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Published byLawrence Andrews Modified over 9 years ago
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A.S. 1.1.4 – 1.1.5
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How many plain M&M’s would it take to fill a bowl like the one on the front counter? ▪ Estimate your answer, and explain HOW you reached your estimation.
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NO CALCULATORS! Estimate the answer to the following: Work with your group—come up with one answer that you write on your group whiteboard.
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What is the approximate circumference of the Earth? Use what you know in order to estimate an answer! NO calculators! Image from: http://www.spacetoday.org/Satellites/ TerraAqua/TerraStory.html http://www.spacetoday.org/Satellites/ TerraAqua/TerraStory.html
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Always written as a whole number power of ten (i.e. There are ~10 6 people living in the Seattle area) The OM is the power of ten that is “closest” to the value you are estimating OM values are not very precise! They are an ESTIMATE! But they DO give us a general idea about the magnitude (size) of a value
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If an approximate (or known) value can be determined, an Order of Magnitude can be calculated OM values are only used to determine rough estimates But HOW?? Let’s use the following example…
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According to the Census Bureau, the population of Washington in 2011 was 6,830,080 people. The population growth rate between 2010 and 2011 was +1.6%/year Based on this information, what, approximately, is the state’s population right now?
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Step 1: Assumptions? Step 2: If those assumptions are accurate, determine the population (2011 population + 1.6% = 2012 population…it’s now 2014) Step 3: can we consider this an exact number?
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Step 1: Step 2: round z to nearest whole number Step 3: So… z = log(7,050,391) = 6.848 7 OM = 10 7 people in the state of WA
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For example, How much larger than the population of Washington (state) is the US population? The World’s population? Use the 2012 population of WA (6.897 million people) and the information from THIS WEBSITE to determine this answer.THIS WEBSITE
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WA Population: OM = ? World population: OM = ? The population of the world is approximately 10 3 times larger than the population of WA
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