NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 8: Rational Numbers
Fill in the Blanks

In Questions 13 to 46, fill in the blanks to make the statements true.

Question. 13

\(-\dfrac{3}{8}\) is a _____ rational number.

Answer:

\(-\dfrac{3}{8}\) is a negative rational number.

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Question. 14

1 is a _____ rational number.

Answer:

1 is a positive rational number.

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Question. 15

The standard form of \(-\dfrac{8}{-36}\) is _____.

Answer:

The standard form of \(-\dfrac{8}{-36}\) is \(\dfrac{2}{7}\).

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Question. 16

The standard form of \(\dfrac{18}{-24}\) is _____.

Answer:

The standard form of \(\dfrac{18}{-24}\) is \(-\dfrac{3}{4}\).

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Question. 17

On a number line, \(-\dfrac{1}{2}\) is to the _____ of zero (0).

Answer:

On a number line, \(-\dfrac{1}{2}\) is to the left of zero (0).

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Question. 18

On a number line, \(\dfrac{4}{3}\) is to the _____ of zero (0).

Answer:

On a number line, \(\dfrac{4}{3}\) is to the right of zero (0).

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Question. 19

\(-\dfrac{1}{2}\) is _____ than \(\dfrac{1}{5}\).

Answer:

\(-\dfrac{1}{2}\) is smaller than \(\dfrac{1}{5}\).

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Question. 20

\(-\dfrac{3}{5}\) is _____ than 0.

Answer:

\(-\dfrac{3}{5}\) is smaller than 0.

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Question. 21

\(-\dfrac{16}{24}\) and \(\dfrac{20}{-16}\) represent _____ rational numbers.

Answer:

\(-\dfrac{16}{24}\) and \(\dfrac{20}{-16}\) represent different rational numbers.

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Question. 22

\(-\dfrac{27}{45}\) and \(-\dfrac{3}{5}\) represent _____ rational numbers.

Answer:

\(-\dfrac{27}{45}\) and \(-\dfrac{3}{5}\) represent same rational numbers.

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Question. 23

Additive inverse of \(\dfrac{2}{3}\) is _____.

Answer:

Additive inverse of \(\dfrac{2}{3}\) is -\dfrac{2}{3}.

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Question. 24

\(-\dfrac{3}{5} + \dfrac{2}{5} = \) _____.

Answer:

\(-\dfrac{3}{5} + \dfrac{2}{5} = -\dfrac{1}{5}\).

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Question. 25

\(-\dfrac{5}{6} + -\dfrac{1}{6} = \) _____.

Answer:

\(-\dfrac{5}{6} + -\dfrac{1}{6} = -1\).

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Question. 26

\(\dfrac{3}{4} \times ( -\dfrac{2}{3} ) = \) _____.

Answer:

\(\dfrac{3}{4} \times ( -\dfrac{2}{3} ) = -\dfrac{1}{2}\).

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Question. 27

\(-\dfrac{5}{3} \times ( -\dfrac{3}{5} ) = \) _____.

Answer:

\(-\dfrac{5}{3} \times ( -\dfrac{3}{5} ) = 1\).

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Question. 28

\(-\dfrac{6}{7} = \dfrac{__}{42}\)

Answer:

\(-\dfrac{6}{7} = \dfrac{-36}{42}\)

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Question. 29

\(\dfrac{1}{2} = \dfrac{6}{__}\)

Answer:

\(\dfrac{1}{2} = \dfrac{6}{12}\)

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Question. 30

\(-\dfrac{2}{9} - \dfrac{7}{9} = \) _____.

Answer:

\(-\dfrac{2}{9} - \dfrac{7}{9} = -1\).

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Question. 31

\(-\dfrac{7}{8} \; \Box \; \dfrac{8}{9}\)

Answer:

\(-\dfrac{7}{8} < \dfrac{8}{9}\)

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Question. 32

\(\dfrac{3}{7} \; \Box \; \dfrac{-5}{6}\)

Answer:

\(\dfrac{3}{7} > -\dfrac{5}{6}\)

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Question. 33

\(\dfrac{5}{6} \; \Box \; \dfrac{8}{4}\)

Answer:

\(\dfrac{5}{6} < 2\)

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Question. 34

\(-\dfrac{9}{7} \; \Box \; \dfrac{4}{-7}\)

Answer:

\(-\dfrac{9}{7} < -\dfrac{4}{7}\)

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Question. 35

\(\dfrac{8}{8} \; \Box \; \dfrac{2}{2}\)

Answer:

\(\dfrac{8}{8} = \dfrac{2}{2}\)

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Question. 36

The reciprocal of _____ does not exist.

Answer:

The reciprocal of zero does not exist.

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Question. 37

The reciprocal of 1 is _____.

Answer:

The reciprocal of 1 is 1.

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Question. 38

\(-\dfrac{3}{7} \div ( -\dfrac{7}{3} ) = \) _____

Answer:

\(-\dfrac{3}{7} \div ( -\dfrac{7}{3} ) = \dfrac{9}{49}\)

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Question. 39

\(0 \div ( -\dfrac{5}{6} ) = \) _____

Answer:

\(0 \div ( -\dfrac{5}{6} ) = 0\)

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Question. 40

\(0 \times ( -\dfrac{5}{6} ) = \) _____

Answer:

\(0 \times ( -\dfrac{5}{6} ) = 0\)

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Question. 41

_____ \(\times ( -\dfrac{2}{5} ) = 1\)

Answer:

-\dfrac{5}{2} \(\times ( -\dfrac{2}{5} ) = 1\)

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Question. 42

The standard form of rational number -1 is _____.

Answer:

The standard form of rational number -1 is -1.

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Question. 43

If m is a common divisor of a and b, then \(\dfrac{a}{b} = \dfrac{a \div m}{\_\_\_}\)

Answer:

If m is a common divisor of a and b, then \(\dfrac{a}{b} = \dfrac{a \div m}{b \div m}\).

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Question. 44

If p and q are positive integers, then \(\dfrac{p}{q}\) is a _____ rational number and \(\dfrac{p}{-q}\) is a _____ rational number.

Answer:

If p and q are positive integers, then \(\dfrac{p}{q}\) is a positive rational number and \(\dfrac{p}{-q}\) is a negative rational number.

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Question. 45

Two rational numbers are said to be equivalent or equal, if they have the same _____ form.

Answer:

Two rational numbers are said to be equivalent or equal, if they have the same simplest form.

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Question. 46

If \(\dfrac{p}{q}\) is a rational number, then q cannot be _____.

Answer:

If \(\dfrac{p}{q}\) is a rational number, then q cannot be zero.

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NCERT Exemplar Solutions Class 7 – Mathematics – Unit 8: Rational Numbers – Fill in the Blanks | Detailed Answers