Unit 2: Section 1 - Standard Form With Negative Indices Examples And Worksheets Page 2
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14Exercise XX
For Questions 1–8, write each number in standard form.
1 0.1
2 0.01
3 0.001
4 0.0001
____
___
1
1
5
6
7 10
8 1
1000
100
For Questions 9–16, write each one as an ordinary number.
9 10
10 10
11 1.2 3 10
12 8.7 3 10
23
25
23
21
13 10
14 10
15 4.67 3 10
16 3.4 3 10
26
24
22
24
For Questions 17–24, write each number in standard form.
17 0.543
18 0.0708
19 0.007
20 0.0009
21 0.67
22 0.007 07
23 100
24 1000
For Questions 25–34, write each one as an ordinary number.
Check your answers with a calculator.
25 10
3 10
4
26 10
3
3 10
22
21
27 10
2
4 10
28 10
3
4 10
22
23
29 (3.2 3 10
) 3 (4 3 10
3
)
30 (2.4 3 10
) 4 (8 3 10
)
22
22
21
31 (6 3 10
) 4 (2 3 10
)
32 (4 3 10
) 3 (9 3 10
2
)
21
22
23
33 (2 3 10
34 (3.6 3 10
) 3 (9 3 10
)
) 4 (1.2 3 10
)
22
21
22
23
Exercise XX*
For Questions 1–8, write each answer as an ordinary number.
1 10
3
3 10
2 10
3 10
3 10
1 10
4 10
2 10
22
21
22
22
23
21
23
Cough virus
5 10
2
6 10
7 10
8 10
3 10
3 10
1 10
2 10
24
23
21
23
24
23
21
For Questions 9–16, write each answer in standard form.
9 10 4 10
10 10
2
4 10
11 10
4 10
12 10
4 10
22
22
21
22
24
23
13 10
3
4 10
14 10
4 10
3
15 10
4 10
16 10
4 10
21
21
22
24
25
22
You will need the information given in the margin to answer Questions 17 and 18.
9.144 � 1
mm diameter
� 6
17 How many viruses, to the nearest thousand, can be placed in a straight line across the
Human hair
width of a human hair?
18 How many viruses, to the nearest thousand, can be placed in a straight line across the
width of a pin?
19 The radius of the nucleus of a hydrogen atom is 1 3 10
mm. How many would fit in a
212
straight line across a human hair of diameter 0.06 mm?
20 The average mass of a grain of sand is 10
g. How many grains of sand are there in 2 kg?
24
5 � 10
mm diameter
� 2
21 Devise a sensible method to work out (3.4 3 10
23
) 1 (3.4 3 10
22
).
Pin
22 A molecule of water is a very small thing, so small that its volume is 10
m
3
.
227
a How many molecules are there in 1 m
3
of water?
If you wrote your answer in full, how many zero digits would there be?
b If you assume that a water molecule is in the form of a cube, show that its side length
is 10
m.
29
c If a number of water molecules were placed touching each other in a straight line, how
many would there be in a line 1 cm long?
6 � 10
mm diameter
� 1
11
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education