Class 7 Comparing Rational Numbers — practice questions with answers

Rational Numbers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Which symbol makes the statement true?

\frac{3}{5}

___

\frac{4}{5}

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Answer: A) <

Same positive denominator 5, so compare numerators: 3 < 4, hence

\frac{3}{5} < \frac{4}{5}

2. How many of these are greater than

\frac{1}{2}

\frac{5}{8}, \frac{2}{5}, \frac{4}{7}, \frac{3}{8}

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Answer: A) 2

\frac{1}{2} = 0.5

\frac{5}{8} = 0.625

(>),

\frac{2}{5} = 0.4

(<),

\frac{4}{7} = 0.571

(>),

\frac{3}{8} = 0.375

(<). Two are greater than

\frac{1}{2}

3. Decide the symbol:

\frac{4}{5}

___ 0.8

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Answer: C) =

\frac{4}{5} = 4 \div 5 = 0.8

, so

\frac{4}{5} = 0.8

4. On a number line, point P is at

- \frac{1}{2}

and point Q is at

- \frac{2}{3}

.
Which point lies to the RIGHT of the other?

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Answer: A) P (

- \frac{1}{2}

)

LCM of 2 and 3 = 6.

- \frac{1}{2} = - \frac{3}{6}

- \frac{2}{3} = - \frac{4}{6}

. Since

- \frac{3}{6} > - \frac{4}{6}

, P lies to the right of Q.

5. On a number line, four points are marked: A =

- \frac{3}{4}

, B =

- \frac{1}{3}

, C =

\frac{1}{6}

, D =

\frac{2}{3}

.
Which point is the FARTHEST from 0?

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Answer: A) A

Distances from 0 are the absolute values:

\frac{3}{4} = 0.75

\frac{1}{3} = 0.333

\frac{1}{6} = 0.167

\frac{2}{3} = 0.667

. Largest is

\frac{3}{4}

, so A is farthest.

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