Math 8 Intro To Scientific Notation

Introduction to Scientific Notation

Math 8

Please make sure you read assignment directions!

Reminders

Notation and Rules

Multiple Choice

How would you write 5 * 5 * 5 * 5

• $5^4$

• $5\ \cdot5\$

• $5^1$

• $25\ \cdot\ 5$

Solving the problem: How do we handle big numbers?

• How could we write 860?

• How could we write 8600?

• How could we write 86000?

• How could we write 860000?

The Rules

• Writing Numbers in Standard Form. The absolute value of the exponent indicates how many places to move the decimal point.

• If the exponent is negative, move the decimal point to the left.

• If the exponent is positive, move the decimal point to the right.

Fill in the Blanks

 $10^1=10$ 
 $10^2=100$  

 $10^3=?$  

Fill in the Blanks

 $10^{-1\ }=\ 0.1$  
 $10^{-2}=0.01$  
 $10^{-3}=?$  

Fill in the Blanks

 $6.5\cdot10^1=65$  
 $6.5\cdot10^2=650$  
 $6.5\cdot10^3=6500$  
 $6.5\cdot10^4=$  

Fill in the Blanks

 $6.5\cdot10^{-1}=0.65$  
 $6.5\cdot10^{-2}=0.065$  
 $6.5\cdot10^{-3}=0.0065$  
 $6.5\cdot10^{-4}=\ ?$  

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10⁷

• 5.2 x 10⁸

• 0.52 x 10⁹

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Poll

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