1 / 22

To show how very large or very small numbers can be expressed in scientific notation

Objectives. To show how very large or very small numbers can be expressed in scientific notation To learn the English, metric, and SI systems of measurement To use the metric system to measure length, volume and mass.

candy
Download Presentation

To show how very large or very small numbers can be expressed in scientific notation

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. Objectives • To show how very large or very small numbers can be expressed in scientific notation • To learn the English, metric, and SI systems of measurement • To use the metric system to measure length, volume and mass

  2. “Arithmetic is being able to count up to twenty without taking your shoes off” Mickey Mouse Mickey also says “Do you remember what an exponent is?”

  3. A. Scientific Notation size large size size slider small • Very large or very small numbers can be expressed using scientific notation • The number is written as a number between 1 and 10 multiplied by 10 raised to a power. e.g. 7200 is 7.2 x 103 • The power of 10 depends on: • The number of places the decimal point is moved. • The direction the decimal point is moved. Left  Positive exponent Right Negative exponent

  4. A. Scientific Notation • Representing Large Numbers 93,000,000 miles from the Earth to the Sun (sunlight takes 8 minutes to reach us) 93,000,000 = 9.3 x 10,000,000 = 9.3 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 9.3 x 107 (Decimal point moved 7 digits to the left) Number between 1 and 10 Appropriate power of ten

  5. A. Scientific Notation • Representing Small Numbers • 0.000167 • To obtain a number between 1 and 10 we must move the decimal point to the right. 0.000167 = 1.67 10-4 10-4 = 1/10000 (one ten-thousandth)

  6. Convert the following numbers between normal and scientific notation: 329 700,000 20090 0.000034 0.01023 123.4 45.607 1.7 x 103 2.4503 x 105 7.9 x 1011 2.8 x 10-3 7.45 x 10-1 2.3 x 10-7

  7. Convert the following numbers/sums into correct scientific notation: 35.9 x 103 556.67 x 104 22.7 x 10-3 0.0348 x 10-1 1845 x 105 123.4 x 1023 0.00345 x 107

  8. Scientific Notation Math - Exponents 103 10-5 100 • 1/103 • 1/105 • 1/10-2 • 1/10-7 • 103 x 108 • 10-3 x 107 • 10-5 x 10-3 • 105 / 102 • 10-7 / 105 • 10-2 / 10-4

  9. Scientific Notation Math Multiplication - multiply the numbers, add the indices 1.2 x 104multiplied by 5 x 106 = Division - divide the numbers, subtract the indices 5.5 x 108divided by 1.1 x 102 = (For all operations reconvert answers to full scientific notation)

  10. Scientific Notation Math • Addition or subtraction: Convert to the same base and perform the operation Then reconvert to scientific notation 1.04 x 103plus 6.8 x 102 =

  11. Combined Operations – Give the answer in scientific notation 7.5 x 105 __________ 3 x 103 2 x 106 x 1.5 x 102 ________________________ 5 x 103 6.5 x 105 x 4 x 104 ________________________ 2 x 10-3 7.5 x 10-5 ______________________ 3 x 103 x 5 x 10-6

  12. B. Units • Units provide a scale on which to represent the results of a measurement. What units can you think of? “Time is God’s way of making sure everything doesn’t happen at once” (Unknown)

  13. B. Units • There are 3 commonly used unit systems. • English (used in the United States) • Metric (broadly used across the World) • SI (most formal version of Metric used in science)

  14. Countries not yet officially metric: USA, Liberia, Myanmar

  15. Metric/SI Prefixes size slider Prefixes are used to denote different sizes of each unit:

  16. Full List of Metric Prefixes

  17. Metric Dollars 100 dollars 1 hectodollar 1x102 10 dollars 1 dekadollar 1x101 1 dollar 1 dollar 1x100 1 dime 1 decidollar 1X10-1 1 cent 1 centidollar 1X10-2

  18. C. Measurements of Length, Volume and Mass • Length • Fundamental unit is the meter • 1 meter = 39.37 inches Comparing English and metric systems Who is taller – a woman 5 ft 6 inches or a man 1.62 meters tall?

  19. C. Measurements of Length, Volume and Mass * *

  20. C. Measurements of Length, Volume and Mass • Volume • Amount of 3-D space occupied by a substance • Fundamental unit is meter3 (m3) 1 liter = 2.11 Pints 250mL of milk is close to ½ Pint, 1 Pint, 1 Quart, 1 Gallon?

  21. C. Measurements of Length, Volume and Mass • Mass • Quantity of matter in an object • Fundamental unit is kilogram = 2.2 lbs

  22. C. Measurements of Length, Volume and Mass How many quarters in a row to make a meter? What is the weight in kg of a man who weighs 180 lbs? How many liters in a six-pack of soda cans?

More Related