Math, asked by Anonymous, 7 months ago

Rational numbers fail to satisfy inverse property under multiplication for zero.
Why

Answers

Answered by AnkitaSahni
1

Answered, why rational numbers fail to satisfy inverse property under multiplication for zero.

  • Inverse property:

Rational No. × Multiplicative Inverse = Multiplicative identity

  • Multiplicative Inverse of a number is the reciprocal of number only.
  • For zero, It's reciprocal will be

Reciprocal of zero = 1/0 which not a rational number, not even a real no. . Rather, 1/0 is not defined.

  • Hence, rational numbers fail to satisfy inverse property under multiplication for zero because  1/0 is not defined.

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