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

River Crossing

Three interactive versions of the traditional river crossing puzzles. The objective is to get all of the characters to the other side of the river without breaking any of the rules.

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.

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

Camp Bosrow

Place the camping items into the plots on the camp site according to the clues given. So far this activity has been accessed 297 times and 38 people have earned a Transum Trophy for completing it.

Number Systems

Featured Activity

River Crossing

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Camp Bosrow