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Lesson 13

Lesson 13: Applications with Numbers in Scientific Notation

Classwork

Exercise 1

The mass of the moon is about 7.3 × 1022 kg. It would take approximately 26,000,000 moons to equal the mass of the sun. Determine the mass of the sun.

Exercise 2

The mass of Earth is 5.9 × 1024 kg. The mass of Pluto is 13,000,000,000,000,000,000,000 kg. Compared to Pluto, how much greater is Earth’s mass?

Exercise 3

Using the information in Exercises 1 and 2, find the combined mass of the moon, Earth, and Pluto.

Exercise 4

How many combined moon, Earth, and Pluto masses (i.e., the answer to Exercise 3) are needed to equal the mass of the sun (i.e., the answer to Exercise 1)?

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Exercise 5

The speed of light is 300,000,000 meters per second. The sun is approximately 1.5 × 1011 meters from Earth. How many seconds does it take for sunlight to reach Earth?

Exercise 6

The Guadalupe River is 2.56 x 102 miles long. The Amazon River is 4.096 x 103 miles long. How many times longer is the Amazon River than the Guadalupe River? Exercise 7

Madison College has approximately 4 x 104 students and Savoy College has approximately 2,000 students. How many times as much is the number of students at Madison College as the number of students at Savoy College? Exercise 8

Molly moved from NYC to a small town upstate. The population of NYC is 8 x 106, which is 12 times as great as the small town. Which expression could represent the approximate population of the small town?

a.) 6.7 x 106 b.) 6.7 x 105 c.) 9.6 x 107 d.) 9.6 x 106

*Be careful*

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Supplemental Practice

1. Determine whether 1.2 x 105 or 1.2 x 106 is closer to one million. Explain.

2. What number (written in scientific notation) is 1000 times 7.2 x 103?

3. What number (written in scientific notation) is 300 times 6 x 10-1?

4. What number (written in scientific notation) is half of 4.2 x 104?

5. Lake Ontario, the smallest Great Lake, covers an area of 7.34 x 103 square miles. Lake Superior, the largest Great Lake, covers an area of 3.17 x 104 square miles. About how many times as great is the area covered by Lake Superior than Lake Ontario?

6. In 2010, the world population was about 6,860,000,000. The population of the United States was about 3 x 108. About how many times larger is the world population than the population of the United States?

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7. The population of China is about 1.33 x 109. The population of France is 6.48 x 107. How many more people live in China than France?

8. The table shows the length of the certain states’ coastlines.

a) Order the states from least to greatest coastline

b) About how many times longer is the coastline of Alaska than Louisiana?

c) How much longer is Florida than California?

9. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 × 109 km from

the sun. What is the difference between Mercury’s and Neptune’s distances from the sun?

10. The mass of Earth is approximately 5.9 × 1024 kg, and the mass of Venus is approximately 4.9 × 1024 kg. a. Find their combined mass.

b. Given that the mass of the sun is approximately 1.9 × 1030 kg, how many Venuses and Earths would it take to equal the mass of the sun?

State Coastline (mi) Alaska 6.64 x 103

California 8.4 x 102 Florida 1.35 x 103

Louisiana 3.97 x 102