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प्रश्न
For the pair of rational numbers, verify commutative property of addition of rational numbers:
`2/(-5) "and" 11/(-15)`
उत्तर
Show that : `2/(-5) + 11/(-15) = 11/(-15) + 2/(-5)`
`= 2/(-5) + 11/(-15)`
| 3 | 5, 15 |
| 5 | 5, 5 |
| 1, 1 |
`therefore` LCM of 5 and 15 = 15
`= (-2xx3)/(5xx3) - (11xx1)/(15xx1)`
`= (-6-11)/15 = (-17)/15`
And, `11/(-15) + 2/-5`
`= (-11xx1)/(15xx1) - (2xx3)/(5xx3) = (-11-6)/15 = (-17)/15`
`therefore 2/(-5) + 11/(-15) = 11/(-15) + 2/(-5)`
This verifies that commutative property for the addition of rational numbers.
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