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