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  1.220.00104  0.001124.3389  24.34

8.694  8.7011.919  11.9289.9989  90.00

1. Round to two significant digits:

9.365  ______7.211  ______0.0333  ______

101.199  ______3.109  ______12.9956  ______

2.0954  ______2.095  ______2.0956  ______

19.9954  ______19.995  ______19.9956  ______

SCIENTIFIC NOTATION

Uses exponential notation

102 = 10 x 10 = 100103 = 10 x 10 x 10 = 1000101 = 10

EXAMPLES

1.2 x 102 = 1.2 x 100 = 12001.2 x 10-2 = 1.2 x 0.01 = 0.012

140 000 = 1.4 x 1050.0099 = 9.9 x 10-30.00000199 = 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 = ______