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Neha multiplies a fraction by its reciprocal and gets a number n.
She then multiplies any rational number by n.
What happens to that rational number, and why?

Class 8Properties of Rational NumbersRational Numbers
  • AIt stays the same, because n = 1 (multiplicative identity)
  • BIt becomes 0, because n = 0
  • CIt doubles, because n = 2
  • DIt becomes its reciprocal, because n = -1

Step-by-Step Solution

A fraction times its reciprocal equals 1, so n = 1. Multiplying any number by 1 leaves it unchanged (multiplicative identity).
Answer: A) It stays the same, because n = 1 (multiplicative identity)

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