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

Lemon Law

Lemon Law

A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?

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
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Binary Numbers

Binary Numbers

Learn how to convert numbers from decimal to binary and from binary to decimal. So far this activity has been accessed 167 times and 35 Transum Trophies have been awarded for completing it.


Strange But True,

Monday, August 5, 2019

"Most natural numbers are very, very large!"

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