Standard Form to Scientific Notation

Standard Form to Scientific Notation

Scientific Notation 

Scientific notation is written as a product of two numbers:

-The first number must be between 1 and 10

-The second number must be a power of 10

Converting Standard to Scientific

• Step 1: Create a number between 1 and 10 by moving the decimal. 

• Step 2 :Count the number of times that you moved the decimal. This number will be your power of 10.

•  Step 3: If your number is greater than one, the exponent will be positive. 

• Step 4: If your number is less than one (like a decimal), the exponent will be negative.

Multiple Choice

Change from standard form to scientific notation: 12,000,000

• 12.0 x 10⁷

• 1.2 x 10⁶

• 0.12 x 10⁷

• 1.2 x 10⁷

Multiple Choice

Change from standard form to scientific notation: 450,000

• 4.5 x 10⁵

• 4.5 x 10⁴

• 45 x 10⁵

• 4.5 x 10⁶

Multiple Choice

Change from standard form to scientific notation: 0.000398

• 3.98 x 10^-4

• 3.98 x 10^-5

• 39.8 x 10^-5

• 39.8 x 10^-6

Multiple Choice

Change from standard form to scientific notation: 0.004078

• .4078 x 10^-2

• 4.078 x 10³

• 40.78 x 10^-4

• 4.078 x 10^-3