2 MeasurementA measurement is a repeatable observation of a quantity that includes a number and a unit.Examples:43 meters16 seconds5 liters20 minutes20.5 centimeters
3 SI SYSTEM OF MEASUREMENT Scientists worldwide have agreed to use the SI system of measurement in their work.SI stands for “Syste’me International”Each type of measurement in SI has a base unit, such as the meter for distance or the second for time.A common name for this system is the metric system.
4 Steps of the metric system Divide your planner page box into 24 sections by dividing it in half vertically, then each of those sections in half and then in half again.Divide it horizontally in thirds like the following:
5 Fill out your table with information List the saying that is going to help us remember the prefixes used in the metric system.Then fill in the name of the prefixes along with their abbreviations.kilohectodekadecicentimillikinghenrydancedmerrilydowncentermainkhdadcm
6 SI BASE UNITS The base units we are going to work with this year are: Meter – that is used for measuring distanceGram – that is used for measuring massLiter – that is used for measuring liquid volume.
7 Fill out your table with base unit information and sayings Change the saying for each of the saying for the other two base units.List the base units that are used for each of the measurements.kilohectodekagracefulydecicentimillimasskinghenrydancedmerrilydowncentermainlengthkhdaLazilydcmvolume
8 Prefix names + base words Fill in the names of each unit by adding the prefixes to the base words.List the abbreviations for eachKilogramkghectogramhgdekagramdaggramgdecigramdgcentigramcgmilligrammgmasskilometerkmhectometerhmdekameterdammetermdecimeterdmcentimetercmmillimetermmlengthkiloliterkLhectoliterhLdekaliterdaLLiterLdeciliterdLcentilitercLmillilitermLvolume
12 Multiply each of the following numbers by 10 27 x 10 =157 x 10 =56.4 x 10 =x 10 =x 10 =27015705644588.7235.16
13 Multiply each of the following numbers by 100 22 x 100 =156 x 100 =45.1 x 100 =74.32 x 100 =3.567 x 100 =22001560045107432356.7
14 Divide each of the following numbers by 10 33.0 or 33760.0 or 76026.810.1781.8395330 10 = 7600 10 = 10 = 1.78 10 = 10 =
15 Divide each of the following numbers by 100 2.10 or 2.178.00 or 784.2160.821210 100 = 7800 100 = 100 = 82.1 100 = 100 =
16 Guess What!If you were able to do all that without a calculator, you can do metrics.
17 Metric SystemThe metric system is based on a base unit that corresponds to a certain kind of measurementLength = meter (m)Volume = liter (L or l)Weight (Mass) = gram (g)Prefixes added to the base units make up the metric systemExample:Centi + meter = Centimeter = cmKilo + liter = Kiloliter = kL or kl
18 Common PrefixesThe three prefixes that we will use the most in class are:kilocentimillikilohectodekaBase Unitsmetergramliterdecicentimilli
19 Example for LengthSo if you needed to measure length you would choose meter as your base unitLength of a tree branch1.5 metersLength of a room5 metersLength of a ball of twine stretched out25 meters
20 Powers of 10These prefixes are based on powers of 10. What does this mean?From each prefix every “step” is either:10 times largeror10 times smallerFor exampleCentimeters are 10 times larger than millimeters1 centimeter = 10 millimeterskilohectodekaBase Unitsmetergramliterdecicentimilli
21 For ExampleA centimeters is 10 times longer than a millimeter so it takes more millimeters for the same length1 centimeter = 10 millimetersExample not to scale1 mm1 cm4041
22 The “Steps” For each “step” to right, you are multiplying by 10 For example, let’s go from a base unit to centi-1 liter = 10 deciliters = 100 centiliters2 grams = 20 decigrams = 200 centigrams( 1 x 10 = 10) = (10 x 10 = 100)(2 x 10 = 20) = (20 x 10 = 200)kilohectodekameterlitergramdecicentimilli
23 More “Steps”An easy way to move within the metric system is by moving the decimal point one place for each “step” desiredExample: change meters to centimeters1 meter = 10 decimeters = 100 centimetersor1.00 meter = 10.0 decimeters = 100. centimeterskilohectodekameterlitergramdecicentimilli
24 Applying “Steps”Now let’s try our previous example from meters to kilometers:16093 meters = decameters =hectometers = kilometersSo 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)kilohectodekameterlitergramdecicentimilli
25 Moving to the “Steps”If you move to the left in the diagram, move the decimal to the leftIf you move to the right in the diagram, move the decimal to the rightkilohectodekameterlitergramdecicentimilli
26 Moving the “Steps”Now let’s start from centiliters and convert to kiloliterscentiliters = kiloliterscentiliters = 4 kiloliterskilohectodekameterlitergramdecicentimilli
27 Moving the “Steps”Now let’s start from meters and convert to kilometers4000 meters = 4 kilometerskilohectodekameterlitergramdecicentimilliNow let’s start from centigrams and convert to grams4000 centigrams = 40 gramskilohectodekameterlitergramdecicentimilli
28 Keep on Moving the “Steps” Now let’s start from liters and convert to centiliters5 liters = 500 centiliterskilohectodekameterlitergramdecicentimilliNow let’s start from kilograms and convert to gramskilograms = 300 gramskilohectodekameterlitergramdecicentimilli
29 Keep on MovingNow let’s start from kilometers and convert to millimeters4 kilometers = millimetersor4 kilometers =40 hectometers =400 decameters =4000 meters =40000 decimeters =centimeters =millimeterskilohectodekameterlitergramdecicentimilli
30 Finally Summary Base units in the metric system are meter, liter, gram Metric system is based on powers of 10For conversions within the metric system, each “step” is 1 decimal place to the right or leftUsing the diagram below, converting to the right, moves the decimal to the right and vice versakilohectodekameterlitergramdecicentimilli
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