Indices Squares and square roots Cubes and cube
Indices Squares and square roots Cubes and cube roots Index form
Use positive integer indices to write repeated multiplication calculations, for example 2 x 2 x 2 = 24. Calculate positive integer powers and for example 2 to the power 4 is 16. Recognise simple powers of 2, 3, 4 and 5. E. g. 9 = 32 a x a = a 3 a 2 x a 3 = a 5
1
2 1 1 x 2 1 21 20
4 2 1 1 x 2 x 2 1 22 21 20
8 4 2 1 1 x 2 x 2 x 2 1 x 2 1 23 22 21 20
1 1
3 1 1 x 3 1 31 30
9 3 1 1 x 3 x 3 1 32 31 30
27 9 3 1 1 x 3 x 3 x 3 1 x 3 1 33 32 31 30
1 1
4 1 1 x 4 1 41 40
16 4 1 1 x 4 x 4 1 42 41 40
64 16 4 1 1 x 4 x 4 x 4 1 x 4 1 43 42 41 40
1 1
10 1 1 x 10 1 100
100 10 1 1 x 10 1 102 101 100
1000 10 1 1 x 10 x 10 1 x 10 1 103 102 101 100
1 1
x 1 1. x 1 x 0
x 2 x 1 1. x. x 1 x 2 x 1 x 0
x 3 x 2 x 1 1. x. x. x 1 x 3 x 2 x 1 x 0
x 2 x x 2 3 25 x x 2 8 100 x x 2 4 49 x
8 x x 2 1000 x x 2 27 x 2 x 64 x 2 x 125 x 2 x
x 3 x 3 x 25 x 3 x 100 36 x x 3 9 x 4 x x 3 49 x
12 = 22 = 32 = 42 = 52 = 62 = 102 =
13 = 23 = 33 = 43 = 53 = 63 = 103 =
? 1 7
x+1=7 ? 1 7
x+1=7 x=6 6 1 7
x+2=7 ? 7
x+2=7 x=5 5 7
2 x + 1 = 7 3 3 7 x=3
25 10 ?
x 2 + 1 = 10 25 10 ?
x 2 = 9 25 9 10 ? 1
x 2 = 9 25 9 10 3 1 x=3
? 30
x 2 + x = 30 ? 30
5 25 30 5 x=5
Base 2 Index Form 8 4 2 1 1 x 2 x 2 x 2 1 x 2 1 23 22 21 20
Base 2 Index Form 1 x 2 x 2 x 2 x 2 27 1 x 2 x 2 x 2 1 x 2 x 2 26 25 24 8 4 2 1 1 x 2 x 2 x 2 1 x 2 1 23 22 21 20
Base 3 Index Form 27 9 3 1 1 x 3 x 3 x 3 1 x 3 1 33 32 31 30
Base 3 Index Form 27 1 x 3 x 3 x 3 x x 3 x 3 3 37 36 9 3 1 1 x 3 x 3 x 3 1 x 3 x 3 1 35 34 33 32 31 30
Index Form 63 = 1 x 6 x 6 x 6 = 216 43 = 1 x 4 x 4 x 4 = 64 74 = 1 x 7 x 7 85 = 1 x 8 x 8 x 8 106 = 1 x 10 x 10 x 10 x 10 a 7 = 1 xaxaxaxa a 4 = 1 xaxa
True or False a 2 x a 3 = a 6 a 2 x a 3 = 2 a 6 a 2 a 5 a 2 x a 3 = 2 a 5 5 a a 2 x a 3 = 6 a a 2 x a 3 =
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