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Which statement about the rational number is CORRECT?

Class 7Rational NumbersRational Numbers
  • AIts additive inverse is and its reciprocal is
  • BIts additive inverse is and its reciprocal is
  • CIts additive inverse and its reciprocal are both
  • DIts additive inverse is and its reciprocal is

Step-by-Step Solution

Additive inverse: flip the SIGN only — . Reciprocal: flip the NUMBER over and keep the sign — . The wrong options either swap the two ideas or make the reciprocal positive; a negative number's reciprocal is always negative.
Answer: A) Its additive inverse is and its reciprocal is

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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Which rational number must be added to 7/-15 so that the sum is 0?Arrange -4/5, -2/3 and -7/10 in DESCENDING order (greatest first).Which of these four rational numbers is the SMALLEST?Which symbol makes this true? -8/9 ___ -9/10Which of 5/-6 and -2/3 lies CLOSER to 0 on the number line?