Question

For the pair of rational numbers, verify commutative property of addition of rational numbers:

`(-8)/7 "and" 5/14`

Answer 1

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.