Application of Scientific Notation

There are 3.4 x 10⁹ dust particles in 1 cubic metre. How many dust particles are there in 1200 cubic metres?

• 4.08 x 10¹²

• 4.08 x 10¹¹

• 4.08 x 10¹⁰

• 4.08 x 10⁹

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

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

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

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

• 892 x 10^6

• 1.02 x 10^12

• 892 x 10^3

• 1.02 x 10^7

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

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

Try to change the number back to standard form:  6.79  x  10⁴

• 679,000

• 6,790

• 67,900

• 6,790,000

Try to change the number back to standard form: 3.97  x  10^-2

• 0.000397

• 0.0397

• 0.0000397

• 0.397

Change from standard form to scientific notation: 12,000,000

• 12.0  x  10⁷

• 0.12  x  10⁷

• 1.2  x  10⁶

• 1.2  x  10⁷