Handout 1 Math Review and Dimensional Analysis

Handout 1 Math Review and Dimensional Analysis - Lecture 1...

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Lecture 1 – Math Review, Metric System, and Dimensional Analysis I Significant Figures 1. All non-zero digits are significant: 6789 (4) 1 (1) 6,988 (4) 17 (2) 8.98796 (6) 2. Zeros between non-zero digits are significant: 8,908.89 (6) 109 (3) 100000001 (9) 7.900076 (7) 3. All zeros in front are non-significant: 0.0007608 (4) .00973 (3) .01 (1) 0.01 (1) 0.00000001 (1) 4. Zeros at the end are significant only when the number has a decimal point: 170 (2) 0.000010 (2) 1,000 (1) 1,000,000 (1) 1,000,000.00 (9) 0.90 (2) 1.98090 (6) 18.9070 (6) 100 (1) 0.050 (2) 0.00500 (3) 5. Scientific notation: all numbers in front of the multiplication sign are significant: 1.09x10 -9 (3) 1.0x10 1 (2) 1.00000x10 -19 (6) 7.906x10 -27 (4) 6. Addition and subtraction: keep the least number of decimal places (decimal places in bold): 17 – 2. 5 = 14.5 = 15 1000. 00 – 972. 301 = 27.699 = 27. 70 1 + 0. 00003 = 1.00003 = 1 98. 768 + 17. 25 = 116.018 = 116. 02 789. 98 + 1. 007 – 0. 00003 = 790.98697 = 790. 99 5. 38 + 1,000 + 19. 789 = 1,025.169 = 1,025 17 + 4 = 21 = 21 7. Multiplication and division:
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This note was uploaded on 07/06/2010 for the course CS 116 taught by Professor Koutsogiannakis during the Spring '08 term at Illinois Tech.

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Handout 1 Math Review and Dimensional Analysis - Lecture 1...

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