Scientific Notation -
The Basics
Multiplying/Dividing in Scientific Notation
Converting to & from Scientific Notation
Scientific Notation in Real Life
Exponent-O-Rama
100
Scientific notation uses powers of what number?
10
100

(6.0 x 10-5) x (3.0 x 108 )=

1.8 x 104

100
Write this number in standard form: 4.2345 x 10^3
4234.5
100

The length of the Rio Grande River is 3,034 kilometers. Write this amount in scientific notation.

3.034 x 103

100

2.0 x 103 in standard notation is

2000

200
There are only a few numbers that can serve as the first number in a scientific notation. What are they?
1, 2, 3, 4, 5, 6, 7, 8, 9
200

(4 x 103) x (5 x 105) = 

2.0 x 10 9

200
Write this number in scientific notation: 745658.82
7.4565882 x 10^5
200

The closest the moon ever gets to the Earth is 3.567 x 105 kilometers. Write this expression in standard form.

356,700

200

True or False?

7.4 x 105 > 0.74 x 106

False! 740,000 equals 740,000

300
What is the exponent in this expression? 2.13 x 10^-2
-2
300

(3 x 10-5) x (2 x 109) = 

6 x 104

300

Write this expression in standard form 1.9665854412 x 106

1966585.4412

300

The diameter of the sun is expressed in the following scientific notation: 1.392684 x 106 Write this distance in standard form.

1,392,684 kilometers

300

Scientific Notation or Nah? Justify your answer. 0.32 x 102

Nah! The coefficient must be greater than 1 but less than 10. (PERIOD!)

400
A positive exponent (such as the one in the example) will result in what type of rational number? 2.13 x 10^2
A rational number equal to or greater than one.
400

(7.25 x 109) / (2.5 x 10-2) = 

2.9x 1011

400

Write this expression in scientific notation: 0.000001234

1.234 x 10-6

400

An atomic mass unit measures 0.00000000000000000000000166 grams. Express this weight in scientific notation.

1.66 x 10-24 grams

400

Scientific Notation or Nah? Justify your answer. 34.586 x 10-3

Nah, the coefficient must be greater than 1 but less than 10. (PERIOD!)

500
A negative exponent (such as the one in the example) will result in what type of rational number? 2.13 x 10^-2
A decimal or fractional number less than one.
500

(5.346x10-8)(2.45x103)=

1.30977x10-4

500
5.76246 x 10^-7
0.000000576246
500

The diameter of a proton is 2 x 10-14 meters Write this distance in standard form.

0.00000000000002 meters

500

Which of the following is equivalent to 36,000 x 10,000?

A 3.6 × 105

B 3.6 × 106

C 3.6 × 107

D 3.6 × 108

D

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