Properties of Rational Numbers

State the commutativity of rational number in subtraction.

For any two rational number $A-B\ne B-A$

Why division and subtraction not commutative for rational number ?

Which one is the commutative property of rational number.

If $a=\frac{1}{5}$ and $b=\frac{1}{6}$, then $a+b$ is also rational number. Does it satisfy the closure property of rational number.

Rational numbers are closed under addition, subtraction and multiplication. 

Associative property is valid for division of rational numbers.

Check that associative property holds for division of given rational numbers: $15$ and $3$

Associative property is valid for rational numbers for subtraction.

Check if associative property holds for the subtraction of given rational numbers:$\frac{3}{5}$ and $\frac{2}{7}$

Which one is not commutative?

Verify the associative property under division, subtraction and addition.

In which expression associative property is used.

Verify Distributive property of multiplication over addition: $p=\frac{2}{3}, q=\frac{3}{4}$ and $r=\frac{5}{6}$.

What is the additive inverse of a rational number $\frac{p}{q}$.

The multiplicative inverse of a rational number $\frac{a}{b}$ is

The multiplicative inverse of the multiplicative inverse of a non-zero whole number is _____.

Which is NOT the example of additive inverse?

State which of the following statements is true.

Name the property involved in the following example. $($closure property$/$commutativity$/$associativity$)$

$\frac{5}{2}\times \frac{3}{7}=\frac{15}{14}$