LOGICAL THINKING are Q9- Atul and Yamini playing game Atwi A Take a non-zero rational number Yamini Done Atul. Interchange the numerator and the denominator. Yamini Done Atul: Multiply the number with one original number. Yamini. Done Alut: The result is 1 Yamini Yes How is Atul able to determine the correct answer?
Answers
Given : Atul and Yamini playing game
Atul Take a non-zero rational number
Yamini Done
Atul. Interchange the numerator and the denominator.
Yamini Done
Atul: Multiply the number with one original number.
Yamini. Done
Atul : The result is 1
Yamini Yes
To Find : How is Atul able to determine the correct answer?
Solution:
Rational number is number of the form p/q where p , q are integers and q ≠ 0
Assumed number p/q
Interchange the numerator and the denominator.
=> q/p
Multiplication of ( p/q ) * (q/p) = 1
by changing numerator and denominator multiplicative inverse is obtained
if numerator and denominator non zeroes
and multiplication of number and multiplication inverse is 1
There could have been one exceptional case
if yamini has assumed 0/1 as rational number then reciprocal was not defined.
and numbers could not be multiplied.
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