Exemplar exercise problems VI — task. Mathematics CBSE, Class 8.

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1. Which of the following is an example of distributive property of multiplication over addition for rational numbers.

$- \frac{1}{4} \times \{\frac{2}{3} + (\frac{- 4}{7})\} = \frac{2}{3} + (- \frac{1}{4}) \times (\frac{- 4}{7})$
$- \frac{1}{4} \times \{\frac{2}{3} + (\frac{- 4}{7})\} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
$- \frac{1}{4} \times \{\frac{2}{3} + (\frac{- 4}{7})\} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
$- \frac{1}{4} \times \{\frac{2}{3} + (\frac{- 4}{7})\} = \{\frac{2}{3} + (\frac{- 4}{7})\} - \frac{1}{4}$

2. Between two given rational numbers, we can find

only ten rational numbers.
one and only one rational number.
infinitely many rational numbers.
only two rational numbers.

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