Scientific Notation

Vocabulary

100

What is the tiny number at the top of the right side of the base number?

Exponent

200

The base number that has to be between 1 and 10

coefficient 

300

10X10X10

Expanded Form

400

10,000

Standard Form

500

10⁴

Exponential Form

Word Problems

100

The population of the world is about 7,117,000,000. What is this in Exponential Form? 

7.117 x 10⁹

200

The distance from Earth to the Sun is about 92,960,000 miles. What is this number in Exponential Form? 

9.296 x 10 ⁷

300

The mass of a particle of dust is 7.53 x 10^-10 kg. What is this number in standard form?

0.000000000753

400

The length of the shortest wavelength of visible light (violet) is 0.0000004 meters. What is this number in Exponential form?

4.0 x 10^-7

500

The human body contains approximately 6.0 x 10¹³ to 9.0 x 10¹³ cells. What is this number in standard form?

60,000,000,000,000 to 90,000,000,000,000 cells

Standard Form to Exponential Form

100

What is 6800 in Exponential form?

6.8 X 10³

200

What is .0056 in exponential form?

5.6 X 10^-3

300

What is 100,000 in exponential form?

1 X 10⁵

400

What is 800,000,000 in exponential form?

8 X 10⁸

500

What is .00079 in exponential form?

7.9 X 10^-4

Exponential Form to Standard Form

100

6X10³ in Standard form?

6000

200

3.4 X 10^-2 in standard form?

.034

300

5 X 10¹⁰ in standard form?

50,000,000,000

400

9.2 X 10^-5 in standard form?

.000092

500

2.3 X 10⁷ in standard form?

23,000,000

Challenging Questions

100

When moving the decimal to the left the exponent will be?

Positive

200

When moving the decimal to the right the exponent will be?

Negative

300

What does 10³ look like in expanded form?

10 X 10 X 10

400

What is 10 X 10 X 10 X 10 X 10 X 10 in exponential form?

10⁶

500

What are the three forms can scientific notation look like?

Exponential

Expanded

Standard