Phys11 Scientific Notation:
Examples :
Convert from decimal notation to scientific
notation to the correct number of sig figs.
71000 = 7.1x10 4
0.00180 = 1.80x10 - 3
Use scientific notation to express the measurement 1000 to a precision of 1
sig fig, 2 sig figs, 3 sig figs, and 4 sig figs
Problems :
1) Express in scientific notation to the correct number of sig-figs (3).
a) 186 000 000 b) 246.7x10 4
d) 3 694.56
c) 0.000 032
e) 0.00234x10 5 f) 612.3x10 - 7
2) Express in decimal notation
a) 7x10 8
b) 3.80x10 4
c) 0.00987x10 - 2
d) 0.0086x10 5
e) 4730x10 - 3
f) 930x10 2
3) Express the answer in Scientific Notation to the correct number (3)
o f significant figures.
a) 2.047x10 8 + 14.33x10 8 =
b) 42.003x10 5 - 3.25x103 =
c) 3.42x10 8 x 2.14x10 -3 =
d) 143.7 x 84.7x1016 =
e) 12.45x10 6 ÷ 2.24x10 3
f) 822 ÷ 0.028
g)
0.0000425
[ 0.0008137 + 2.65x10 -5 ]
h) [ 14.39 + 2.43x10 1 ]
[ 1.35x10 -2][4.935x10 4]
4) City A has a population of 2.53x106 people while City B has a
population of 8.9x10 5 . What is the difference between the two
populations ?
5) The Earth has a mass of 5.980x1024 kg and mass of Mars is
6.37x10 23 kg.
a) Give the difference between the two masses.
b) How many times more massive is Earth than Mars ?