Scientific Notation

Scientific to Standard

100

Convert to standard notation: 4.7 X 10⁴

47,000

200

Convert to standard notation: 8.923 X 10²

892.3

300

Convert to standard notation: 9.87 X 10⁵

987,000

400

Convert to standard notation: 3 X 10⁶

3,000,000

500

Convert to standard notation: 3.425 X 10⁸

342,500,000

Standard to Scientific

100

Convert to scientific notation: 234000

2.34 X 10⁵

200

Convert to scientific notation: 25,360

2.536 X 10⁴

300

Convert to scientific notation: 8,000,000

8 X 10⁶

400

Convert to scientific notation: 734,239

7.34239 X 10⁵

500

Convert to scientific notation: 45,300

4.53 X 10⁴

Comparing

100

Which is bigger? 45,000 or 4.5 X 10³

45,000

200

Which is smaller? 9,000,000 or 9 X 10⁹

9,000,000

300

Which is smaller? 700 or 7.00 X 10³

700

400

Which is larger? 89,000 or 8.9 X 10⁴

89,000

500

Which is equal? 6.7 X 10³ = 67,000 OR 5.4 X 10⁴ = 54,000

5.4 X 10⁴ = 54,000

How many times greater?

100

When determining how many times greater, what operation do we use?

Division (Divide)

200

BONUS!

Extra 100 points

300

How many times greater is 3x10⁴ than 3x10¹?

1,000 times greater

400

How many times greater is 9x10⁴ than 5x10^-2?

1,800,000 times greater

500

If a fly is 4x10^-4 inches in size, and a dog is 1x10² inches in size, how many times larger is a dog than a fly?

250,000 times larger

Negative Scientific to Standard

100

Convert to standard notation: 3.0 X 10^-3

0.003

200

Convert to standard notation: 5.6 X 10^-4

0.00056

300

Convert to standard notation: 4.38 X 10^-5

0.0000438

400

Convert to standard notation: 4.6 X 10^-6

0.0000046

500

Convert to standard notation: 9.64 X 10^-7

0.000000964