Scientific Notation Students will learn the uses of Scientific Notation and apply the lesson into their studies

Scientific Notation: Decimal numbers are written as a product of a number greater than or equal to 1 and less than 10, and an integer power of 10. Example:

Uses for Scientific Notation Long distances, such as the distance between the Earth and the Sun. In scientific notation that number will be

If N is a decimal number, then in scientific notation

The exponent tells how many places the decimal point is to be moved and in what direction. If the exponent is positive, the decimal point is moved to the right. If the exponent is negative, the decimal point is moved to the left.

Standard Form to Scientific Notation a number is in standard form when it is just a number, decimals are okay! 0.0004 125,000,000 You can change a number from standard form to scientific notation using these steps!

Step 1 Move the decimal point to the left or right until you have a number greater than or equal to 1 but less than 10 0.0004 125,000,000

Step 2 Count the number of places you moved the decimal point and use that number as the positive or negative power of ten. -4 +8

Step 3 Multiply the decimal (from step 1) by the power of 10 (from step 2). 0.0004 125,000,000

Scientific Notation to Standard Form A number is in Scientific notation when the number is greater than or equal to 1 but less than 10, multiplied by 10 to a positive or negative power You can change a number from scientific notation to standard form using 1 step!

It’s quick and easy! Move the decimal point right or left according to the power of the exponent.

Practice moving from standard form to scientific notation .0000321 639,800 .001 900,000,000

Practice moving from scientific notation to standard form 72,800 5,200,000 0.0000000813 0.00103