Inverse Property of Addition
| Site: | Saylor Academy |
| Course: | RWM101: Foundations of Real World Math copy 1 |
| Book: | Inverse Property of Addition |
| Printed by: | Guest user |
| Date: | Tuesday, May 13, 2025, 11:33 PM |
Description
buttons.Inverse Property of Addition
Read this text to see worked problems of these real-world applications and how percentages can help us understand the questions and examples we just discussed.
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
This work is licensed under a Creative Commons Attribution 4.0 License.
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
Find the additive inverse:
(a) \( 18 \)
(b) \( \frac {7}{9} \)
(c) \( 1.2 \)
TRY IT 7.68
Find the additive inverse:
(a) \( 47 \)
(b) \( \frac {7}{13}\)
(c) \( 8.4 \)
Answers
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) \(-8.4\)