Scientific Notation Application Problems

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

• 2 x 10⁸

• 2 x 10²

• 3.5 x 10⁸

• 3.5 x 10²

Solve:
(6 x 10⁶) / (2 x 10³)

• 12 x 10³

• 3 x 10⁹

• 1.2 x 10⁴

• 3 x 10³

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?

• Add

• Subtract

• Multiply

• Divide

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

The table below shows the debt of the three most populous states and the three least populous states. Part A.) What is the sum of the debts for the three most populous states? Express your answer in scientific notation.

• 1.892 x 10^6

• 1.02 x 10^12

• 1.892 x 10^3

• 1.02 x 10^7

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

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

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