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Is 12 rational or irrational

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

Step by step

The question

Question: is 12 rational or irrational?

12

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.

12 is 12/1.

= 12 = 121

So 12 is rational.

Every whole number is rational, negative ones too.

= 12 is rational

2 Check

Let's check: 12 divided by 1 is 12.

The fraction is the same number.

So the answer is right!

12 ÷ 1 = 12

Let's look back.

First: write it as a fraction.

Last: check.

Answer
= 12 is rational

Your turn

Try this one yourself, then check:

Is 9
Show the answer
rational

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