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Unformatted text preview: 10 − 4
(d) 0.36 × 10 3 2.5 × 10 3 (2 × 10 ) × (2 × 10 )
2 2 − 2.5 × 10 3 0.00025 2500 can be written more simply as 4 × 10 4 . Write the following values as simply as possible:
(i) (3 × 10 ) × (2 × 10 ) (ii) 6 × 10 8
2 × 10 4 −2 2 (KS3/98/Ma/Tier 68/P1) 3.5 Fractional Indices
Indices that are fractions are used to represent square roots, cube roots and other
roots of numbers. a 1
2 = a for example, 9 3 a for example, 83 4 a for example, 625 4 n a 1 1 3 = 2 = 5 1 a4 =
a = 1 a3 = 1
n 1
2 = 55 MEP Y9 Practice Book A 3.5
Example 1
Calculate: 1 1 (a) 81 2 (b) 1000 3 (c) 4 − 1
2 Solution
1 (a) 81 2 = 81 =9
(b) 1000 1
3 = 3 1000 = 10
(c) 4 − 1
2 1 = 4 1
2 1
4 = 1
2 = Exercises
1. Calculate:
(a) 49 (d) 81 (g) 1
2 − (b)
1
2 92 64 (e) 100 (h) 36 1 2. − (c)
− 1
2 1
2 16 1
2 − 1
2 (f) 25 (i) 144 2 1 Calculate:
(a)
(d) 3. 1
2 8 1
3 64 (b)
1
−
3 (e) 8 − 1
3 216 (c)
1
3 (f) 125 1
3 1000 000 − Calculate:
(a) 32 (d) 81 1
5
− − 1
2 (b)
1
4 64 (e) 625 4 1
4 (c) 10 000 (f) 100 000 1 56 − 1
5 1
3 MEP Y9 Practice Book A 4. Calculate:
1
2 (a) (c) 5. 4 × 8
2 125 × 5 25 (b) (d) 625 5 1
2 1 (c) 1
3 1 16 2 = 8 (b)
(d) 81 = 9 1 100 − (b) 1
3 16 4 = 2 (a 10 ) 1
2 1
2 = 10 Simplify:
1 (a)
(c) (x 9 ) 3 − 1
2 a
a 7. − 4 Is each of the following statements true or false:
(a) 6. 1 9 × 27 3 (d) 1
2 a
a Simplify:
3 (a) x2
x (b) 8. 3 x2 1
3 (c) x a
a (d) a
a 1
3
1
2 Calculate:
− 1
2 (b) 1
0 9 + 9 2 (d) (9 − 9 0 ) 3 1 +42 (a) 4 (c) 1 256 2 1 1
2 57 1
2...
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This document was uploaded on 03/03/2014 for the course OLEVEL Mathematic at Beaconhouse School System.
 Fall '13
 Zeeshan

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