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प्रश्न
For the pair of rational numbers, verify commutative property of addition of rational numbers:
`(-8)/7 "and" 5/14`
उत्तर
To show that : `(-8)/7 + 5/14 = 5/14 + (-8)/7`
`therefore (-8)/7 + 5/14`
| 2 | 7, 14 |
| 7 | 7, 7 |
| 1, 1 |
`therefore` LCM of 2 and 7 = 14
`= (-8xx2)/(7xx2) + (5xx1)/(14xx1)`
`= (-16+5)/14 = (-11)/14`
And, `5/14 + (-8)/7`
`= (5xx1)/(14xx1) + (-8xx2)/(7xx2)`
`= (5-16)/14 = (-11)/14`
`therefore (-8)/7 + 5/14 = 5/14 + (-8)/7`
This verifies that commutative property for the addition of rational numbers.
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