The following document is a teaching resource available at www.MorrowGalpern.ca © Paul Galpern, 2003 paul.galpern@utoronto.ca Saved in Microsoft Word 2000 format. BEWARE! If you do not have this software or a later version on your computer, many of the layout features (tables and graphics) will not appear as intended. Like all teaching resources it is a work in progress. Permission is granted to use, alter and reproduce this resource for your own classroom. For publication, please contact the author for permission. I’d love to hear what you think about this resource. Please drop me a line through my website: www.morrowgalpern.ca/contact/index.htm 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 = ____________ = ____________