Scientific Notation
Standard Form
Word Problem 1
Word Problem 2
Exponent Rules
100

Convert 0.009 into scientific notation

9 x 10-3

100

Convert 6.78 x 10-3 to standard form

0.00678


100

A bank starts the day with 2.93 x10dollars in their vault. At the end of the day, the bank has 3.5 x 10dollars in the vault. How much more money is in the vault at the end of the day than there was in the morning? Express answer in scientific notation

3.207 x 10more dollars 

100

The diameter of Mars is about 6.8 x 10kilometers. The diameter of Earth is approximately 1.2763 x 10kilometers. About how much greater is Earths diameter than the diameter of Mars? Express your answer in standard form.

5963
100

a0=

1

200

Convert 17100000 into scientific notation

1.71 × 107

200

Convert 2.0 x 106 to standard form 

2,000,000

200

The statue of liberty is about 1.5108 x 10feet tall from the base of the torch. The pedestal is 1.54 x 10feet tall. Together, how tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch? Write in Scientific Notation

3.0508 x 102 feet

200

4.5679 x 10+ 3.77267 x 108

Express answer in Scientific Notation

3.7772379 x 108

200

aman

am+n

300

Fill in the blank

In the first factor, the number must be greater than___ but less than ___. It can be a ____ number

Greater than 1, less than 10, can be a decimal number. 

300

T/F 

If our standard form is a decimal, our exponent is positive

False

300

The mass of one molecule of oxygen is 5.3 x 10-23 grams. What is the mass of 30,000 molecules? Express answer in scientific notation.



1.59 x 10-18 grams

300

Sum, altogether, and total are all terms that hint to what operation?

addition

300

(am)n=

amn

400

Convert 0.000216 to scientific notation

2.16 x 10-4

400

Convert 2.06452 x 108 to standard form

206,452,000 

400

The approximate garbage generated by one person in the country is 6.958 x 1010 pounds. The population of the country is 4.57 x 106 people. What is the approximate number of pounds of garbage produced as a country altogether? Express answer in scientific notation.

3.179806 x 1017 pounds of garbage

400

There are 2,070 stickers being distributed evenly to 100 students. How many stickers does each student get? Express your answer in scientific notation. 

2.07 x 101

400

am/an=

am-n

500

Convert 2,343,600,567,000 to scientific notation

2.343600567 x 1012

500

Convert .000000987654 to scientific notation

9.87654 x 10-7

500

There are 1 x 1014  good bacteria in the human body. There are 2.6 x 1018 good bacteria among the spectators in a soccer stadium. About how many spectators are in the stadium? Express your answer in scientific notation.

2.6 x 10spectators

500

A queen ant lays 1.83 x 10eggs over a period of 30 days. Assuming she lays the same number of eggs each day, Jennifer computes that the queen ant lays 5.49 x107 eggs per day. Is Jennifer correct? Explain

She is incorrect, she multiplied instead of dividing. 

500

a-n=

1/an