1 / 12

Mastering Scientific Notation: A Guide to Large and Small Numbers in Science

In science, dealing with vast and minuscule numbers requires understanding scientific notation. Learn how to represent numbers and perform calculations in this format, crucial for accuracy in scientific measurements. Explore step-by-step instructions for converting numbers into M x 10n form, mastering multiplication, division, and calculating percent error. Enhance your scientific skills with the power of scientific notation!

azizi
Download Presentation

Mastering Scientific Notation: A Guide to Large and Small Numbers in Science

An Image/Link below is provided (as is) to download presentation 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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Scientific Notation and Error

  2. Scientific Notation In science, we deal with some very LARGE numbers: 1 mole = 602000000000000000000000 In science, we deal with some very SMALL numbers: Mass of an electron = 0.000000000000000000000000000000091 kg

  3. Imagine the difficulty of calculating the mass of 1 mole of electrons! 0.000000000000000000000000000000091 kg x 602000000000000000000000 ???????????????????????????????????

  4. Scientific Notation: A method of representing very large or very small numbers in the form: M x 10n • M is a number between 1 and 10 • n is an integer

  5. . 2 500 000 000 9 7 6 5 4 3 2 1 8 Step #1: Insert an understood decimal point Step #2: Decide where the decimal must end up so that one number is to its left Step #3: Count how many places you bounce the decimal point Step #4: Re-write in the form M x 10n

  6. 2.5 x 109 The exponent is the number of places we moved the decimal.

  7. 0.0000579 1 2 3 4 5 Step #2: Decide where the decimal must end up so that one number is to its left Step #3: Count how many places you bounce the decimal point Step #4: Re-write in the form M x 10n

  8. 5.79 x 10-5 The exponent is negative because the number we started with was less than 1.

  9. PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION Multiplication and Division

  10. 4 x 106 Multiply the front numbers then add the exponents x 3 x 106 12 x 1012 Move the decimal behind the first number 1.2 x 1013

  11. Divide the front numbers then subtract the exponents 1.2 x 109  3 x 104 0.4 x 105 Move the decimal behind the first number 4 x 104

  12. Percent Error • Mathematical measure of accuracy • Tells how far a measurement varies from the actual value Actual Value – Measured Value X 100 % Error = Actual Value

More Related