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Calculating with Significant Figures Your team is only as strong as your weakest player (slowest runner)= Your final answer can not be more accurate than your least accurate measurement.
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Adding/Subtracting 1. Find your measurement with the least precision (least number of decimal places.) 2.Round your answer to that place. Ex1. 221.133 g + 42.11 g + 1.1211g = 264.3641 g
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Adding/Subtracting 1. Find your measurement with the least precision (least number of decimal places.) 2.Round your answer to that place. Ex1. 221.133 g + 42.11 g + 1.1211g = 264.3641 g final answer = 264.36 g
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Adding/Subtracting 1. Find your measurement with the least precision (least number of decimal places.) 2.Round your answer to that place. Ex2. 40cm -15.0cm - 5.56 cm = 19.44 cm
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Adding/Subtracting 1. Find your measurement with the least precision (least number of decimal places.) 2.Round your answer to that place. Ex2. 40cm -15.0cm - 5.56 cm = 19.44 cm final answer = 20 cm
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Problem 1 A student measured the length of his lab partners’ shoes. If the lengths are 28.0 cm, 23.538 cm, and 25.68 cm, what is the total length of the shoes?
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Problem 1 A student measured the length of his lab partner’s shoes. If the lengths are 28.0 cm, 23.538 cm, and 25.68 cm, what is the total length of the shoes? 28.0 cm 23.538 cm = 77.218 cm + 25.68 cm
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Problem 1 A student measured the length of his lab partners’ shoes. If the lengths are 28.0 cm, 23.538 cm, and 25.68 cm, what is the total length of the shoes? 28.0 cm 23.538 cm = 77.218 cm + 25.68 cm
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Problem 1 A student measured the length of his lab partners’ shoes. If the lengths are 28.0 cm, 23.538 cm, and 25.68 cm, what is the total length of the shoes? 28.0 cm 23.538 cm = 77.218 cm + 25.68 cm Final answer = 77.2 cm
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Multiplying/Dividing 1.Find your measurement with the least number of sig. figs. 2.Round your answer to that number of sig. figs. ex. 24 cm x 3.20 cm = 76.8 cm 2 2 sf 3sf
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Multiplying/Dividing 1.Find your measurement with the least number of sig. figs. 2.Round your answer to that number of sig. figs. ex. 24 cm x 3.20 cm = 76.8 cm 2 2 sf 3sf final answer = 77 cm 2 (2 sf)
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Problem 2 Calculate the volume of a book with the following dimensions: length= 28.3 cm, width = 22.2 cm, height = 3.65 cm
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Problem 2 Calculate the volume of a book with the following dimensions: length= 28.3 cm, width = 22.2 cm, height = 3.65 cm V= L x W x H = 28.3 cm x 22.2 cm x 3.65 cm = 2293.149 cm 3
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Problem 2 Calculate the volume of a book with the following dimensions: length= 28.3 cm, width = 22.2 cm, height = 3.65 cm V= L x W x H = 28.3 (3sf) cm x 22.2 (3sf) cm x 3.65 (3 sf) cm = 2293.149 (7 sf) cm 3
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Problem 2 Calculate the volume of a book with the following dimensions: length= 28.3 cm, width = 22.2 cm, height = 3.65 cm V= L x W x H = 28.3 (3sf) cm x 22.2 (3sf) cm x 3.65 (3 sf) cm = 2293.149 (7 sf) cm 3 Final answer = 2290 cm 3 (3 sf)
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