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A measurement is a repeatable observation of a quantity that includes a number and a unit. Examples: 43 meters 16 seconds 5 liters 20 minutes 20.5 centimeters.

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Presentation on theme: "A measurement is a repeatable observation of a quantity that includes a number and a unit. Examples: 43 meters 16 seconds 5 liters 20 minutes 20.5 centimeters."— Presentation transcript:

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2 A measurement is a repeatable observation of a quantity that includes a number and a unit. Examples: 43 meters 16 seconds 5 liters 20 minutes 20.5 centimeters

3 Scientists worldwide have agreed to use the SI system of measurement in their work. SI stands for Systeme 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 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 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. kilohectodekadecicentimilli kinghenrydancedmerrilydowncentermain k h da d c m

6 The base units we are going to work with this year are: Meter – that is used for measuring distance Gram – that is used for measuring mass Liter – that is used for measuring liquid volume.

7 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. kilohectodekagracefulydecicentimillimass kinghenrydancedmerrilydowncentermainlength k h daLazily d cmvolume

8 Fill in the names of each unit by adding the prefixes to the base words. List the abbreviations for each Kilogram kg hectogram hg dekagram dag gram g decigram dg centigram cg milligram mg mass kilometer km hectometer hm dekameter dam meter m decimeter dm centimeter cm millimeter mm length kiloliter kL hectoliter hL dekaliter daL Liter L deciliter dL centiliter cL milliliter mL volume

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12 Multiply each of the following numbers by x 10 = 157 x 10 = 56.4 x 10 = x 10 = x 10 =

13 Multiply each of the following numbers by x 100 = 156 x 100 = 45.1 x 100 = x 100 = x 100 =

14 = = = = = 33.0 or or

15 = = = = = 2.10 or or

16 If you were able to do all that without a calculator, you can do metrics.

17 The metric system is based on a base unit that corresponds to a certain kind of measurement Length = meter (m) Volume = liter (L or l) Weight (Mass) = gram (g) Prefixes added to the base units make up the metric system Example: Centi + meter = Centimeter = cm Kilo + liter = Kiloliter = kL or kl

18 The three prefixes that we will use the most in class are: kilo centi milli kilo hectodeka Base Units meter gram liter deci centimilli

19 So if you needed to measure length you would choose meter as your base unit Length of a tree branch 1.5 meters Length of a room 5 meters Length of a ball of twine stretched out 25 meters

20 These prefixes are based on powers of 10. What does this mean? From each prefix every step is either: 10 times larger or 10 times smaller For example Centimeters are 10 times larger than millimeters 1 centimeter = 10 millimeters kilo hectodeka Base Units meter gram liter deci centimilli

21 A centimeters is 10 times longer than a millimeter so it takes more millimeters for the same length 1 centimeter = 10 millimeters Example not to scale 1 mm 1 cm

22 For each step to right, you are multiplying by 10 For example, lets go from a base unit to centi- 1 liter = 10 deciliters = 100 centiliters 2 grams = 20 decigrams = 200 centigrams kilo hectodeka meter liter gram deci centimilli ( 1 x 10 = 10) = (10 x 10 = 100) (2 x 10 = 20) = (20 x 10 = 200)

23 An easy way to move within the metric system is by moving the decimal point one place for each step desired Example: change meters to centimeters 1 meter = 10 decimeters = 100 centimeters or 1.00 meter = 10.0 decimeters = 100. centimeters kilo hectodeka meter liter gram deci centimilli

24 Now lets try our previous example from meters to kilometers: meters = decameters = hectometers = kilometers 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) kilo hectodeka meter liter gram deci centimilli

25 If you move to the left in the diagram, move the decimal to the left If you move to the right in the diagram, move the decimal to the right kilo hectodeka meter liter gram deci centimilli

26 Now lets start from centiliters and convert to kiloliters centiliters = kiloliters centiliters = 4 kiloliters kilo hectodeka meter liter gram deci centimilli

27 Now lets start from meters and convert to kilometers 4000 meters = 4 kilometers kilo hectodeka meter liter gram deci centimilli kilo hectodeka meter liter gram deci centimilli Now lets start from centigrams and convert to grams 4000 centigrams = 40 grams

28 Now lets start from liters and convert to centiliters 5 liters = 500 centiliters kilo hectodeka meter liter gram deci centimilli kilo hectodeka meter liter gram deci centimilli Now lets start from kilograms and convert to grams.3 kilograms = 300 grams

29 Now lets start from kilometers and convert to millimeters 4 kilometers = millimeters or 4 kilometers = 40 hectometers = 400 decameters = 4000 meters = decimeters = centimeters = millimeters kilo hectodeka meter liter gram deci centimilli

30 Summary Base units in the metric system are meter, liter, gram Metric system is based on powers of 10 For conversions within the metric system, each step is 1 decimal place to the right or left Using the diagram below, converting to the right, moves the decimal to the right and vice versa kilo hectodeka meter liter gram deci centimilli


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