We know that 3 +5=5+3 = 8, that is, the whole numbers can be added in any order.
other words, addition is commutative for whole numbers.
Can we say the same for integers also?
We have 5+(-6)=-1 and (-6) + 5 = -1
So, 5+(- 6) = (- 6) + 5
Are the following equal?
(1) (-8) + (-9) and (- 9) + (-8)
(i) (-23) + 32 and 32 + (-23)
(iii) (-45) + 0 and 0+ (-45)
1
Try this with five other pairs of integers. Do you find any pair of integers for which
sums are different when the order is changed? Certainly not. We say that addition
commutative for integers.
n general, for any two integers a and b, we can say
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