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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Polybragging

If you have ever played a card game called Top Trumps you will know the main idea of this game already. Based on the properties of polygons this game for two or more players is a fun way to learn geometric facts.

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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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

Graph Match

Match the equations with the images of the corresponding graphs. A drag-and-drop activity. So far this activity has been accessed 43565 times and 8226 people have earned a Transum Trophy for completing it.

Number Systems

Featured Activity

Polybragging

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Graph Match