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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Snooker Investigation

Snooker Investigation

Given the width and height of a snooker table can you predict which pocket the ball will end up in and how many times will it bounce off one of the sides?

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
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Coins and Notes

Coins and Notes

Sharpen your money management skills by accurately calculating sums and working out change. So far this activity has been accessed 223 times and 23 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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