properties of identity, inverses, and zero. Complete the practice questions and check your answers.

#### Use the Inverse Properties of Addition and Multiplication

 What number added to 5 gives the additive identity, 0? $5+ \text{_______} =0$ We know $5+(-5)=0$ What number added to −6 gives the additive identity, 0? $−6+ \text{_______} =0$ We know $-6+6=0$

Notice that in each case, the missing number was the opposite of the number.

We call $-a$ the additive inverse of $a$. The opposite of a number is its additive inverse. A number and its opposite add to $0$, which is the additive identity.

Source: Rice University, https://openstax.org/books/prealgebra/pages/7-4-properties-of-identity-inverses-and-zero

## Examples and Exercises

#### EXAMPLE 7.34

Find the additive inverse of each expression: (a) $13$      (b) $-\frac {5}{8}$      (c) $0.6$

#### TRY IT 7.67

(a) $18$

(b) $\frac {7}{9}$

(c) $1.2$

#### TRY IT 7.68

(a) $47$

(b) $\frac {7}{13}$

(c) $8.4$

### Solutions

#### Example 7.34

To find the additive inverse, we find the opposite.

(a) The additive inverse of $13$ is its opposite, $-13$.

(b) The additive inverse of $-\frac{5}{8}$ is its opposite, $\frac{5}{8}$.

(c) The additive inverse of $0.6$ is its opposite, $-0.6$.

#### Try It 7.67

(a) $-18$

(b) $-\frac{7}{9}$

(c) $-1.2$

#### Try It 7.68

(a) $-47$

(b) $-\frac{7}{13}$

(c) $-8.4$