Scientific Notation How to write in scientific notation.

Move the decimal… until it is on the right side of the first nonzero number. Example: The decimal will be between 1 &

Drop non significant zeros has 3 significan digits, therefore the zeros are not significant therefore you may drop these. Therefore, becomes 1.23

Find the exponent. Count how many places you moved the decimal point. This will be your exponent. If you do not see a decimal point, assume it is at the end of the number In the number you will need to move the decimal point 11 places to get it between 1 & 2.

Put it all together = 1.23 x Always use the power of 10.

Follow the same steps for small numbers Example: Move decimal point = Drop non significant zeros = 1.23 Count number of places moved = 6 Add a negative to the exponent = -6 Final answer: 1.23 x 10 -6

Practice Problems I. Writing in scientific notation a Hz = 2 x 10 4 Hz b g = 1.05 x 10 5 g c cm/h = 5 x cm/h d.0.02 cm/s = 2 x cm/s e km = x 10 8 km f kg = x kg

Practice Problems Write the following numbers in standard notation. a.1.47 x 10 3 m/s = 1470 m/s b.1 x mm = mm c.2.5 x 10 0 N = 2.5