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

**Associative Property Of Rational Numbers**

If we take the three rational numbers -3/4, 2/3 and 2 1/2, for example, then we have;

**addition;**

# =

RESULTS ARE EQUAL TO EACH OTHER

In general if a/b, c/d, e/f ∈ Q then;

The set of rational numbers is associative under addition.

**subtraction;**

# ≠

RESULTS ARE NOT EQUAL TO EACH OTHER

In general if a/b, c/d, e/f ∈ Q then;

The set of rational numbers is not associative under subtraction.

**multiplication;**

# =

RESULTS ARE EQUAL TO EACH OTHER

In general if a/b, c/d, e/f ∈ Q then;

The set of rational numbers is associative under multiplication.

**division;**

# ≠

RESULTS ARE NOT EQUAL TO EACH OTHER

In general if a/b, c/d, e/f ∈ Q then;

The set of rational numbers is not associative under division.

the set of rational numbers is associative under addition and muitiplication, but it is non-associative under subtraction and division.