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प्रश्न
For the pair of rational numbers, verify commutative property of addition of rational numbers:
`3 "and" (-2)/7`
उत्तर
Show that:
`3/1 + (-2)/7 = (-2)/7 + 3/1`
`= 3/1 + (-2)/7` (LCM of 1 and 7 = 7)
`= (3xx7)/(1xx7) - (2xx1)/(7xx1)`
`= (21-2)/7 = 19/7`
And, `(-2)/7 + 3/1`
`= (-2xx1)/(7xx1) + (3xx7)/(1xx7)`
`= (-2+21)/7 = 19/7`
`therefore 3/1 + (-2)/7 = (-2)/7 + 3/1`
This verifies that commutative property for the addition of rational numbers.
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