December 2020
Intermediate to advanced
369 pages
14h 24m
English
Content preview from Pearson IIT Foundation Mathematics Class 7, 8th Edition by Pearson
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Chapter 1
1.4
Additive Inverse
When the sum of two integers is zero, then each integer is said to be the additive inverse of the
other.
For example, 2 + (−2) = 0.
−2 is the additive inverse of 2 and 2 is the additive inverse of −2.
5 is the additive inverse of −5.
−20 is the additive inverse of 20.
Properties of Integers under Addition
1. Closure property: For any two integers p and q, (p + q) is an integer.
When we add two integers, their sum is also an integer.
For example, 15 + 12 = 27; 20 + (−11) = 9
2. Commutative property: For any two integers p and q, p + q = q + p.
For example, 3 + 2 = 2 + 3; 5 + (−16) = (−16) + 5
Note Subtraction is not ...
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