Converting, Multiplying, and Dividing Scientific Notation

Converting to Scientific

100

This number in scientific notation: 3,000,000,000

What is 3*10⁹

200

This number in scientific notation: 0.0000015

What is 1.5*10^-6

300

This number in scientific notation: 22.5*10³

What is 2.25*10⁴

400

This number in scientific notation 0.593*10^-5

What is 5.93*10^-6

500

This number in scientific notation: 301.4*10^-7

What is 3.014*10^-5

Converting to Standard

100

This number in standard form: 2*10³

What is 2,000

200

This number in standard form: 2.345*10^-2

What is 0.02345?

300

This number in standard form: 3.2*10^-3

What is 0.0032?

400

This number in standard form: 6.87*10⁴

What is 68,700?

500

This number in standard form: 92*10⁵

What is 9,200,000?

Multiplying

100

The product, written in scientific notation, of 

(2*10³)(4*10⁶)

What is 8*10⁹?

200

The product, written in scientific notation, of 

(1.2*10⁵)(3.5*10²)

What is 4.2*10⁷?

300

The product, written in scientific notation, of 

(4.3*10^-2)(2*10^-6)

What is 8.6*10^-8?

400

The product, written in scientific notation, of

(4.78*10⁵)(3.5*10²)

What is 1.673*10⁸?

500

The product, written in scientific notation, of 

(5.6*10^-6)(4.2*10³)

What is 2.352*10^-2?

Dividing

100

The quotient, written in standard form of

(6*10⁸)/(3*10⁵)

What is 2*10³?

200

The quotient, written in scientific notation, of

(6.15*10⁷)/(2*10⁹)

What is 3.075*10^-2?

300

The quotient, written in scientific notation, of

(5.5*10⁶)/(1.25*10^-4)

What is 4.4*10¹⁰?

400

How many times larger is 1.15*10⁹ than 3.25*10²? Written in scientific notation. 

What is 3.538*10⁶?

500

How many times larger is 2.76*10^-2 than 6.8*10^-5? Written in scientific notation.

What is 4.059*10²?

Word Problems!

100

The mathematical operation that you should do if you see the keywords "how many times greater" in a word problem.

What is division?

200

Lake Superior has a volume of 4.27*10¹⁴ cubic feet of water. Seneca Lake has a volume of 1.06*10¹¹ cubic feet of water. How many times larger is the volume of Lake Superior than Seneca Lake?

What is 4.03*10³ cubic feet?

300

A large city uses about 1.2*10⁶ gallons of water per day. If the city consumes this amount every day for 3.2*10² days, how many gallons of water will have been used?

What is 3.84*10⁸ gallons of water

400

The state of Colorado covers about 1.04 × 10⁵ square miles. The Indian Ocean covers about 2.808 × 10⁷ square miles. How many times bigger than Colorado is the Indian Ocean?

What is 2.7*10² times bigger?

500

The approximate average distances from the sun to Neptune and Mercury are listed below:

Neptune: 4.5×10⁹ kilometers

Mercury: 5.79×10⁷ kilometers

How many times farther from the sun is Neptune than Mercury?

What is 7.77*10¹ times farther?