Scientific Notation

Scientific to Standard

100

Convert to standard notation: 4.7 X 10^4

47,000

200

Convert to standard notation: 8.923 X 10^2

892.3

300

Convert to scientific notation: 0.00094

9.4 x 10^-4

400

0.0003005

3.005 x 10^-4

500

Convert to standard notation: 0.06 x 10²

6

Standard to Scientific

100

Convert to scientific notation: 234000

2.34 X 10^5

200

Convert to scientific notation: 25,360

2.536 X 10^4

300

Convert to scientific notation: 8,000,000

8 X 10^6

400

Convert to standard notation: 4.38 X 10^-5

.0000438

500

Convert to scientific notation: 45,300

4.53 X 10^4

Comparing

100

Which is bigger? 45,000 or 4.5 X 10^3

45,000

200

Which is smaller? 9,000,000 or 9 X 10^9

9 X 10^9

300

Which is smaller? 700 or 7.00 X 10^3

700

400

Which is larger? 89,000 or 8.9 X 10^4

89,000

500

Which is equal? 6.7 X 10^3 = 67,000 OR 5.4 X 10^4 = 54,000

5.4 X 10^4 = 54,000

Multiply

100

Multiply 2 x 6.03 x 10³

1.206 x 10⁴

200

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 x 10⁷

300

A person's heart beats 80 times per minute. How many times is this in a year? Write you answer in scientific notation. 

4.2048 x 10⁷

400

An airplane traveled 5.7 × 10² miles per hour for 1.4 × 10¹ hours.  How far did the airplane travel?

7.98 x 10³

500

(3.2 × 10^-4) (4 × 10^-3)

1.28 x 10^-6

Divide

100

(2.4 x 10⁸ ) / ( 2 x 10⁵ )

1.2 x 10³

200

The population of Crowded Town is 6 × 10⁶ and the population of Empty Village is 3 × 10³.  How many times the population of Empty Village is Crowded Town?

2 x 10³

300

Mr. Lewis has 9 x 10⁶ dollars in his bank account.  Mr. Robinson has 3 x 10⁵ dollars in his bank account.  How many times more money does Mr. Lewis have than Mr. Robinson?

30

400

In 2012, the population of New York State (NY) was about 2 × 10⁸ and the population of the State of Oregon (OR) was about 4 × 10⁷

5

500

In 2013 the Los Angeles Dodgers opening day payroll was about $2.4 × 10⁸ and the Houston Astros opening day payroll was about $2.4 × 10⁷.  How many times higher was the Dodgers’ payroll?

10