Question

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

`2/(-5) "and" 11/(-15)`

Answer 1

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.

Answer 2

This verifies that commutative property for the addition of rational numbers.