Scientific Notation Word Problems

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

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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

Tags

CCSS.8.EE.A.4

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. To find the average debt per person, what operation would you use?

• Add

• Subtract

• Multiply

• Divide

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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

Tags

CCSS.6.EE.A.1

CCSS.6.RP.A.1

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The US spends an average of 1.02x10⁴ dollars on each student per year.  There are about 7.6x10⁷ students in the US.  About how much money total is spent on students per year?

• 7.752 x 10¹¹
• 7.752 x 10²⁸
• 8.62 x 10¹¹
• 8.62 x 10²⁸

Tags

CCSS.6.EE.A.1

CCSS.6.NS.B.3

If a computer can perform an addition operation in 1.5 x 10^-6 seconds, how long will it take to perform 1500 such operations?

• 2.25 x 10^-3 seconds
• 2.25 x 10^-6 seconds
• 2.25 seconds
• 2.25 x 10⁶ seconds

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CCSS.8.EE.A.4

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? Which operation would you use to solve this problem?

• Addition

• Subtraction

• Multiply

• Divide

Tags

CCSS.8.EE.A.4

What is 234,000,000 in scientific notation?

• 2.34 x 10⁸
• 23.4 x 10⁷
• 2.34 x 10^-8
• 2.34⁸

Tags

CCSS.6.EE.A.1

What is 0.0000312 in scientific notation?

• 3.12 x 10^-5
• 31.2 x 10^-6
• 3.12^-5
• 3.12 x 10⁵

Tags

CCSS.6.EE.A.1