Class 8 Rational Numbers CBSE Questions & Answers

Name the property under multiplication used in\(\left( {\frac{{ - 1}}{5} \times \frac{1}{2}} \right) \times \frac{1}{3} = \frac{{ - 1}}{5} \times \left( {\frac{1}{2} \times \frac{1}{3}} \right)\).

A number which cannot be written in the form\(\frac{p}{q}\), where p and q are integers and \(q \ne {\text{ }}0\)is called a _________.

In general, \(a{\text{ }} \times {\text{ }}b{\text{ }} = {\text{ }}\_\_\_\_\_\_\_\)for any two rational numbers a and b.

__________ is called the identity for the addition of rational numbers.

The numbers ________ and ________ are their own reciprocals.

Find: \( - \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}\)

Multiply \(\frac{3}{{11}}\) by the reciprocal of\(\frac{{ - 4}}{{11}}\),

Tell what property allows us to compute \(\frac{1}{2} + \left( {\frac{1}{3} + \frac{1}{4}} \right) = \left( {\frac{1}{2} + \frac{1}{3}} \right) + \frac{1}{4}\)

Tell what property allows us to compute \(\frac{1}{2} \times \left( {3 \times \frac{1}{4}} \right) = \left( {\frac{1}{2} \times 3} \right) \times \frac{1}{4}\)

Write the rational number that does not have a reciprocal.

Name the property under multiplication used in\(\left( {\frac{{ - 1}}{5} + \frac{1}{2}} \right) + \frac{1}{4} = \frac{{ - 1}}{5} + \left( {\frac{1}{2} + \frac{1}{4}} \right)\).

A number which cannot be written in the form\(\frac{p}{q}\), where p and q are integers and \(q \ne {\text{ }}0\)is called a _________.

In general, \(a{\text{ }} + {\text{ }}b{\text{ }} = {\text{ }}\_\_\_\_\_\_\_\)for any two rational numbers a and b.

Zero is called the identity for the __________ of rational numbers.

The numbers 1 and -1 are their own ________.