Scientific notation lab-2
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Citrus College *
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121
Subject
Mathematics
Date
Apr 3, 2024
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3
Uploaded by arielrose892
Scientific Notation, the Metric System, and Conversions
Scientific Notation
1) Write the following numbers in scientific notation.
2,000 = 2 x 10
3
150 = 1.5 x 10
2
400,000 = 4 x 10
5
9,000,000 = 9 x 10
6
0.0017 = 1.7 x 10
-3
0.03 = 3 x 10
-2
0.0000005 = 5 x 10
-7
0.00250 = 2.50 x 10
-3
2) Write out the following numbers in normal notation.
2.00 x 10
5
= 200,000
4.59 x 10
6
= 4,560,000
3.21 x 10
4
= 32,100
4.32 x 10
-5
= 0.0000432
7.86 x 10
-2
= 0.0786
6.50 x 10
-1
= 0.650
The Metric System
3) Complete the following equations involving metric system prefixes:
100 cm = 1 meter
1,000 mm = 1 meter
1e+9 nm = 1 meter
1,000m = 1 km
1,000 mg = 1 gram
1,000,000,000 year = 1 Gyr
1,000,000 lightyear = 1 Mlyr
1,000,000 micrometer = 1 meter
100,000 cm = 1 km
1,000 millisecond = 1 second
4) Arrange these distances in order from shortest to longest.
1 meter, 1 kilometer, 1 millimeter, 1 centimeter
millimeter, centimeter, meter, kilometer
5) How many meters are in 350 centimeters?
How many centimeters are in 350 meters?
SHOW YOUR WORK!
350/100= 3.5 meters
350 x 100= 35,000 centimeters
Converting Between Units
6) Convert each measurement below to the units given.
SHOW YOUR WORK!
Useful conversions:
1 inch (in) = 2.54 centimeter (cm)
1 foot (ft) = 12 inches (in)
1 mile = 5280 feet
1 mile = 1.609 kilometers (km)
a) 87 centimeters into inches
87 cm x 1in/2.54 cm
87 x 1/2.54 = 34.252 in
b) 34 inches into feet
34 in x 1 ft/12 in
34 x 1/12 = 2.833 ft
c) 7 miles into inches
7 miles x 5280 ft/1 m
7 x 5280 = 36,960 ft
36,960 ft x 12 in/1 ft
36960 x 12= 443,520 in
d) 7 miles into kilometers
7 mile x 1.609/1 mile
7 x 1.609= 11.263 kilometers
e) 7 miles into meters
7 miles x 1609.34 meters/1 mile
7 x 1609.34= 11,265.38 meters
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