T.W.G.Hs Li Ka Shing College
Form 2 Mathematics
08 Laws of Integral indice
8.3 Scientific Notation
The distance between the earth and the sun: ~149000000000m
The diameter of a red blood cell: ~0.000008m.
A positive number x is in scientific notation if it is written in the form a  10n , where 1  a  10 and
n is an integer.
Eg. 34000 ➔ 3.4  104
;
− 0.0041 ➔ − 4.1  10−3
1. Which of the following is expressed in scientific notation?
□
□
1.3  109
2.5  10−10
□
□
23.3  107
□
□
0.872  105
− 7.43  1011
− 6.01  10−7
2. Fill in the blanks
(a) 149000000 = 1.4910(___)
(b) 50012.41 =5.00124110(___)
(c) 0.00351 = 3.5110(___)
(d) 0.0000351 = 3.5110(___)
3. Fill in the blanks
(a) 246000 = _________105
(b) 54200.4 =_________104
(c)
(d) 0.0000886 = _________10-5
0.00123 = _________10-3
4. Express the following numbers in scientific notation
(a) 88000
(b) 650000
(c) -26400
(d) 4902.3
(e) 0.00025
(f)
(g) -0.00372
(h) 0.126
0.04688
5. Express the following numbers as integers or decimals.
(a) 4.93  107
(b) − 3.69  10−4
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T.W.G.Hs Li Ka Shing College
Form 2 Mathematics
08 Laws of Integral indice
6. Express the followings number in scientific notation, and round off your answers to 3 significant
figures.
(a) 247500000 10−5
(b) 8264.5  106
(c) 0.0005298 10−4
(d) − 0.0075392 105
7. Without using a calculator, find the values of the following expressions, and express your asnwers in
scientific notation.
(a)
(4.25108)(810-5)
(c) 0.000000069-0.000000004
(b) 1350000000+680000000
(d)
486000000
0.000081
8. The total cost on health care in a city in a certain year was $1.71011. If the population of the city was
about 8.5 million, what was the average cost per person on health care in that year?
(Express your answer in scientific notation)
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