Scientific Notation Word Problems and Operations

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

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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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As part of a community service project, a school planted 7x10⁵ trees in a year. If there are 3.5x10³ students in the school, how many trees did each student plant?

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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?

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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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Solve:
(6 x 10⁶) / (2 x 10³)

• 12 x 10³

• 3 x 10⁹

• 1.2 x 10⁴

• 3 x 10³

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