Question

Rational numbers are commutative under addition but not commutative under subtraction.' Justify the
statement with an example.

Answer 1

Answer:

commutative property of rational numbers states that if there are two rational numbers a and b

then a+b=b+a

let's verify it

let a be 5

let b be 6

so,

a+b=b+a

5+6=6+5

11=11

hence, L.H.S=R.H.S

so,

rational number are commutative under addition

But can we say so for substraction?

If rational numbers are commutative under subtraction then,

a-b=b-a

so,

5-6=6-5

-1≠1

LHS≠RHS

hence, rational number are not commutative under subtraction