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Introduction: Rational Numbers

Write four mo...

Question

Write four more rational numbers in each of the following patterns:

(i) (ii)

(iii) (iv)

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Solution

(i)

It can be observed that the numerator is a multiple of 3 while the denominator is a multiple of 5 and as we increase them further, these multiples are increasing. Therefore, the next four rational numbers in this pattern are

(ii)

The next four rational numbers in this pattern are

(iii)

The next four rational numbers in this pattern are

(iv)

The next four rational numbers in this pattern are

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Similar questions

Q. Write four more rational numbers in each of the following patterns:
(i)

\frac{- 3}{5}, \frac{- 6}{10}, \frac{- 9}{15}, \frac{- 12}{20}, . . .

\frac{- 1}{4}, \frac{- 2}{8}, \frac{- 3}{12}, . . .

Question 2 (iii)

Write four more rational numbers in the following patterns:
$\frac{- 1}{6}, \frac{2}{- 12}, \frac{3}{- 18}, \frac{4}{- 24}$

Question 2 (iv)

Write four more rational numbers in the following patterns.
$\frac{- 2}{3}, \frac{2}{- 3}, \frac{4}{- 6}, \frac{6}{- 9}, \dots \dots$

Question 2 (i)

Write four more rational numbers in the following patterns:
$\frac{- 3}{5}, \frac{- 6}{10}, \frac{- 9}{15}, \frac{- 12}{20} \dots \dots$

Which of the following pairs represent the same rational number?

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

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