1 / 8

# Aim: How can we express very large and very small numbers easily? - PowerPoint PPT Presentation

Aim: How can we express very large and very small numbers easily?. Do Now Choose one: Express 534 megameters in meters Describe in full sentences the method for converting between unit prefixes (for example grams to kilograms). Big and small numbers.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Aim: How can we express very large and very small numbers easily?' - nigel

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Aim: How can we express very large and very small numbers easily?

Do Now

Choose one:

Express 534 megameters in meters

Describe in full sentences the method for converting between unit prefixes (for example grams to kilograms)

Big and small numbers easily?

• Do you know this number: 300,000,000 m/sec?

• It’s the speed of light!

• It’s the mass of a single proton.

Scientific Notation easily?

• Just like a standard system of units makes measuring easier, using a standard system to express large and small numbers makes doing calculations easier.

• We call this system Scientific Notation.

Scientific Notation easily?

• Scientific Notation involves using powers of ten to represent the excess zeros.

• Move the decimal all the way so it is behind the first significant digit

• So the speed of light (300,000,000 m/s) is written as 3.0 x 108 m/s

Scientific Notation Rules easily?

• For large numbers, put the decimal after the first digit. That will be your coefficient.

• For example 123,000,000,000

• Count how many places you had to move the decimal. That will be your power of 10.

• We also call this the order of magnitude.

• Write it in Scientific Notation form: 1.23 x 1011

Scientific Notation Rules easily?

• For small numbers, put the decimal behind the first non-zero digit in the decimal.

• Again, count how many spaces you moved the decimal. That is your negative exponent or order of magnitude.

• For example: .00000000139 is 1.39 x 10-9

0.0000514 =

1,630,000 =

• When multiplying numbers in Scientific Notation: Multiply the coefficients (front numbers), keep the 10 and add the exponents.

• 4.0 x 105 * 2.0 x 106 = ???

• When dividing numbers in Scientific Notation: Divide the coefficients (front numbers), keep the 10 and subtract the exponents.

• 4.0 x 105/ 2.0 x 106 = ???