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Significant Figures

Significant Figures. Practice. Significant Figures. 1. Verify that each of the following numbers contains four significant figures. Write the digits that are significant. a ) 0.00004182 b ) 494,100,000 c ) 32,010,000,000 d ) 0.00003002. Significant Figures.

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Significant Figures

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  1. Significant Figures Practice

  2. Significant Figures • 1. Verify that each of the following numbers contains four significant figures. Write the digits that are significant. a) 0.00004182 b) 494,100,000 c) 32,010,000,000 d) 0.00003002

  3. Significant Figures • 2. How many significant figures are in each of the following numbers? _____ a) 0.000015045 _____ b) 4,600,000 _____ c) 2406 _____ d) 0.000005 _____ e) 0.0300001 _____ f) 12,000

  4. Significant Figures 3. Verify that each of the following numbers contains five significant figures. Write the digits that are significant. a) 0.00030200 b) 200.00 c) 2300.0 d) 0.000032000

  5. Significant Figures 4. How many significant figures are there in each of the following numbers? _____ a) 0.000201000 _____ b) 23,001,000 _____ c) 0.0300 _____ d) 24,000,410 _____ e) 2400.100 _____ f) 0.000021

  6. Rounding with Significant Figures • The following numbers were rounded to “four” significant figures. 42,008,000 becomes 42,010,000 12,562,425,217 becomes 12,560,000,000 0.00017837901 becomes 0.0001784 120 Becomes 120.0

  7. Rounding with Significant Figures • 5. Round the following numbers so that they contain 3 significant figures. a) 173,792 _____________ b) 0.0025021 _____________ c) 0.0003192 _____________ d) 30 _____________

  8. Rounding with Significant Figures 6. Round the following numbers so that they contain 4 significant figures. a) 249,441 _____________ b) 0.00250122 _____________ c) 12,049,002 _____________ d) 0.00200210 _____________

  9. Multiplying & Dividing with Significant Figures When you divide 456 by 13 you get 35.0769230769… How should we round such a number? When multiplying and dividing numbers, you need to round your answers to the correct number of significant figures. To round correctly, follow these simple steps: 1) Count the number of significant figures in each number. 2) Round your answer to the least number of significant figures.

  10. Multiplying & Dividing with Significant Figures Here’s an example: 4560 (3 sig. fig.) = 325.714285714=330 (2 sig. fig.) 14 (2 sig. fig.) Another example: 13.1 (3 sig. fig.) X 1.2039 (5 sig. fig.) = 15.77109 = 15.8 (3 sig. fig.)

  11. Multiplying & Dividing with Significant Figures 7. How many significant figures? a) (310.0)(12) = _________________ b) 129.6/3 = __________________ c) (125)(1.4452) = _______________ d) 6000/2.53 = ________________

  12. Significant Figures Rules 1. Nonzero numbers are (always/never) significant. 2. Zeroes "captured" between two other significant digits are (always/never) significant. 3. Leading zeroes are (always/never) significant 4. Any final zero or zeroes used after the decimal point (are/are not) significant. 5. Placeholder zeroes (are/are not) significant. 6. Underlined zeroes (are/are not) significant. 7. When adding or subtracting, round the answer to the (greatest/least) number of (decimal places/significant figures). 8. When multiplying and dividing, round the answer to the (greatest/least) number of (decimal places/significant figures).

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