Factors, Powers And Standard Form Worksheet Page 19
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21B
Example 13
Work these out. Give your answers in standard form.
4.5 3 10
3
________
a
3
5
b
(5 3 10
) 3 (7 3 10
)
7
5 3 10
c
(3.1 3 10
2
) 1 (6.8 3 10
3
)
d
(9.2 3 10
4
) 2 (1.6 3 10
3
)
a (5 3 10
3
) 3 (7 3 10
5
) 5 (5 3 7) 3 (10
3
3 10
5
)
35 3 10
8
is not in standard
5 35 3 10
8
form. You can use the laws
5 3.5 3 10
9
of indices to write it in
standard form.
4.5
10
3
b 4.5 3 10
3
____
____
__________
35 3 10
8
5 (3.5 3 10) 3 10
8
5
3
5
10
7
5 3 10
7
5 3.5 3 10
9
5 0.9 3 10
24
0.9 3 10
5 (9 3 10
) 3 10
24
21
24
5 9 3 10
25
5 9 3 10
.
25
c (3.1 3 10
2
) 1 (6.8 3 10
3
) 5 310 1 6800
5 7110
5 7.11 3 10
3
d (9.2 3 10
4
) 2 (1.6 3 10
3
) 5 92 000 2 1600
5 90 400
5 9.04 3 10
4
Exercise 10M
B
1
Work these out. Give your answers in standard form.
a
(2 3 10
6
) 3 (4 3 10
2
)
b
(6 3 10
4
) 3 (8 3 10
5
)
c
2
7
d
11
(2.5 3 10
) 3 (8 3 10
)
(9 3 10
) 3 (1 3 10
)
26
e
(2.5 3 10
4
) 3 (2 3 10
)
f
(3 3 10
) 3 (6.2 3 10
)
29
21
26
2
Work these out. Give your answers in standard form.
8 3 10
12
8.4 3 10
5
________
________
a
b
4 3 10
7
2 3 10
2
3 3 10
8
_______
c
d
4
9
(4.2 3 10
) 4 (2 3 10
)
6 3 10
3
e
(1 3 10
3
) 4 (4 3 10
11
)
f
(3.5 3 10
4
) 4 (5 3 10
8
)
3
Work these out. Give your answers in standard form.
a
(7 3 10
3
) 1 (6 3 10
4
)
b
(1.7 3 10
5
) 1 (3.5 3 10
4
)
c
(2.2 3 10
4
) 2 (9 3 10
3
)
d
(8.45 3 10
5
) 2 (2 3 10
4
)
e
(8 3 10
3
) 1 (6.9 3 10
5
)
f
(9.4 3 10
4
) 2 (3 3 10
2
)
176
Factors, powers and standard form
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