Scientific Notation and significant digits
Name:
Physical Science
Date:
Period:
Convert the following numbers into scientific notation, do NOT use the ‘E’ as shown on your
calculator, write what it actually means. Express to the correct number of significant digits as
shown in the original value.
1)
2)
3)
4)
7.926x108
1,050,000,000,000
1.05x1012
4,050,000
4.05x106
-7
0.000000233 2.33x10
792,600,000
5)
6)
7)
8)
9.00x10-5
0.00000045
4.5x10-7
2
100.0 1.00x10
23.5
23.5x101
0.0000900
Convert the following to standard numerals.
9)
9.5  10  4
10) 8.98  10 7
11) 4  10 5
12) 7.032  10  3
0.00095
89,800,000
400,000
0.007032
13) 8  10  6
14) 1.07 10 4
15) 2.574 x 101
16) 5.78 x 10-1
0.000008
10,700
25.74
0.578
List the number of significant figures in the following:
17) 43.201
18) 0.00210
19) 1.0030
20) 3.45 x 103
5
3
5
3
21) 1.00 x 10-06
22) 0.00005
23) 40
24) 120,000,000
3
1
1
2
Express the following numbers to exactly three (3) significant figures (you might have to use
scientific notation)
28.0 or 2.80x101
5.789012
5.79
25) 28
29) 7,500,000
26)
30) 1,997
27) 0.0004
28) 2,000
0.000400 or 4.00x10-4
2.00x103
31) 2
32) 0.0053
7.50x106
2.00x103
2.00
5.30x10-3 or 0.00530
Enter the following into your calculator and express the answer to the following problems to the
correct number of significant digits
Calculator Answer:
Answer with correct sig. fig.
2
33)
189.15 or 1.8915x10
190 or 1.9x102
34) (
203.04 or 2.0304x102
3,029.46 or 3.02946x103
)
35)
36)
37)
38)
17.14478261 or 1.714478261x101
2.519455253
0.94333333 or 9.4333333x10-1
2.0x102
3,000 or 3x103
17 or 1.7x101
2.52
0.94 or 9.4x10-1
Perform the following operations, expressing on your calculator using the scientific notaion
function of your calculator, write out the answer from the calculator as well the answer in
scientific notation expressed to the correct number of significant figures
Calculator Answer:
Ans in Sci. Not with sig figs:
1.638x1022
10
40) 2105 · 6.81014= 1.36x10
41) 6.071022 · 3.0108=
1.821x1031
42) 4.44104 · 6.5108=
2.886x10-11
-3
43) 51011 · 3.5107=0.00175 or 1.75x10
3
44) 8.8106 ÷ 4.0103= 2,200 or 2.2x10
-22
45) 2.21018 1.406104=1.56472262x10
4
46) 2.87105 8.21010=35,000 or 3.5x10
18
47) 3.90091017 7.20010-2=5.417916667x10
39) 7.8109·2.11012=
48) 1.98109 5.51010= 0.036
or 3.6x10-2
1.638x1022
1x1010
1.8x1031
2.9x10-11
2x10-3
2.2x103
1.6x10-22
3.5x104
5.418x1018
3.6x10-2