Warm up

Notes

Preliminary Activity

Activity

For Fun

Fractions, Decimals and Powers and Roots

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No notes today, far too easy, you should know this stuff

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Questions1. Express these fractions with a denominator that is a power of 10a) 4/5

b) 3/4

c) 1/8

d) 7/40

8/10

75/100

12

5/1000

17

5/1000

2. Simplifya) 3/4 + 2/3 + 5/12

b) 23/5 + 47/12

c) 31/5 ÷ 13/4

d) 812/15 ÷ 13/4 ÷ 21/2

3. Write each fraction as a decimala) 1/11

b) 7/9

c) 3/7

15/6

7

11/60

1

29/35

2

2/175

0.09

0.7

0.428671

. .

.

. .

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Questions1. Express these terminating decimals as fractionsa) 0.7b) 0.43c) 0.26d) 0.283e) 0.453

.

. . . . . . .

2. Express these products in index forma) 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3b) 17 x 17c) 43 x 42

d) a x a5

3. Write these divisions in index forma) 36 ÷ 32

b) 107 ÷ 10c)bm ÷ bn

d) fa ÷ fa

7/9

4

3/99

2

4/90

2

81/990

4

49/990

39

172

45

a6

34

106

mm - n 1

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4. Evaluate (as either whole numbers or fractions)a) 25

b) 34

c) (2/3)2

d) (21/2)4

e) 36 ÷ 32

f) 83 ÷ 82

h) 40

i) 3 x 60

j) 40 + 50

k) 4-1

l) 3-3

m) 49n) 1000

5. A cube has a volume of 17 576 cm3. Find the side length of the cube and its surface area.

6. The dimensions of a rectangular field are 744 m by 217 m. Find the diagonal distace across the field.

7. If n = find n when a = 4.62, b = 7.38 and c = 5.66, to two decimal places.

1/2

2/3

32814/9

391/16

8181321/4

1/27

7

100

side = 26 cm, SA = 4056 cm2

775 m

11.34

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