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Brain Teaser How can the numbers 2 2 2 be arranged to equal 3? Hint: think order of operations.

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Solution 2 + (2÷2) 2 + 1 = 3

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Measurement: The Metric System Lesson 1-8

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Metric System The metric system is based on a unit that corresponds to a certain kind of measurement Length = meter Volume = liter Weight (Mass) = gram Prefixes plus base units make up the metric system –E–Example: Centi + meter = Centimeter Kilo + liter = Kiloliter

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So if you needed to measure length you would choose meter as your base unit –L–Length of a tree branch –L–Length of a room –L–Length of a table

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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.

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Metric System The three prefixes that we will use the most are: –kilo –centi –milli kilo hectodeca Base Units meter gram liter deci centimilli

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How do we remember the order? King Henry Dances Until Dragons Change Music.

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These prefixes are based on powers of 10. What does this mean? –F–From each prefix every step is either: 10 times larger or 10 times smaller kilo hectodeca Units meter gram liter deci centimilli

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–Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length –1 centimeter = 10 millimeters Example not to scale 1 mm 1 cm 40 41 40

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An easy way to move within the metric system is by moving the decimal point one place for each step Example: change meters to centimeters kilo hectodeca meter liter gram deci centimilli It takes 2 moves to get from meters to centi. So we move the decimal 2 places.

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Metric System 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 hectodeca meter liter gram deci centimilli

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Now lets try an example. 152.7 meters = _____ kilometers kilo hectodeca meter liter gram deci centimilli So 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 =.1527 kilometers

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Now lets start from centimeters and convert to kilometers 400000 centimeters =______ kilometers Move the decimal 5 places to the left. 400000 centimeters = 4.00000 kilometers kilo hectodeca meter liter gram deci centimilli

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Now lets start from meters and convert to centimeters 5 meters = ______centimeters kilo hectodeca meter liter gram deci centimilli kilo hectodeca meter liter gram deci centimilli Now lets start from kilometers and convert to meters.3 kilometers = ____meters 500 300

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Metric System 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 –Move the decimal to the right or the left the same number of spaces on the diagram. kilo hectodeca meter liter gram deci centimilli

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Summary King Henry Dances Until Dragons Change Music. Your homework. Lesson 1-8 #2-26 evens!

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