Factors, Powers And Standard Form Worksheet Page 17
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21Exercise 10K
B
1
Work out the value of each of these.
Give your answer as a decimal number where appropriate.
a
(5
2
3 2
2
) 3 (2
3 5)
b
(4
5
3 10
2
) 3 (10 3 4
)
21
22
c
(2
5
3 6
3
) 3 (2
3 6
)
d
(5 3 10
2
) 3 (5
2
3 10
)
27
21
23
e
(2 3 3
2
3 5
2
) 3 (2
2
3 3)
f
(5
2
3 4
2
3 10) 3 (5
3 4
3 10
2
)
23
21
2
Work out the value of each of these.
Give your answer as a decimal number where appropriate.
3
2
3 6
6
6
2
3 3
5
_______
_______
a
b
3
3
3 6
4
6
4
3 3
3
10 3 5
9
2 3 10
7
________
________
c
d
10
4
3 5
6
2
4
3 10
4
B
3
Salma says that you can write 2
11
3 8
2
as a single power of 2.
Show working to explain why Salma is correct.
3
AO
Standard form
Look back at Section 8.3 to
refresh your memory.
Numbers in standard form have two parts.
This part is a number
This part is a
6.67 10
11
greater than or equal
power of 10.
to 1 and less than 10.
You can use standard form to write very large or very small numbers.
Numbers larger than 10 have a positive power of 10.
360 000 5 3.6 3 10
5
0.0056 5 5.6 3 10
23
Numbers less than 1 have a negative power of 10.
Example 12
B
Write these numbers in order of size, starting with the smallest.
6.4 3 10
3
1 3 10
5
7.4 3 10
5.2 3 10
3
4.3 3 10
5
26
Look at the indices fi rst. 7.4 3 10
has the
26
7.4 3 10
26
lowest index, so it is the smallest number.
5.2 3 10
3
5.2 3 10
3
and 6.4 3 10
3
have the same index.
6.4 3 10
3
5.2 is smaller than 6.4, so 5.2 3 10
3
is smaller.
1 3 10
5
4.3 3 10
5
174
Factors, powers and standard form
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