NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 8: Rational Numbers

True or False

Every natural number is a rational number but every rational number need not be a natural number.

Zero is a rational number.

Every integer is a rational number but every rational number need not be an integer.

Every negative integer is not a negative rational number.

If \(\dfrac{p}{q}\) is a rational number and m is a non-zero integer, then \(\dfrac{p}{q} = \dfrac{p \times m}{q \times m}\).

If \(\dfrac{p}{q}\) is a rational number and m is a non-zero common divisor of p and q, then \(\dfrac{p}{q} = \dfrac{p \div m}{q \div m}\).

In a rational number, denominator always has to be a non-zero integer.

If \(\dfrac{p}{q}\) is a rational number and m is a non-zero integer, then \(\dfrac{p \times m}{q \times m}\) is a rational number not equivalent to \(\dfrac{p}{q}\).

Sum of two rational numbers is always a rational number.

All decimal numbers are also rational numbers.

The quotient of two rationals is always a rational number.

Every fraction is a rational number.

Two rationals with different numerators can never be equal.

8 can be written as a rational number with any integer as denominator.

\(\dfrac{4}{6}\) is equivalent to \(\dfrac{2}{3}\).

The rational number \(-\dfrac{3}{4}\) lies to the right of zero on the number line.

The rational numbers \(-\dfrac{12}{-5}\) and \(-\dfrac{7}{17}\) are on the opposite sides of zero on the number line.

Every rational number is a whole number.

Zero is the smallest rational number.