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Mastering Significant Digits: Key Rules for Accurate Calculations

Learn essential rules for addition, subtraction, multiplication, and division using significant digits. Ensure precision by aligning decimal places and total numbers. Apply these guidelines to solve complex mathematical problems effectively.

colleen-anthony
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Mastering Significant Digits: Key Rules for Accurate Calculations

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  1. Significant Digits Calculations

  2. Rules for Addition and Subtraction • When you _____________or _____________measurements, your answer must have the same number of _____________as the one with the fewest • For example: 20.4 + 1.322 + 83

  3. 1.23056 + 67.809 = 23.67 – 500 = 40.08 + 32.064 = 22.9898 + 35.453 = 95.00 – 75.00 = _____________ _____________ _____________ _____________ _____________ Addition & Subtraction Problems

  4. Rules for Multiplication & Division • When you _____________ and _____________ numbers you look at the TOTAL number of _____________NOT just decimal places • For example: 67.50 x 2.54

  5. 890.15 x 12.3 = 88.132 / 22.500 = (48.12)(2.95) = 58.30 / 16.48 = 307.15 / 10.08 = _____________ _____________ _____________ _____________ _____________ Multiplication & Division Problems

  6. 18.36 g / 14.20 cm3 105.40 °C –23.20 °C 324.5 mi / 5.5 hr 21.8 °C + 204.2 °C 460 m / 5 sec _____________ _____________ _____________ _____________ _____________ More Significant Digit Problems

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