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Welcome to Physical Science!
Do Now: Simplify the two expressions below. Write your answers in both scientific notation format and regular format.
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Accuracy vs Precision I need a volunteer….
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Accuracy vs Precision Accuracy: Precision:
A description of how close a measurement is to the true value of the quantity measured Precision: The exactness of a measurement
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Here are two groups’ measurements. Who was more precise
Here are two groups’ measurements. Who was more precise? Justify your answer.
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Fun Fact
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Why Accuracy and Precision?
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“Significant Figures”
Significant Figures: A prescribed decimal place that determines the amount of rounding off to be done based on the precision of the measurement
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Estimate this: 𝐶𝑒𝑛𝑡𝑖𝑚𝑒𝑡𝑒𝑟𝑠
When using significant figures, you can estimate to 1 decimal place (1/10th) of the smallest given unit.
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Estimate this:
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But why? Significant figures indicate the degree of accuracy -- the minimum amount by which a quantity is distinguished to be different from a similar amount. For example, one might say a car costs $12,000. that implies that it costs more than $11,000 and less than $13,000.
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But why? Significant figures tell us how to round, but they also make sure that the answer we get from a math problem is not more precise than the numbers that we started with. Calculate the volume of a room that is m high, 4.25 m wide, an 5.75 m long.
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If given a measurement…
What numbers are significant. There are 5 rules:
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Practice: Determine the number of significant figures in each
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Practice: Determine the number of significant figures in each measurement:
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Calculations using Significant Figures
When Multiplying and Dividing: Limit and round to the least number of significant figures in any of the factors
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Calculations using Significant Figures
When Adding and Subtracting: Limit and round to the least number of decimal places in any number that make up your answer.
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Practice Perform the following operations expressing the answer in the correct number of significant figures.
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Make your own Measurement System
Can you come up with your own unique measurement system. Pick 4 objects, and come up with conversions from smallest to biggest. Use these conversions to create 8 different conversion problems, and their solutions.
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