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Powerful Numbers
I am learning to solve multiplication problems with powers (exponents).
e.g. 22 or 23
The square below is 2 cubes high and 2 cubes wide.
We can work out how many cubes there are by working out 2 X 2 = 4
Using exponents we can record this as 22
If I square root the 4.
4I get 2. This is the length of the sides.
The square below is 3 cubes high and 3 cubes wide.
We can work out how many cubes there are by working out 3 X 3 = 9
Using exponents we can record this as 32
If I square root the 9.
9I get 3. This is the length of the sides.
The square below is 4 cubes high and 4 cubes wide.
We can work out how many cubes there are by working out 4 X 4 = 16
Using exponents we can record this as 42
If I square root the 16.
16I get 2. This is the length of the sides.
33 Can be represented by a cube that is 3 small cubes high, wide and deep.
We can work out how many small cubes were used to make these by calculating 33
33 = 3 X 3 X 3
3 X 3 = 9 9 X 3 = 27
43 Can be represented by a cube that is 4 small cubes high, wide and deep.
We can work out how many small cubes were used to make these by calculating 43
43 = 4 X 4 X 4
4 X 4 = 16 16 X 4 = 64
Numbers can be raised to powers of 4, 5, 6 etc.
These numbers get big very quickly. Lets look at a couple of examples. Try to work these out as we go.
22
23
24
2 X 2 = 4
2 X 2 X 2 = 8
2 X 2 X 2 X 2 = 16
25 2 X 2 X 2 X 2 X 2 = 32
26 2 X 2 X 2 X 2 X 2 X 2 = 64
Work out answers to the questions below.
1) 33
2) 22
3) 24
4) 34
5) 27
Need some more practise? Try Pg47 & 48 of Teacher Tools Multiplication and Division Book Numeracy resources
Click again when you have worked out all your answers.
27
4
16
81
128
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