Prove prove99.7isrational

Publish date: 2024-07-16
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Prove the following

prove99.7isrational

Rational Number Definition

A number is rational (r) if
it can be expressed as the quotient of two integers, m and n

r  =  m
  n

Account for Decimal

Since we have 1 digits to the right of our decimal place,
we multiply 99.7 by 101

99.7 by 101 = 997

997 is our m value

And 10 is our n value

So we have the following ratio:

99.7  =  997
  10

Therefore, 99.7 is a rational number

Final Answer

99.7 is rational

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axiomA statement accepted as true without proof. an unprovable rule or first principle accepted as true because it is self-evident or particularly usefucorollaryA proposition formed from a proven propositionpostulateA statement accepted as true without proofproofan inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusiontheoremA statement provable using logic

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