Which statement about rational numbers is CORRECT?

Class 7Rational NumbersRational Numbers

AEvery integer is a rational number
BEvery rational number is an integer
CThe reciprocal of every rational number exists
DA rational number cannot be negative

Step-by-Step Solution

Each integer n equals n/1, so every integer is rational. The other statements are false

(\frac{1}{2}

is not an integer, 0 has no reciprocal, and rationals can be negative).

Answer: A) Every integer is a rational number

Key idea: Recognising rationals

If you can write a number as **integer over non-zero integer**, it is rational. So:

- All integers are rational: 5 = 5/1, 0 = 0/1, −9 = −9/1.
- All fractions with integer numerator and denominator are rational: 3/4, −2/7, 11/3.
- Any decimal that terminates or repeats is rational: 0.25 = 1/4, 0.333… = 1/3.

Numbers that cannot be written as p/q (like √2 or π) are NOT rational — they're irrational. You'll meet those in Class 9.

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