Indices Revision Stage 4 SACHS

Which number is divisible by 3?

24 300
18521
30 323
9191

Which number is divisible by 6?

24 302
18521
30 324
9191

The HCF of 100 (2 x 2 x 5 x 5)

             and 80 (2 x 2 x 2 x 2 x 5) is:

2 x 5
2 x 2 x 5
2 x 2 x 5 x 5
2 x 2 x 2 x 2 x 5 x 5
Find,
2 x 3
3 x 11
2 x 11
2 x 3 x 11

What is 150 ÷ 5 × 3?

9
10
30
90

What is 4+ 3 × 23?

27
40
152
392

Given 196 = 2 x 2 x 7 x 7,

2
7
14
27
4
6
8
12

23 =

2 and 3
3 and 4
5 and 6
7 and 8

√10 is between;

√12 = √10 + √2
TRUE
FALSE
Multiplication: when the base is the same, add the indices.
Complete:
and the missing power is.......
54 x 5   = 59
72 x 76 = 7
37 x 34 = 3
e.g. 53 x 54 = 57
Division: when the base is the same, subtract the indices.
Complete:
and the missing power is.......
512 ÷ 5   = 55
79 ÷ 76 = 7
37 ÷ 34 = 3
e.g. 58 ÷ 53 = 55
Complete:
Power to a Power: multiply the indices.
and the missing power is.......
(52)   = 516
(75)4 = 7
(32)6 = 3
e.g. (53)4 = 512
Complete:
Zero Index: any value, to the power of zero, equals 1.
But...
5 + 90 = 
12=
e.g. 70 = 1
30 = 
Factor Tree
x
4 x 2
8    x   10
80
2 x
84 =
8 + 8 + 8 + 8
4 x 4 x 4 x 4
8 x 8 x 8 x 8
8 x 4
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