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
How does the Proofs Calculator work?
Free Proofs Calculator - Various Proofs in Algebra
This calculator has 1 input.
This calculator has 1 input.
What 2 formulas are used for the Proofs Calculator?
Take what is given
Build a bridge using corollaries, axioms, and theorems to get to the declarative statement.
Build a bridge using corollaries, axioms, and theorems to get to the declarative statement.
What 5 concepts are covered in the Proofs Calculator?
- axiom
- A statement accepted as true without proof. an unprovable rule or first principle accepted as true because it is self-evident or particularly usefu
- corollary
- A proposition formed from a proven proposition
- postulate
- A statement accepted as true without proof
- proof
- an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion
- theorem
- A statement provable using logic
