The document contains sample math word problems involving scientific notation. It includes exercises calculating masses of astronomical bodies like the moon, Earth, sun, and Pluto. It also includes problems calculating distances, speeds, populations, areas, and more using numbers written in scientific notation. The supplemental practice problems cover additional concepts like ordering numbers in scientific notation, multiplication and division with scientific notation, and comparing values such as state coastline lengths and planet distances from the sun.

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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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Lesson 13
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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Lesson 13
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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Lesson 13
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