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.

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Presentation transcript:

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.

Adding/Subtracting 1. Find your measurement with the least precision (least number of decimal places.) 2.Round your answer to that place. Ex g g g = g

Adding/Subtracting 1. Find your measurement with the least precision (least number of decimal places.) 2.Round your answer to that place. Ex g g g = g final answer = g

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 cm = cm

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 cm = cm final answer = 20 cm

Problem 1 A student measured the length of his lab partners’ shoes. If the lengths are 28.0 cm, cm, and cm, what is the total length of the shoes?

Problem 1 A student measured the length of his lab partner’s shoes. If the lengths are 28.0 cm, cm, and cm, what is the total length of the shoes? 28.0 cm cm = cm cm

Problem 1 A student measured the length of his lab partners’ shoes. If the lengths are 28.0 cm, cm, and cm, what is the total length of the shoes? 28.0 cm cm = cm cm

Problem 1 A student measured the length of his lab partners’ shoes. If the lengths are 28.0 cm, cm, and cm, what is the total length of the shoes? 28.0 cm cm = cm cm Final answer = 77.2 cm

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

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)

Problem 2 Calculate the volume of a book with the following dimensions: length= 28.3 cm, width = 22.2 cm, height = 3.65 cm

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 = cm 3

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 = (7 sf) cm 3

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 = (7 sf) cm 3 Final answer = 2290 cm 3 (3 sf)