Scientific Notation Application Problems

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?

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The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

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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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A corporation earned a profit of $2.5 × 10⁴ for 1 × 10³ days in a row. What was the corporation’s total profit during this time period?

• 2.5 million

• 25 million

• 1.2 million

• 26,000

Write the answer in scientific notation.
4.1 x 10⁵ +   5.5 x 10⁶  =

• 5.91 x 10⁶

• 9.6 x 10⁵

• 9.6 x 10¹¹

• 4.65 x 10⁵

Jamie used a microscope to measure the diameter of a hair.  She found the diameter to be 0.000072 meters.  How is this number written in scientific notation?

• 7.2 X 10⁻⁵

• 7.2 X 10⁵

• 7.2 X 10⁶

• 7.2 X 10⁻⁶

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?

• 271 x 10¹⁰

• 271 x 10⁹

• 271 x 10¹¹

• 271 x 10⁸

The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

• 7400

• 740

• 7.4 x 10⁴

• 7.4 x 10¹

By area, Russia is the largest country in the world. It has an area of 8.649 x 10⁶ square miles. Canada is second with 4.797 x 10⁶ square miles. What is the difference in area?

• 3.852 x 10⁶ square miles

• 3.852 x 10⁰ square miles

• 1.803 x 10⁶ square miles

• 1.803 x 10¹ square miles

A computer's hard disk drive holds 8 x 10⁷ bytes of information. If Jill buys an extra memory stick that holds 3 x 10⁶ bytes of information, how much memory will the computer hold?

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