Scientific Notation
Properties of Integers of Exponents
Operations of Exponents
100

Write this number in Scientific Notation:

560 x 10^5


5.6 x 10^6

100

Simplify: 

5^2 x 5^6

5^8

100

Add these numbers: 

(3 x 10^5) + (7 x 10^5)

10 x 10^5 or 1,000,000

200

Write the following in Scientific Notation: 

34,000,000

3.4 x 10^7

200

Simplify: 

(5^6)^7

5^42

200

Add these numbers: 

(4 x 10^5) + (5 x 10^6)

5,400,000 or 5.4 x 10^6

300

Write the following in Standard Notation: 

4.01 x 10^6

4,010,000

300

Simplify: 

(b^5 x b^2)^5

b^35

300

Subtract these numbers: 

(6.7 x 10^7) - (3.1 x 10^7)

36,000,000 or 3.6 x 10^7

400

Write the following in Standard Notation: 

7.1 x 10^ -5

0.000071

400

Simplify: 

(4t^2 x 5t^5)^2

40t^14

400

Your friend thinks that 4 x 10^3 is twice as large as 2 x 10^2. Is your friend correct? Explain why or why not. 

No because in standard notation we know (4 x 10^3)=4,000 and (2 x 10^2)=200

500

Write the following in Scientific Notation: 

-0.0000000092

-9.2 x 10^ -9

500

Each year roughly 10^6 computer programmers make $10^5. How much money is this all together? Express this in both scientific and standard notation. 

Scientific notation: 1 x 10^12 

Standard notation: 1,000,000,000,000

500

The speed of light is 3 x 10^8 meters per second. If the sun is 1.5 x 10^11 meters from Earth, how many seconds does it take the light to reach the earth?

500 seconds