Scientific Notation with Word Problems

The dimensions of an office building are 1.5 x 10² feet by 1.35 x 10³ feet. What is the perimeter of the base of the building, in feet?

• 50 x 10³

• 85 x 10 ⁵

• 00 x 10 ³

• 70 x 10 ⁵

The Diplodocus dinosaur is believed to have become extinct approximately 1.38x10⁸ years ago.  The Oviraptor is believed to have become extinct approximately 7x10⁷ years ago.  How many years were there between the extinction of these two dinosaur types?

• 6.8 x 10⁸

• 6.8 x 10⁹

• 68 x 10⁸

• 6.8 x 10⁷

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

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?

• 11 x 10¹³

• 11 x 10⁷

• 8.3 x 10¹³

• 8.3 x 10⁷

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 10⁶ and LA’s population was about 3.8 × 10⁶. What is the population of these two cities combined?

• 19 x 10^-7

• 19 x 10⁷

• 11.9 x 10⁶

• 19 x 10⁶

The US spends an average of 2x10⁴ dollars on each student per year. There are about 6.x10⁷ students in the US. About how much money total is spent on students per year?

• 1.2 x 10¹³

• 1.2 x 10¹²

• 8. x 10¹¹

• 4 x 10²⁸

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

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

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 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