Significant Digits & Scientific Notation

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Science, Gr. 9
Characteristics of Electricity – Significant Digits & Scientific Notation
Significant Digits & Scientific Notation Worksheet
ROUNDING TO TWO SIGNIFICANT DIGITS
There should be two numbers to the right of the decimal place that are “significant”. Numbers are significant if they are
NOT zeroes that immediately follow the decimal. Round up or down as necessary.
EXAMPLES
1.212  1.22
8.694  8.70
0.00104  0.0011
11.919  11.92
24.3389  24.34
89.9989  90.00
1. Round to two significant digits:

___________
7.211

___________
0.0333 
___________
101.199 
___________
3.109

___________
12.9956 
___________
2.0954 
___________
2.095

___________
2.0956 
___________
19.9954 
___________
19.995 
___________
19.9956 
___________
9.365
SCIENTIFIC NOTATION
Uses exponential notation
102 = 10 x 10 = 100
103 = 10 x 10 x 10 = 1000
10-2 =
10-3 =
1
10 x 10
=
1 = 0.01
100
EXAMPLES
1.2 x 102 = 1.2 x 100 = 1200
140 000 = 1.4 x 105
1
10 x 10 x10
=
101 = 10
1 = 0.001
1000
1.2 x 10-2 = 1.2 x 0.01 = 0.012
0.0099 = 9.9 x 10-3
10-1 = 1 = 0.1
10
0.00000199 = 2.00 x 10-6
2. Convert from scientific notation
9.9 x 103 = ____________
7.22 x 101 = ____________
1.14x 10-1 = ______________
1.01x 10-2 = ____________
8.78 x 10-3 = ____________
4.1 x 106 = ______________
2.1 x 104 = ____________
1.89 x 10-4 = ____________
7.642x 108 = _____________
3. Convert to scientific notation. Round if necessary to two significant digits.
1 100 000 = ____________
2 100
= ____________
0.021
749.3
12 094.9
= ____________
0.00018544 = ____________
= ____________
0.0000799 = ____________
22 999 999 = ____________
0.12232
= ____________
= ____________
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