Scientific Notation -- Word Problems

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? 

• 4.3092 x 10¹
• 3.9098 x 10⁷
• 3.9098 x 10⁸
• 5.7678 x 10⁸

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CCSS.6.EE.A.1

CCSS.6.NS.B.3

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?

• 3.326 x 10⁵
• 3.326 x 10⁶
• 1.99 x 10³⁰
• 1.99 x 10⁶

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CCSS.6.EE.A.1

CCSS.6.RP.A.1

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There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

• 1.271 x 10¹⁰
• 1.271 x 10⁹
• 1.271 x 10¹¹
• 1.271 x 10⁸

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CCSS.6.EE.A.1

CCSS.6.NS.B.3

A factory can make 3 × 10⁴ t-shirts per day, how many t-shirts will it make in 2.5 ×10² days?

• 7.5 × 10⁶ t-shirts

• 7.5 × 10⁴ t-shirts

• 75 × 10⁵ t-shirts

• none of these

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CCSS.6.EE.A.1

CCSS.6.RP.A.3

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.6.NS.B.3

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

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

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.6.NS.B.2

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A microgram is equal to 1 x 10 ^-6 grams. How many times greater than a microgram is 1 x 10² grams? 

• 1 x 10^-8
• 1 x 10^-4
• 1 x 10⁴
• 1 x 10⁸

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CCSS.6.EE.A.1

CCSS.6.RP.A.1

CCSS.6.RP.A.3

The distance from the sun to the Andromeda galaxy is 1.2 x 10¹⁹ miles. Light travels at a speed of 5.88 x 10¹² miles per year (called a light-year). How long does it take light from the sun to the Andromeda galaxy?

• 2.04 x 10⁶ years
• 2.04 x 10⁷ years
• 7.056 x 10²¹ years
• 7.056 x 10⁷ years

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CCSS.8.EE.A.4