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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$$\mathbb R$$

$$\mathbb Q$$

$$\mathbb Z$$

$$\mathbb N$$

$\text{one million}$

$\frac34$

$\cos 40^o$

$\pi$

$\sin 30^o$

$-\sqrt9$

$\frac{57}{9}$

$\frac23$

$\sqrt2$

$1.\dot4\dot2$

$\frac12\div\frac12$

$7$

$-2.479315...$

$1.3$

$1\div6$

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Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

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.

If you make any mistakes don't forget to do your corrections! You can have as many attempts as you want to get the right answer.

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Numbers in Words

Find the five lettered mathematical words by matching numbers with their equivalent in words. So far this activity has been accessed 18072 times and 834 people have earned a Transum Trophy for completing it.

Number Systems

Featured Activity

Without Lifting

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Numbers in Words