©TeeJay Publishers
Homework for Level F book
Ch 7 - Scientific Notation
Scientific
Notation
Chapter 7
Exercise 1
1.
Copy and complete the following :–
39 000 = 3900 x 10 = 390 x .... x ....
= 3·9 x ......................
= 39 x .... x .... x ....
(Stop here, since 3·9 lies between 1 and 10).
= 3·9 x 10...
2.
Using the same method as Qu 1., write the following numbers in scientific notation :–
(a) 4800
(b)
6780
(c)
31 000
(d) 35 200
(e)
54 350
(f)
970 000
(g) 487 000
(h)
109 100
(i)
4 400 000.
Exercise 2
1.
2.
Using the “quick” method, write the following numbers in scientific notation :–
(a) 49 000
(b)
547 000
(c)
234 000
(d) 660
(e)
1 482
(f)
9 000
(g) 70 000
(h)
1 680 000
(i)
47 300 000.
You have learned that :-
3 million
= 3 000 000
=
3·0 x 10 6
1·27 million
= 1 270 000
=
1·27 x 10 6
Write out each of the following in full, then write each in scientific notation :–
(a) 7 million
=
7 000 000
=
7·0 x 10 ....
(b) 2·5 million
(c)
9·19 million
(d)
4 21 million
(e) 17 million
(f)
27 million
(g)
2·8 million
(h) 1·97 million
(i)
12 21 million
(j)
15 21 million
(k) 5·714 million
(l)
5 14 million
(m)
6 34 million.
this is Chapter Seven
page 13
SCIENTIFIC NOTATION
©TeeJay Publishers
3.
4.
Homework for Level F book
Ch 7 - Scientific Notation
This table gives the areas of various stretches of water throughout the world.
Write each of the areas in scientific notation.
Sea / Ocean
Area (km2 )
Pacific Ocean
Atlantic Ocean
Indian Ocean
Mediterranean
River Clyde
Loch Ness
English Channel
165 380 000
82 ·21 million
73·6 million
2 510 000
2 130
56
103 600
Nessie ?
A golf caddie earns £250 000 per annum.
Write his earnings in scientific notation.
5.
The population of Canada in May 2004 was
31 million and 629 thousand.
Write this number in scientific notation.
Exercise 3
1.
2.
Change each of the following from scientific notation to number form :(a)
3·8 x 104
(b)
7·5 x 102
(c)
3·24 x 105
(d)
6·47 x 103
(e)
1·478 x 104
(f)
3 x 101
(g)
9 x 106
(h)
2·9 x 106
(i)
6·014 x 104
(j)
7 x 107
(k)
5·37 x 107
(l)
8·888 x 108.
Player
Valuation
Figo
£1·525 x 107
Woodgate
£5·75 x 106
Novo
£8·755 x 105
Coyle
£3·285 x 104
McCracken
£1·004 x 102
this is Chapter Seven
This table shows the valuation of certain
football players as of June 2004.
Write out each of the valuations in full.
page 14
SCIENTIFIC NOTATION
©TeeJay Publishers
3.
Homework for Level F book
What large numbers are shown on the calculators below ?
(a)
9·2
5
(b)
8
3·47
On/Off
4.
Ch 7 - Scientific Notation
(c)
11
1·42
On/Off
On/Off
Write the amount, £1 billion :(a)
as a very large number in figures.
(b)
in scientific notation.
Exercise 4
1.
2.
3.
Write the following small numbers in scientific notation :–
(a)
0·003
(b)
0·000 074
(c)
0·0286
(d)
0·000 006
(e)
0·000 482
(f)
0·287
(g)
0·003 93
(h)
0·000 07.
Write the following numbers in full :–
(a)
5·1 x 10–2
(b)
3·6 x 10–4
(c)
2·74 x 10–3
(d)
5·06 x 10–5
(e)
3·2741 x 10–1
(f)
4 x 10–3
(g)
7 x 10–5
(h)
8·009 x 10–6.
A box of toffees weighs 5·81 x 10–2 kilograms.
Is this more or less than 58 grams ?
4.
What small numbers are shown on the calculators below ?
(a)
3·7
–2
(b)
7·09
On/Off
5.
(c)
–1
1·001
On/Off
On/Off
Write out in full :–
(a) 4·2 x 10–2
6.
–4
(b)
7·8 x 106
(b)
8·01 x 10–4
(d)
9·021 x 103.
(c)
0·000 39
(d)
21 500 000.
Write in scientific notation :–
(a) 0·003
this is Chapter Seven
(b)
5 470
page 15
SCIENTIFIC NOTATION
©TeeJay Publishers
Homework for Level F book
Ch 7 - Scientific Notation
Revision Exercise
1.
2.
Write the following numbers in scientific notation :–
(a) 400
(b)
8 000
(c)
16 500
(d) 5 million
(e)
1·89 million
(f)
3 14 million
(g) 70 000
(h)
1 680 000
(i)
47 300 000.
Change each of the following from scientific notation to number form :(a) 2·4 x 104
3.
4.
5.
€
(b)
6·2 x 102
(c)
7·361 x 105
(d)
9 x 107.
Write the amount TWO BILLION POUNDS :(a)
as a very large number in figures.
(b)
in scientific notation.
Write the following small numbers in scientific notation :–
(a) 0·05
(b)
0·000 092
(c)
0·0274
(d)
0·000 002
(e) 0·000 175
(f)
0·368
(g)
0·001 81
(h)
0·000 09.
Write the following numbers in full :–
(a) 3·9 x 10–2
(b)
2·1 x 10–4
(c)
4·97 x 10–3
(d)
7·02 x 10–5
(e) 3·2748 x 10–1
(f)
5 x 10–3
(g)
9 x 10–5
(h)
3·007 x 10–6.
this is Chapter Seven
page 16
SCIENTIFIC NOTATION