Significant Figure Calculations - Weebly

Significant Figure Calculations

Solve the following mathematical problems such that the answers have the correct number of significant figures: 1) 334.540 grams + 198.9916 grams = ___________________

2) 34 grams / 10.1 mL = ___________________ 3) 2.61 x 106 joules / 0.0034 seconds = ___________________

4) 0.0610 m ? 0.18 m = ___________________

5) 349.0 cm + 1.10 cm + 100. cm = ___________________

6) 252 meters / 910 seconds = ___________________

7) 248.01010 kilograms + 84.097 kilograms = ___________________

8) 44 m/s x 20 s = ___________________



? 2008 Cavalcade Publishing; All Rights reserved

Significant Figure Calculations ? Answers

Solve the following mathematical problems such that the answers have the correct number of significant figures:

1) 334.540 grams + 198.9916 grams = 533.532 g (rounded from 533.5316 g)

334.540 grams + 198.9916 grams

533.5316 g 533.532 g

Addition and subtraction rule- round to least significant number ? which is the one farthest to the left. (+ or - = Position Rule)

2) 34 grams / 10.1 mL = 3.4 g/mL (rounded from 3.366 g/mL) Multiplication or division rule is round to least # of digits. (X or / = least # of digits)

3) 2.61 x 106 joules / 0.0034 seconds = 7.7 X 10 8 J/s (rounded from 7.676 x 108 J/s)

4) 0.0610 m ? 0.18 m = -0.12 m (rounded from -0.119 m)

0.0610 m ? 0.18?? m ? 0.119 ? 0.12 m

Addition and subtraction rule- round to least significant number ? which is the one farthest to the left. (+ or - = Position Rule)

5) 349.0 cm + 1.10 cm + 100. cm = 450. cm (rounded from 450.1 cm)

349.0 cm 1.10 cm

+100. Cm 450.1 cm 450. cm or 4.50 X 10 2 cm

(Either uses decimal next to zero or scientific notation to show significant figures)

6) 252 meters / 910 seconds = 0.28 m/s (rounded from 0.2769 m/s)

7) 248.01010 kilograms + 84.097 kilograms = 332.107 kg (rounded from 332.1071 kg)

8) 44 m/s x 20 s = 900 m (rounded from 880 m) ( No decimal so best to assume 1 SF)



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