Scientific Notation Worksheet
Convert the following numbers into scientific notation:
1)
3,400 _______________________________
2)
0.000023 _______________________________
3)
101,000 _______________________________
4)
0.010 _______________________________
5)
45.01 _______________________________
6)
1,000,000 _______________________________
7)
0.00671 _______________________________
8)
4.50 _______________________________
Convert the following numbers into standard notation:
9)
2.30 x 104 _______________________________
10)
1.76 x 10-3 _______________________________
11)
1.901 x 10-7 _______________________________
12)
8.65 x 10-1 _______________________________
13)
9.11 x 103 _______________________________
14)
5.40 x 101 _______________________________
15)
1.76 x 100 _______________________________
16)
7.4 x 10-5 _______________________________
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Name; _____________________________________ Date: ____________ Per: _____
Distances are so great in space that a special unit of measurement is used. It is called a
light-year. This sounds like a measurement of time, but it is a unit used to measure
distance. By definition a light-year is the distance that light travels in one year. To
calculate the distance of one light-year, you determine the number of seconds in a year
and then multiply that number by the speed of light. Light is the fastest thing we know
of, as it travels at an incredible 186,000 miles (300,000 kilometers) per second.
Your job is to calculate the value of one light-year.
Calculate the number of seconds in one year.
Calculate the number of kilometers, in a light-year by multiplying the number of
seconds in a year by 300,000 km.
Now that you know how kilometers are in a light-year, determine the distance of these
objects (round light-year to nearest trillion).
1. The closest star to Earth other than the sun is 4.3 light-years away.
2. The Andromeda galaxy is 2.2 million light-years away from Earth.
3. The diameter of the Milky Way galaxy is 100,000 light-years.
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© 2003 Cavalcade Publishing – All Rights Reserved
Convert distances from AU to km & write radii in scientific notation.
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© 2003 Cavalcade Publishing – All Rights Reserved
Scientific Notation Worksheet - Solutions
Convert the following numbers into scientific notation:
1)
3,400
3.4 x 103
2)
0.000023
2.3 x 10-5
3)
101,000
1.01 x 105
4)
0.010
1.0 x 10-2
5)
45.01
4.501 x 101
6)
1,000,000
1 x 106
7)
0.00671
6.71 x 10-3
8)
4.50
4.50 x 100
Convert the following numbers into standard notation:
9)
2.30 x 104
23,000
10)
1.76 x 10-3
0.00176
11)
1.901 x 10-7 0.0000001901
12)
8.65 x 10-1
0.865
13)
9.11 x 103
9,110
14)
5.40 x 101
54.0
15)
1.76 x 100
1.76
16)
7.4 x 10-5
0.000074
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© 2003 Cavalcade Publishing – All Rights Reserved