\(\mathbb N\): 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

#### Newsletter

The Transum Newsletter for April 2020 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

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.

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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

##### Recently Updated

#### Six Discrimination

The six button has dropped off! How could these calculations be done using this calculator? So far this activity has been accessed 10259 times and 13 people have earned a Transum Trophy for completing it.

Strange But True,

Monday, August 5, 2019

"Most natural numbers are very, very large!"