Question

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

`3  "and" (-2)/7`

Answer 1

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.

Answer 2

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