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