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©TeeJay Publishers Homework for Level F book Ch 7 - Scientific Notation
this is Chapter Seven page 13 SCIENTIFIC NOTATION
Exercise 1
1. Copy and complete the following :–
39 000 = 3900 x 10 = 390 x .... x .... = 39 x .... x .... x ....
= 3·9 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. 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.
2. 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
€
12 million
(e) 17 million (f) 27 million (g) 2·8 million
(h) 1·97 million (i) 12
€
12 million (j) 15
€
12 million
(k) 5·714 million (l) 5
€
14 million (m) 6
€
34 million.
Chapter 7 ScientificNotation
©TeeJay Publishers Homework for Level F book Ch 7 - Scientific Notation
this is Chapter Seven page 14 SCIENTIFIC NOTATION
3. This table gives the areas of various stretches of water throughout the world.Write each of the areas in scientific notation.
4. 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. 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.
2. This table shows the valuation of certain football players as of June 2004.
Write out each of the valuations in full.
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
Sea / Ocean Area (km2)
Pacific Ocean 165 380 000 Atlantic Ocean 82 ·21 million Indian Ocean 73·6 million Mediterranean 2 510 000
River Clyde 2 130Loch Ness 56
English Channel 103 600Nessie ?
©TeeJay Publishers Homework for Level F book Ch 7 - Scientific Notation
this is Chapter Seven page 15 SCIENTIFIC NOTATION
3. What large numbers are shown on the calculators below ?
(a) (b) (c)
4. Write the amount, £1 billion :-
(a) as a very large number in figures.
(b) in scientific notation.
Exercise 4
1. 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.
2. 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.
3. 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) (b) (c)
5. Write out in full :–
(a) 4·2 x 10–2 (b) 7·8 x 106 (b) 8·01 x 10–4 (d) 9·021 x 103.
6. Write in scientific notation :–
(a) 0·003 (b) 5 470 (c) 0·000 39 (d) 21 500 000.
On/Off On/Off On/Off
9·2 5 3·47 8 1·42 11
On/Off On/Off On/Off
3·7 – 2 7·09 – 4 1·001 – 1
©TeeJay Publishers Homework for Level F book Ch 7 - Scientific Notation
this is Chapter Seven page 16 SCIENTIFIC NOTATION
Revision Exercise
1. 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.
2. Change each of the following from scientific notation to number form :-
(a) 2·4 x 104 (b) 6·2 x 102 (c) 7·361 x 105 (d) 9 x 107.
3. Write the amount TWO BILLION POUNDS :-
(a) as a very large number in figures.
(b) in scientific notation.
4. 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.
5. 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.
