#### The definition and explanation with examples of the commutative property of rational numbers.

**The Commutative Property Of Rational Numbers**

If we take the two rational numbers -3/7 and 2 1/2 , for example, then we have :

**addition;**

# =

RESULTS ARE EQUAL TO EACH OTHER.

In general; if a/b, c/d ∈ Q then;

The set of rational numbers is commutative under addition.

**subtraction;**

# ≠

RESULTS ARE NOT EQUAL TO EACH OTHER.

In general; if a/b, c/d ∈ Q then;

The set of rational numbers is not commutative under subtraction.

**multiplication;**

# =

RESULTS ARE EQUAL TO EACH OTHER.

In general; if a/b, c/d ∈ Q then;

The set of rational numbers is commutative under multiplication.

**division;**

# ≠

RESULTS ARE NOT EQUAL TO EACH OTHER.

In general; if a/b, c/d ∈ Q then;

The set of rational numbers is not commutative under division.

the set of rationa! numbers is commutative under addition and multiplication, but it is non-commutative under subtraction and division.