Significant
Figures Worksheet
Name __________________________________
Block ________________
1) Warm up with a couple of metric
conversions. Be sure to write the
prefixes given below onto a 3 x 5 card, and how each sets the decimal point in
the metric system.
|
Kilo |
Hecto |
Deca |
Base Unit |
deci |
centi |
milli |
micro |
nano |
|
103 |
102 |
101 |
100 |
10-1 |
10-2 |
10-3 |
10-6 |
10-9 |
Convert
the following measurements, write your answer in decimal notation or scientific
notation.
|
Measurement |
Conversion (Standard
Notation) |
Conversion
(Scientific
Notation) |
|
155
cm |
1,550,000,000 nm |
1.55 x 109
nm |
|
155
cm |
.00155 Km |
1.55 x 10-3 Km |
|
2.77
x 10-7 kg |
.277mg |
2.77 x 10-1 mg |
|
867 x
104 µL |
867 cl |
8.67 x 102
cl |
|
.000876
Ks |
8.76 ds |
8.76 x 100
ds |
2) Estimate the number of significant figures in each of the
following measurements. Write the measurement using Scientific Notation.
Example:
1025 m
4 significant figures 1.025
x 103
|
Measurement |
How
many significant figures? |
Measurement
in Scientific Notation |
|
A)
10046 m |
5 |
1.0046 x 104
m |
|
B)
500 m |
1 |
5 x 102 m |
|
C)
500. m |
3 |
5.00 x 102
m |
|
D)
510 m |
2 |
5.1 x 102
m |
|
E)
.0500 m |
3 |
5.00 x 10-2
m |
|
F)
10.06 m |
4 |
1.006 x 101
m |
|
G)
10.0060 m |
6 |
1.00060 x 101
m |
|
H)
.005607 m |
4 |
5.607 x 10-3
m |
|
I)
12,000 m |
2 |
1.2 x 104 m |
3) Round each of the measurements off to 3
significant figures. Write your answer in decimal notation and scientific
notation.
|
Measurement |
Decimal
Notation |
Scientific
Notation |
|
A)
7534 liters |
|
|
|
B)
.002346 mL |
|
|
|
C)
16.18 cm |
|
|
|
D)
1504 mL |
|
|