• Convert 33km to centimeters (cm)Show all steps and work!!

• (4x1012) x (3x1014) = ? 8 x 1018

What is the difference between the measurement 14m and 14.00m

10 August 20151

Hint: Solve the top first

Scientific Notation

• -Scientists often work with very large or very small numbers

• -For example light travels at 300,000,000 meters per second

• -On the other hand a snail on average travels about 0.00086 meter per second

• Scientific Notation is a way of expressing a number between 1 and 10 and a power of 10!!!

Scientific Notation

• Example: 300,000,000 is written in scientific notation as 3.0 X 108

• The exponent 8 tells you that the decimal point is really 8 places to the right of the # 3

• For numbers less than one they will have a negative exponent

• Example: 0.00086 is written as 8.6 X 10-4 • The negative 4 exponent tells you how many

places to the left 8.6

Scientific Notation

• When multiplying numbers in scientific notation, you multiply the numbers that appear before the multiplication signs and then ADD the exponents

• Example: To calculate how far light travels in 500 seconds, you multiply the speed of light by the number of seconds

Example

• ( 3.0 X 108 m/s) X (5.0 x 102 s) = 15 x 1010 m

= 1.5 x 1011 mScientific notation should always

have a ones column value then a decimal

Scientific Notation

• When dividing numbers written in scientific notation, you divide the numbers before the exponential terms and subtract the exponents

• Example: To calculate how long it takes for light from the sun to reach Earth, you would perform division

Example

• ( 3.0 X 108 m/s) 1.49 x 1011 m= 2.0x 10-3 s