Unit 2 Day 1

Use Powers of 10 to Estimate Quantities

by Ms. Williams

Clear Target

I can estimate very large and very small quantities by rounding and then writing that number as a single digit times a power of 10.

​Here's the problem.....

​Keegan and Jeff did some research and found that there are approximately 7, 492, 000, 000, 000, 000, 000 grains of sand on Earth. Jeff says that it is about grains of sand. Keegan says that this is about grains of sand

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​With your SHOULDER PARTNER, discuss the following:

1. ​How might Jeff have determined his estimate? How might Keegan have determined his estimate?

2. ​Whose estimate, Jeff's or Keegan's is more logical? Explain

Poll

Let's vote!

Whose estimate, Jeff's or Keegan's, is more logical?

• Jeff

• Keegan

​Estimating Very Large Quantities

Janelle is comparing the estimated populations of Japan and China. The estimated population of Japan is 126, 818, 019. The estimated population of China is 12,402,941,487​. How can Janelle compare the two populations more easily?

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​Step 1: Estimate each population by rounding to the greatest place value.

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​Step 2: Then write the number as a single digit times a power of 10.

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​Step 3: Compare the estimated values.

​Estimating Very Large Quantities y'all try!

Light travels 299, 792, 458 meter per second. Sound travels at 332 meters per second. Use a power of 10 to compare the speed of light to the speed of sound.

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​Step 1: Estimate each population by rounding to the greatest place value.

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​Step 2: Then write the number as a single digit times a power of 10.

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​Step 3: Compare the estimated values.

​Estimating Very Small Quantities

Matthias used a laser to measure the average thickness of a human hair, 0.00017763 meter. A sheet of paper is about 0.0013 meter thick. How do the two thickness compare?

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​Step 1: Estimate each population by rounding to the greatest place value.

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​Step 2: Then write the number as a single digit times a power of 10.

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​Step 3: Compare the estimated values.

​Finding How Many Times as Much

How does the Gross Domestic Product (GDP) of Canada compare to that of the United States?

​Canada- $1, 785, 387, 000, 000, 000 USA- $17, 348, 075, 000, 000, 000

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​Step 1: Write each GDP as a single digit times a power of 10.

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​Step 2: Compare the two quantities

​Finding How Many Times as Much y'all try!

How does the Gross Domestic Product (GDP) of Canada compare to that of the United States?

​Canada- $1, 785, 387, 000, 000, 000 USA- $17, 348, 075, 000, 000, 000

​

​Step 1: Write each GDP as a single digit times a power of 10.

​

​Step 2: Compare the two quantities

Open Ended

When will you use powers of 10 to estimate a quantity?