Biology metricsystemscientificnotation

1,845 views

Published on

Biology metricsystemscientificnotation

Published in: Education
0 Comments
2 Likes
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
1,845
On SlideShare
0
From Embeds
0
Number of Embeds
3
Actions
Shares
0
Downloads
1
Comments
0
Likes
2
Embeds 0
No embeds

No notes for slide

Biology metricsystemscientificnotation

  1. 1. Metric System & Scientific Notation
  2. 2. Measuring with Scientific Units <ul><li>● Most scientists use the metric system when collecting data and performing experiments </li></ul><ul><li>The metric system is a decimal system of measurement whose units are based on certain physical standards. </li></ul><ul><li>The abbreviation SI comes from the French </li></ul><ul><li>SI =Le Système International d’unités </li></ul>
  3. 3. What makes up the metric system? <ul><li>Prefixes plus base units make up the metric system </li></ul><ul><ul><li>Example: </li></ul></ul><ul><ul><ul><li>Centi + meter = Centimeter </li></ul></ul></ul><ul><ul><ul><li>Kilo + liter = Kiloliter </li></ul></ul></ul>
  4. 5. Metric System <ul><li>The three prefixes that we will use the most are: </li></ul><ul><ul><li>Kilo= 1000 </li></ul></ul><ul><ul><li>centi = 1/100 (one hundredth) </li></ul></ul><ul><ul><li>milli= 1/1000 (one thousandth) </li></ul></ul><ul><li>How do you remember all of them? </li></ul><ul><li>Mnemonic: </li></ul><ul><li>K ing H enry D oesn’t M ind D rinking c hocolate m ilk </li></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  5. 7. Typical Metric Units <ul><li>What metric unit would you use to measure the length of the room? </li></ul><ul><li>What metric unit would you use to measure your weight? </li></ul><ul><li>What metric unit would you use to measure the amount of liquid in a soda bottle? </li></ul><ul><li>What unit would you use to measure the amount of liquid in an eye dropper? </li></ul>meter liter gram liter
  6. 8. Metric System <ul><li>These prefixes are based on powers of 10. What does this mean? </li></ul><ul><ul><li>From each prefix every “step” is either: </li></ul></ul><ul><ul><ul><li>10 times larger </li></ul></ul></ul><ul><ul><ul><ul><li>or </li></ul></ul></ul></ul><ul><ul><ul><li>10 times smaller </li></ul></ul></ul><ul><ul><li>For example </li></ul></ul><ul><ul><ul><li>Centimeters are 10 times larger than millimeters </li></ul></ul></ul><ul><ul><ul><li>1 centimeter = 10 millimeters </li></ul></ul></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  7. 9. Metric System <ul><ul><li>Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length </li></ul></ul><ul><ul><ul><li>1 centimeter = 10 millimeters </li></ul></ul></ul><ul><ul><ul><li>Example not to scale </li></ul></ul></ul>1 cm 40 41 41 40 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm
  8. 10. Metric System <ul><li>For each “step” to right, you are multiplying by 10 </li></ul><ul><li>For example, let’s go from a base unit to centi </li></ul><ul><ul><li>1 liter = 10 deciliters = 100 centiliters </li></ul></ul><ul><ul><li>2 grams = 20 decigrams = 200 centigrams </li></ul></ul>( 1 x 10 = 10) = (10 x 10 = 100) (2 x 10 = 20) = (20 x 10 = 200) Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  9. 11. Metric System <ul><li>An easy way to move within the metric system is by moving the decimal point one place for each “step” desired </li></ul><ul><ul><li>Example: change meters to centimeters </li></ul></ul><ul><ul><li>1 meter = 10 decimeters = 100 centimeters </li></ul></ul><ul><ul><li>or </li></ul></ul><ul><ul><li>1.00 meter = 10.0 decimeters = 100. centimeters </li></ul></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  10. 12. Metric System <ul><li>Now let’s try our previous example from meters to kilometers: </li></ul><ul><ul><li>16093 meters = 1609.3 decameters = 160.93 hectometers = 16.093 kilometers </li></ul></ul><ul><li>So for every “step” from the base unit to kilo, we moved the decimal 1 place to the left (the same direction as in the diagram below) </li></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  11. 13. Metric System <ul><li>If you move to the left in the diagram, move the decimal to the left </li></ul><ul><li>If you move to the right in the diagram, move the decimal to the right </li></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  12. 14. Metric System <ul><li>Now let’s start from centimeters and convert to kilometers </li></ul><ul><ul><li>400000 centimeters = ? kilometers </li></ul></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  13. 15. Metric System <ul><li>Now let’s start from meters and convert to centimeters </li></ul><ul><ul><li>5 meters = ? centimeters </li></ul></ul><ul><li>Now let’s start from kilometers and convert to meters </li></ul><ul><ul><li>.3 kilometers = ? meters </li></ul></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000) Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  14. 16. Metric System <ul><li>Summary </li></ul><ul><ul><li>Base units in the metric system are meter, liter, gram </li></ul></ul><ul><ul><li>Metric system is based on powers of 10 </li></ul></ul><ul><ul><li>For conversions within the metric system, each “step” is 1 decimal place to the right or left </li></ul></ul><ul><ul><li>Using the diagram below, converting to the right, moves the decimal to the right and vice versa </li></ul></ul>Kilo (1000) Hecto (100) Deca (10) Base Units meter gram liter deci (1/10) centi (1/100) milli (1/1000)
  15. 17. <ul><li>Solve each of the following </li></ul><ul><li>1kilogram(kg)=________ grams (g) </li></ul><ul><li>2) 1 cm = _________meter (m) </li></ul><ul><li>3) 10 decimeter (d) = _________m </li></ul><ul><li>4) 1000 milliters(ml) = ________liter (l) </li></ul><ul><li>5) 1000 m= _________ kilometer (km) </li></ul><ul><li>6) 5kg = __________gram </li></ul>
  16. 18. Lab <ul><li>1) Making Metric Measurements </li></ul><ul><li>In the investigation students will review SI units for measuring length, liquid volume, and mass. </li></ul><ul><li>They will also learn how to use some common laboratory equipments used for measuring. </li></ul><ul><li>2)Measuring and Graphing </li></ul><ul><li>Develop measuring skills using balance and metric ruler </li></ul><ul><li>Interpret your data using graphing skills and </li></ul><ul><li>Determine the relationship between the mass, length, and number of coins in a roll. </li></ul>
  17. 20. Scientific Notation <ul><li>Scientific notation is a way of expressing really big numbers or really small numbers. </li></ul><ul><li>For very large and very small numbers, scientific notation is more concise. </li></ul><ul><li>Scientific Notation always has two parts: </li></ul><ul><ul><li>A number between 1 and 9.9999… </li></ul></ul><ul><ul><li>A power of 10 </li></ul></ul><ul><li>N x 10 x </li></ul>
  18. 21. Writing Scientific Notation <ul><li>Place the decimal point so that there is one non-zero digit to the left of the decimal point. </li></ul><ul><li>Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10. </li></ul><ul><li>If the original number was less than 1, then the exponent is negative. If the original number was greater than 1, then the exponent is positive. </li></ul><ul><li>Example: </li></ul><ul><ul><li>Given: 289,800,000 </li></ul></ul><ul><ul><li>Start with: 2.898 </li></ul></ul><ul><ul><li>Decimal needs to move 8 places to the right </li></ul></ul><ul><ul><li>Answer: 2.898 x 10 8 </li></ul></ul>
  19. 22. Try this: <ul><li>Given: 0.000567 </li></ul><ul><li>Start with: </li></ul><ul><li>Decimal needs to move: </li></ul><ul><li>Answer: </li></ul>
  20. 23. Change Scientific Notation back to Standard Form <ul><li>Simply move the decimal point to the right for positive exponent 10. </li></ul><ul><li>Move the decimal point to the left for negative exponent 10. </li></ul><ul><li>(Use zeros to fill in places.) </li></ul><ul><li>Example: </li></ul><ul><li>Given: 5.093 x 10 6 </li></ul><ul><li>Move: 6 places to the right (positive) </li></ul><ul><li>Answer: 5,093,000 </li></ul>
  21. 24. Try This: <ul><li>Given: 1.976 x 10 -4 </li></ul><ul><li>Move: </li></ul><ul><li>Answer: </li></ul>

×