Number Systems

\(\mathbb N\): The set of natural or counting numbers 0, 1, 2, 3, etc. Some say this set does not include zero.

\(\mathbb Z\): The set of integers. This set is the same as the set of natural numbers but includes the negative whole numbers.

\(\mathbb Q\): The set of rational numbers. These are the numbers that can be expressed as a proper fraction or one integer divided by another.

\(\mathbb R\): The set of real numbers. That is probably all the numbers you know unless you have studied the topic of Complex Numbers.

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$$\mathbb R$$
$$\mathbb Q$$
$$\mathbb Z$$
$$\mathbb N$$
\(\text{one million}\)
\(\frac34\)
\(\cos 40^o\)
\(\pi\)
\(\sin 30^o\)
\(-\sqrt9\)
\(\frac{57}{9}\)
\(\frac23\)
\(\sqrt2\)
\(1.\dot4\dot2\)
\(\frac12\div\frac12\)
\(7\)
\(-2.479315...\)
\(1.3\)
\(1\div6\)
Featured Activity

Striped Sweets

Striped Sweets

Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations.

Check

Drag the numbers into the correct sets as shown in the Venn diagram above. When you have finished click on the 'Check' button above.

There is a solution and ad-free version of this activity available to those who have a Transum Subscription.

There are other related activities on the Transum Mathematics website to support your understanding of number.

Venn Diagram Sieve of Eratosthenes Satisfaction Recurring Decimals Number
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Pick The Primes

Pick The Primes

Pick the prime fruit from the tree as quickly as possible. Practise to improve your personal best time. So far this activity has been accessed 580 times and 48 people have earned a Transum Trophy for completing it.

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