4 Metric SystemThe metric system is based on a unit that corresponds to a certain kind of measurementLength = meterVolume = literWeight (Mass) = gramPrefixes plus base units make up the metric systemExample:Centi + meter = CentimeterKilo + liter = Kiloliter
5 So if you needed to measure length you would choose meter as your base unit Length of a tree branchLength of a roomLength of a table
6 But what if you need to measure a longer distance, like from your house to school? Instead of measuring in meters, we would use kilometers.Kilometers are larger units used to measure longer distances.
7 Metric System The three prefixes that we will use the most are: kilo centimillikilohectodecaBase Unitsmetergramliterdecicentimilli
8 How do we remember the order? King Henry Dances Until Dragons Change Music.
9 These prefixes are based on powers of 10. What does this mean? From each prefix every “step” is either:10 times largeror10 times smallerkilohectodecaUnitsmetergramliterdecicentimilli
10 1 centimeter = 10 millimeters Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length1 centimeter = 10 millimetersExample not to scale40411 mm40411 cm
11 An easy way to move within the metric system is by moving the decimal point one place for each “step”Example: change meters to centimeterskilohectodecameterlitergramdecicentimilliIt takes 2 moves to get from meters to centi. So we move the decimal 2 places.
12 Metric SystemIf 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 rightkilohectodecameterlitergramdecicentimilli
13 Now let’s try an example. 152.7 meters = _____ kilometers hectodecameterlitergramdecicentimilliSo for every “step” from the base unit to kilo, we move the decimal 1 place to the left (the same direction as in the diagram below)152.7 meters = kilometers
14 Now let’s start from centimeters and convert to kilometers centimeters =______ kilometersMove the decimal 5 places to the left.centimeters = kilometerskilohectodecameterlitergramdecicentimilli
15 Now let’s start from meters and convert to centimeters 5 meters = ______centimeters500kilohectodecameterlitergramdecicentimilliNow let’s start from kilometers and convert to meters.3 kilometers = ____meters300kilohectodecameterlitergramdecicentimilli
16 Metric SystemSummaryBase units in the metric system are meter, liter, gramMetric system is based on powers of 10For conversions within the metric system, each “step” is 1 decimal place to the right or leftMove the decimal to the right or the left the same number of spaces on the diagram.kilohectodecameterlitergramdecicentimilli
17 Summary King Henry Dances Until Dragons Change Music. Your homework. Lesson 1-8 #2-26 evens!