 # Powerful Numbers I am learning to solve multiplication problems with powers (exponents). e.g. 2 2 or 2 3.

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Powerful Numbers I am learning to solve multiplication problems with powers (exponents). e.g. 2 2 or 2 3

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 2 2 If I square root the 4. I 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 3 2 If I square root the 9. I 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 4 2 If I square root the 16. I get 2. This is the length of the sides.

3 3 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 3 3 3 3 = 3 X 3 X 3 3 X 3 = 99 X 3 = 27 4 3 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 4 3 4 3 = 4 X 4 X 4 4 X 4 = 1616 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. 2 2323 2424 2 X 2 = 4 2 X 2 X 2 =8 2 X 2 X 2 X 2 = 16 2525 2 X 2 X 2 X 2 X 2 =32 2626 2 X 2 X 2 X 2 X 2 X 2 =64

Work out answers to the questions below. 1) 3 3 2) 2 2 3) 2 4 4) 3 4 5) 2 7 Need some more practise? Try Pg47 & 48 of Teacher Tools Multiplication and Division Book Numeracy resourcesNumeracy resources Click again when you have worked out all your answers. 27 4 16 81 128

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