AQA_Bk1_chap09_Layout 1 21/01/2010 16:50 Page 294
CHAPTER 9: Number: Number properties
C
i
j
6
5
3
12
10
650
4
650 = ... ... ... ...
576
576 = ... ... ... ... ... ... ... ...
Use index notation to rewrite your answers to question 1, parts a to j.
For example:
100 = 2 × 2 × 5 × 5 = 22 × 52
and
540 = 2 × 2 × 3 × 3 × 3 × 5 = 22 × 33 × 5
Write the numbers from 1 to 50 as products of their
prime factors. Use index notation. For example:
1=1
2=2
3=3
4 = 22
5=5
6=2×3
…
Use your previous
answers to help you.
For example, 9 = 32 so as
18 = 2 × 9, 18 = 2 × 32.
a
What is special about the numbers 2, 4, 8, 16, 32, …?
b
What are the next two terms in this series?
c
What are the next three terms in the series 3, 9, 27, …?
d
Continue the series 4, 16, 64, …, for three more terms.
e
Rewrite all the series in parts a, c and d in index notation. For example, the first series
is:
21, 22, 23, 24, 25, 26, 27, …
AU
294 UNIT 2
a
Express 60 as a product of prime factors.
b
Write your answer to part a in index form.
c
Use your answer to part b to write 120, 240 and 480 as a product of prime factors in
index form.