Inverse Property of Addition
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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
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