1 / 11

Scientific Notation and Units of Measurement

Scientific Notation and Units of Measurement. Scientific Notation. Scientists often deal with both very large and very small numbers. Ex. 0.00000000000000001 or 100,000,000,000,000,000 To keep things simple, we express these numbers as powers of 10. Scientific Notation. Power of 10

elie
Télécharger la présentation

Scientific Notation and Units of Measurement

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 Units of Measurement

  2. Scientific Notation • Scientists often deal with both very large and very small numbers. Ex. 0.00000000000000001 or 100,000,000,000,000,000 • To keep things simple, we express these numbers as powers of 10. Scientific Notation

  3. Power of 10 “a” determines the number of powers Any number between 1 & 10 Scientific Notation (cont.) • Scientific notation is expressed as: M x 10ª

  4. Scientific Notation (cont.) Decimal behind # = right to left = positive 10 power Example 1.2500000 0= 2.5 x 106 Decimal in front of # = left to Right = negative 10 power Example 2.000005 = 5 x 10-5

  5. Scientific Notation (cont.) Class Practice: 1. Convert 31,000 to scientific notation. 2.Convert 0.00012 to scientific notation. 3.1 x 104 1.2 x 10-4

  6. Scientific Notation (cont.) • You can also convert scientific notation back to standard notation. Just move the decimal back in the opposite direction 140,000 Example 1. 1.4 x 105 = Example 2. 1.5 x 10-4 = 0.00015

  7. Scientific Notation (cont.) • Multiplying numbers in scientific notation: 1.716 x 1011 (4.4 x 106) x (3.9 x 104) = 4.4 x 3.9 = 17.16 6 + 4 = 10

  8. Scientific Notation (cont.) • Dividing numbers in scientific notation: (5.76 x 109) ÷ (3.2 x 103) = 1.8 x 106 5.76 ÷ 3.2 = 1.8 9 – 3 = 6

  9. Scientists use this system!!! Units of Measurement • 2 systems of measurement in use English ( yards, gallons, miles, feet) Metric (meters, liters, kilometers)

  10. SPLAT MARS Units of Measurement (cont.) • Why is it important that we know what system we are using? STOP NASA orbiter (1999): 125 million dollar conversion error!!!

  11. kilo hecto deca (k) (h) (da) deci centi milli (d) (c) (m) g L m 2.5 x 10-1 kg 103 102 101 10-1 10-2 10-3 2.5 x 105 mL 2.5 x 107 mg 100 Units of Measurement (cont.) Ex 1. 250 g = kg 0.250 Ex 2. 250 L = mL 250,000 Ex 3. 250 hg = mg 25,000,000

More Related