Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Rules for rounding to proper significant figures
Addition and Subtraction
1. Add and or subtract numbers as usual.
2. Round the answer to the least number of decimal
places in the numbers in the problem.
Multiplication and Division
1. Multiply or divide numbers as usual.
2. Round the answer to the least number of significant
figures in the numbers in the problem.
I) Adding and subtracting: evaluate the following problems and use the rliles to round your answer:
3)
658.0
246.24
238.278
1)
32.567
2)
135.00
23.5478
1.4567
98.3
1325.29
169.01
II) Multiplying and dividing: evaluate the following problems and use the rules to round your answer:
1) 23.7 x 3.8 = 90.06
3) 81.04 + 0.010 =
2) 25.76 x 0.25 =
III) Complete the the following problems and round your answer to the proper significant figures:
1) 6.201 cm + 7.4 cm + 0.68 cm =
6) 1.31 cm x 2.3 cm =
7) 5.7621 m x 6.201 m =
2) 1.6 km + 1.62 km + 2.3 km =
8) 20.3 cm + 7.41 cm =
3) 8.264 g - 7.8 g =
9) 40.002 g + 13.0005 g =
4) 10.4168 m - 6.0 m =
10) 150,000.0 m ÷ 5000.01 m =
5) 12.00 kg + 15.001 kg =
IV) Complete the following problems: (Hint: density = mass ÷ volume)
1) A student calculates the density of an unknown solid. The mass is 10.04 grams, and the volume is 8.210 cubic
centimeters. How many significant figures should appear in the final answer?
2) A sodium sample has a mass of 80.01 g and a density of 0.970 g/cm³. According to the data, to what number of
significant figures should the calculated volume of the sodium sample be expressed?
Page
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Transcribed Image Text:Rules for rounding to proper significant figures Addition and Subtraction 1. Add and or subtract numbers as usual. 2. Round the answer to the least number of decimal places in the numbers in the problem. Multiplication and Division 1. Multiply or divide numbers as usual. 2. Round the answer to the least number of significant figures in the numbers in the problem. I) Adding and subtracting: evaluate the following problems and use the rliles to round your answer: 3) 658.0 246.24 238.278 1) 32.567 2) 135.00 23.5478 1.4567 98.3 1325.29 169.01 II) Multiplying and dividing: evaluate the following problems and use the rules to round your answer: 1) 23.7 x 3.8 = 90.06 3) 81.04 + 0.010 = 2) 25.76 x 0.25 = III) Complete the the following problems and round your answer to the proper significant figures: 1) 6.201 cm + 7.4 cm + 0.68 cm = 6) 1.31 cm x 2.3 cm = 7) 5.7621 m x 6.201 m = 2) 1.6 km + 1.62 km + 2.3 km = 8) 20.3 cm + 7.41 cm = 3) 8.264 g - 7.8 g = 9) 40.002 g + 13.0005 g = 4) 10.4168 m - 6.0 m = 10) 150,000.0 m ÷ 5000.01 m = 5) 12.00 kg + 15.001 kg = IV) Complete the following problems: (Hint: density = mass ÷ volume) 1) A student calculates the density of an unknown solid. The mass is 10.04 grams, and the volume is 8.210 cubic centimeters. How many significant figures should appear in the final answer? 2) A sodium sample has a mass of 80.01 g and a density of 0.970 g/cm³. According to the data, to what number of significant figures should the calculated volume of the sodium sample be expressed? Page
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