Rational number between -2 and -1?

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Anastasia Macdonald · Accepted Answer

Any number that can be expressed as a fraction using integers is referred to as rational.
Between -2 and -1, there are an infinite number of rational numbers. The numbers -2 and -1 can be used to find one by slightly changing their appearance:

- \frac{2}{1} (\frac{10}{10}) = - \frac{20}{10}

- \frac{1}{1} (\frac{10}{10}) = - \frac{10}{10}

Notice that I haven't changed the values at all - I've simply multiplied them by a creative form of the number 1.
With the two numbers written in fractional form this way, it's easier to see a few of the rational numbers that sit between -2 and -1:

- \frac{11}{10}, - \frac{12}{10}, ... - \frac{19}{10}

and we can express these as decimals:

- 1.1, - 1.2, ... - 1.9

In fact, I can write any string of decimals and know that I can convert it to fractional form as long as the string of decimals ends at some point. This number is rational as a result:
-1.232989487738472634985986

Rational number between -2 and -1?

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