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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One Torch Tunnel

One Torch Tunnel

Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time. The solution is not obvious but when you get it you see the elegance and beauty of its cunning.

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 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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Truculent

Truculent

Can you arrange the seven counters on the grid despite their truculent behaviour? So far this activity has been accessed 20999 times and 129 people have earned a Transum Trophy for completing it.


Strange But True,

Monday, August 5, 2019

"Most natural numbers are very, very large!"

Apple

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