Rational Numbers - Class 8 Mathematics - Chapter 1 - Notes, NCERT Solutions & Extra Questions
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Back Questions - Rational Numbers | NCERT | Mathematics | Class 8
Find $\frac{3}{7}+\left(\frac{-6}{11}\right)+\left(\frac{-8}{21}\right)+\left(\frac{5}{22}\right)$
The sum of the given fractions is \(-\frac{125}{462}\) or approximately \(-0.2706\).
Find \(\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times\left(\frac{-14}{9}\right)\)
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Find \(\frac{2}{5} \times \frac{-3}{7}-\frac{1}{14}-\frac{3}{7} \times \frac{3}{5}\)
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Name the property under multiplication used in each of the following.
(i) \(\frac{-4}{5} \times 1=1 \times \frac{-4}{5}=-\frac{4}{5}\)
(ii) \(-\frac{13}{17} \times \frac{-2}{7}=\frac{-2}{7} \times \frac{-13}{17}\)
(iii) \(\frac{-19}{29} \times \frac{29}{-19}=1\)
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Tell what property allows you to compute \(\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)\) as \(\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}\).
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The product of two rational numbers is always a ________
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If $\frac{\mathrm{p}}{\mathrm{q}}$ is a rational number, then which of the following cannot be true?
A $\mathrm{p} = 0$
B $q = 0$ C) $p=q$
D $p$ and $q$ are integers.
The correct answer is B) ( q = 0 ).
A rational number can be defined as a number which is expressed in the form:
$$ \frac{p}{q} $$
where $p$ and $q$ are integers with the condition that $ q \neq 0 $. Hence, ( q = 0 ) violates the fundamental definition of a rational number.
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Which of the following will be the first step in finding rational numbers between $\frac{3}{6}$ and $\frac{2}{3}$?
A. Find the range.
B. Find the midpoint of the range.
C. Find the LCM of the denominators.
D. None of them.
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Which of the following is an irrational number?
(A) $7\sqrt{5}$
(B) $\sqrt{3}+2$
(C) $\pi - 2$
(D) All of the above
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If $y$ is the reciprocal of rational number $x$, then the multiplicative inverse of $y$ will be
A $x$
B $y$
C $\frac{x}{y}$
D $\frac{y}{x}$
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