Exponent Rules
Scientific Notation to Standard Form
Standard Form to Scientific Notation
Comparing Scientific Notation
Multiplying/Dividing in Scientific Notation
100

50

1

100

Write the number 3 x 10-4 in standard form.

0.0003

100

Write the number 41,000 in scientific notation.

4.1 x 104

100

How many time bigger is 103 than 102?

10

100

(5.76 x 1013)(6.23 x 10-20)

35.8848 x 10-7

200

(53)2

56

200

Write the number 9.2 x 105 in standard form.

920,000

200

Write the number 5,600,000 in scientific notation.

5.6 x 106

200

The state of Colorado covers about 1.04 x 105 square `miles.  The Indian Ocean covers about 2.808 x 107 square miles.  About how many times bigger than Colorado is the Indian Ocean?

270

200

(9.7 x 1010) / (2.9 x 107)

3.34 x 103

300

2-1 / 24

1/(25)

300

Write the number 2.345 x 107 in standard form.

23,450,000

300

Write the number 0.088 in scientific notation.

8.8 x 10-2

300

Mount St. Helens had an eruption rate of 2.0 x 104, while Ngauruhoe had an eruption rate of 2.0 x 103.  How many times greater was the Mount St. Helens eruption than the Ngauruhoe eruption?

10

300

(1.6 x 105) (9.65 x 109)

15.44 x 1014

400

5-2 x 55

53

400

Write the number 9.9 x 10-3 in standard form.

0.0099

400

Write the number 0.000456 in scientific notation.

4.56 x 10-4

400

Hekla had an eruption rate of 4.0 x 103, while Ngauruhoe had an eruption rate of 2.0 x 103. How many times greater was the Hekla eruption than the Ngauruhoe eruption?

2

400

(5.25 x 1013) / (6.14 x 108)

.855 x 105

500

(50 x 5-3)-3

59

500

Write the number 4.8934 x 10-6 in standard form.

0.0000048934

500

Write the number 73 in scientific notation.

7.3 x 101

500

Students at Salt Lake Community College pay 1.585 x 104 dollars for tuition. Students at George Washington University pay 4.573 x 105 dollars.  About how many times greater is the tuition at George Washington University?

29

500

The half-life of uranium-238 is 4.5 x 109 years.  The half-life of uranium-234 is 2.5 x 105 years.  How many times greater is the half-life of uranium-238 than that of uranium-234?

18,000