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Introduction: Rational Numbers

Which of the ...

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Question 02

Which of the following rational number is positive?

(a) $\frac{- 8}{7}$
(b) $\frac{19}{- 13}$
(c) $\frac{- 3}{- 4}$
(d) $\frac{- 21}{13}$

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Solution

We know that, when the numerator and denominator of a rational number, both are negative, it is a positive rational number. Hence among the given rational numbers $(\frac{- 3}{- 4})$ is positive.

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Question 03

Which of the following rational numbers is negative?

(a) $- (\frac{- 3}{7})$
(b) $\frac{- 5}{- 8}$
(c) $\frac{9}{8}$
(d) $\frac{3}{- 7}$

Question 6 (i)

Which of the following pairs represent the same rational numbers:
$\frac{- 7}{21} a n d \frac{3}{9}$

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Question 76 (ii)

Write the next three rational numbers to complete the pattern:
$\frac{- 8}{7}, \frac{- 16}{14}, \frac{- 24}{21}, \frac{- 32}{28},$ ___ ___ ___

Question 7 (iv)

Rewrite the following rational number in the simplest form:
$\frac{- 8}{10}$

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Introduction: Rational Numbers

Standard VII Mathematics

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