Scientific Notation Word Problems

Authored by Courtney Riggs

Mathematics

8th Grade

20 Questions

CCSS covered

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1. The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 10² vibrations per second. If a pianist plays middle C for 5 x 10^-1 seconds, how many vibrations will occur?

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CCSS.8.EE.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

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CCSS.8.EE.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3. In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. What was the average debt per person?

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CCSS.8.EE.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4. Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²⁴ kg.

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CCSS.8.EE.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5. The Colorado Department of Education spent about 4.408 x 10⁹ in fiscal year 2004-2005 on public schools. There were about 7.6 x 10⁵ students enrolled in public school. What was the average spending per student?

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CCSS.8.EE.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6. Rhode Island is the smallest state in the United States. Its land area is about 2.9 x 10¹⁰ square feet. Alaska, the largest state, is about 5.5 x 10² times as large as Rhode Island. What is the land area of Alaska in square feet?

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CCSS.8.EE.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

7a. The approximate total surface area of the Earth is 5.1 x 10⁸km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 10⁶ km. How much of the Earth’s surface is covered by water, including both salt and freshwater?

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CCSS.7.EE.B.3

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Scientific Notation Word Problems

1. The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 10² vibrations per second. If a pianist plays middle C for 5 x 10^-1 seconds, how many vibrations will occur?

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

3. In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. What was the average debt per person?

4. Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²⁴ kg.

5. The Colorado Department of Education spent about 4.408 x 10⁹ in fiscal year 2004-2005 on public schools. There were about 7.6 x 10⁵ students enrolled in public school. What was the average spending per student?

6. Rhode Island is the smallest state in the United States. Its land area is about 2.9 x 10¹⁰ square feet. Alaska, the largest state, is about 5.5 x 10² times as large as Rhode Island. What is the land area of Alaska in square feet?

7a. The approximate total surface area of the Earth is 5.1 x 10⁸km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 10⁶ km. How much of the Earth’s surface is covered by water, including both salt and freshwater?

7b. The approximate total surface area of the Earth is 5.1 x 10⁸km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 10⁶ km. How much of the Earth’s surface is covered by land?

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

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Scientific Notation Word Problems

1. The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 102 vibrations per second. If a pianist plays middle C for 5 x 10-1 seconds, how many vibrations will occur?

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

3. In the year 2000, the United States public debt was about 5.6 x 1012 dollars. The population of the United States in that year was about 2.8 x 108 people. What was the average debt per person?

4. Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 1024 kg and Venus is approximately 4.9 x 1024 kg.

5. The Colorado Department of Education spent about 4.408 x 109 in fiscal year 2004-2005 on public schools. There were about 7.6 x 105 students enrolled in public school. What was the average spending per student?

6. Rhode Island is the smallest state in the United States. Its land area is about 2.9 x 1010 square feet. Alaska, the largest state, is about 5.5 x 102 times as large as Rhode Island. What is the land area of Alaska in square feet?

7a. The approximate total surface area of the Earth is 5.1 x 108 km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 106 km. How much of the Earth’s surface is covered by water, including both salt and freshwater?

7b. The approximate total surface area of the Earth is 5.1 x 108 km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 106 km. How much of the Earth’s surface is covered by land?

The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles?

The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?

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1. The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 10² vibrations per second. If a pianist plays middle C for 5 x 10^-1 seconds, how many vibrations will occur?

3. In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. What was the average debt per person?

4. Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²⁴ kg.

5. The Colorado Department of Education spent about 4.408 x 10⁹ in fiscal year 2004-2005 on public schools. There were about 7.6 x 10⁵ students enrolled in public school. What was the average spending per student?

6. Rhode Island is the smallest state in the United States. Its land area is about 2.9 x 10¹⁰ square feet. Alaska, the largest state, is about 5.5 x 10² times as large as Rhode Island. What is the land area of Alaska in square feet?

7a. The approximate total surface area of the Earth is 5.1 x 10⁸km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 10⁶ km. How much of the Earth’s surface is covered by water, including both salt and freshwater?

7b. The approximate total surface area of the Earth is 5.1 x 10⁸km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 10⁶ km. How much of the Earth’s surface is covered by land?

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?