1. Measuring In Metrics International System (SI) adopted for worldwide use in 1960 Unit sizes vary by multiples of 10

2. Units Length measured in meters (m) Mass measured in grams (g) Volume measured in liters (L) Time measured in seconds (s) Temperature is measured in degrees Celsius (°C)

3. Metric Units and Abbreviations Prefixes:Units: Kilo = kmeters = m Hecto = hliters = L Deka = dagrams = g Deci = d Centi = cNote: units can be used Milli = m alone or with a prefix

4. Examples mL is the abbreviation for a measurement in milliliters km is the abbreviation for a measurement in kilometers What does dm stand for? What does mg stand for?

5. Metric Number Line kilo hecto dekameter(m) deci centi milli (k) (h) (da) or (d) (c) (m) liter (L) or gram (g)

6. Converting Metric Measurements Use number line 3.5 cm is how many meters? Use the number line to figure out how many places and in what direction you need to move to go from centimeters to meters Do the same thing with your decimal cm to m is 2 places to the left, so 3.5 cm becomes 0.035 m

7. Practice: 1.2.4 m = ___________ mm 2.3,300 mL = ________ L 3.4.90 g = __________ mg

8. Scientific Notation Used for very large or very small numbers Numbers can be used in computation with far greater ease More practical to use before computers and calculators

9. Writing a Large number in Scientific Notation Written in the format: N x 10 x (where N is a number between 1 and 9.9) Position the decimal so you have a number between 1 and 9.9 Count the number of places you had to move 3,440,000,000 becomes 3.44 You moved the decimal 9 places So, you have 3.44 x 10 9

10. Writing a Small Number in Scientific Notation Follow the same steps as used for large numbers Create a number between 1 and 9.9 Count the number of places moved The exponent will have a negative sign Example: 0.000436 = 4.36 x 10 -4

11. Writing Out Numbers Written Scientific Notation Since small numbers have negative exponents in order to write them out you need to move the decimal to the LEFT (the same number of places as the exponent) 5.67 x 10 -4 is 0.000567 Large numbers have positive exponents, so the decimal would be moved to the right 3.2 x10 5 is 320,000

12. Practice: Put the following numbers in scientific notation. 1.0.000023 2.250,000,000 Write the following numbers out. 3.4.3 x 10 5 4.5.9 x 10 -5

13. Rounding Metric Measurements When you are asked to round to a specific place, you must look at the place to the right of it to determine how to round the number If the number is 4 or less, the number stays the same If the number is 5 or greater, the number is rounded up

14. Example: Round to the nearest one-tenth 56.36 3 is in the one tenths place, so you need to look at the 6 Since it is greater than 5 the 3 becomes a 4 and you drop everything else 56.4

15. Practice: Round to the nearest one-tenth 1.4.672 2.5.066 Round to the nearest whole number 3.8.328 4.6.625 Round to the nearest one-hundredth 5.3.006 6.9.320

16. Converting Metric to English Conversions Use table