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Is -5 rational or irrational

Step by step, with the reason for every step · Rational or irrational · Foundations

Step by step

The question

Question: is −5 rational or irrational?

−5

Rational means: it can be written as a fraction, with whole numbers on top and at the bottom.

Then its decimal stops, or repeats for ever.

Irrational means: no fraction works.

Its decimal never stops and never repeats.

rational = a fraction of whole numbers
decimal stops or repeats

1 Write it as a fraction

Any whole number can go over 1.

−5 is −5/1.

= −5 = −51

So −5 is rational.

Every whole number is rational, negative ones too.

= −5 is rational

2 Check

Let's check: −5 divided by 1 is −5.

The fraction is the same number.

So the answer is right!

−5 ÷ 1 = −5

Let's look back.

First: write it as a fraction.

Last: check.

Answer
= −5 is rational

Your turn

Try this one yourself, then check:

Is −10
Show the answer
rational

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