Metric System and Very Large/Small Numbers
Metric prefixes you should know:
Prefix
micro
milli
centi
deci
kilo
Mega
Giga
symbol
µ
m
c
d
k
M
G
Decimal Value
10-6
10-3
10-2
10-1
103
106
109
How many centimeters are in a meter?
How many millimeters are in a centimeter?
How many meters are in a kilometer?
5.53 m = ________cm
2.7mm = ________m
1583.4cm = ___________m
1583.4 cm = __________mm
Scientific Notation
To express either very large or small numbers, you write
them in scientific notation. The decimal point needs to
be moved so it is between the first and second digit. You
count the number of places you move the decimal point.
If the number is bigger than 1 the exponent is positive. If
the number is less than one ,the exponent is negative.
Examples:
5346000 = 5.346 X 106
0.000000821 = 8.21 X 10-7
Try these:
12.53 =
0.00326 =
13740000000 =
0.000000000098 =
537 =
0.0000456 =
Now try to convert scientific notation to a number.
1.23 X 103 =
5.29 X 10-5 =
3.74 X 106=
1.74 X 10-9 =