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Question
For the pair of rational numbers, verify commutative property of addition of rational numbers:
`(-2) "and" 3/(-5)`
Solution
Show that: `(-2)/1 + (-3)/5 = (-3)/5 + (-2)/1`
`= (-2)/1 + (-3)/5` (LCM of 1 and 5 = 5)
`= (-2xx5)/(1xx5) + (-3xx1)/(5xx1)`
`= (-10-3)/5 = (-13)/5`
And, `(-3)/5 + (-2)/1`
`= (-3xx1)/(5xx1) + (-2xx5)/(1xx5)`
`= (-3-10)/5 = (-13)/5`
`therefore (-2)/1 + (-3)/5 = (-3)/5 + (-2)/1`
This verifies that commutative property for the addition of rational numbers.
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