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Review of exponents 10 2 base exponent = 10 10 = 100
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10 1 = 10 10 2 = 10 10= 100 10 3 = 10 10 10= 1,000 10 0 = 1
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10 1 = 10 10 2 = 10 10= 100 10 3 = 10 10 10= 1,000 10 0 = 1 10 -1 = 0.1 10 = 1 10 -2 = 0.01 = 10 2 1
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Practice Using Your Calculator Enter 10 2 10 X E EE Buttons 100 Possible Outputs 1E21E2
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Practice Using Your Calculator Enter 10 -2 10 X E EE Buttons.01 Possible Outputs 1 E- 2
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Mr. Bernabo has 3 3 million $ 3 flat tires 3 children 3 pennies
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A measurement always has 2 things!!!! 2.031 m Magnitude How many Units of what
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How tall am I? guesses?
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Metric / SI Used by most of the world English Used by the U.S. meter, o C, gram foot, o F, pound
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What’s the big deal about units? It is important that we all are on the same page How many “foot lengths” is the width of the room The mars climate orbiter crashed into the planet instead of orbiting due to 1 branch of NASA using English units and the other Metric.
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Area: One township = 36 sections or 23,040 acres where an acre = 160 square poles = 100,000 square gunter links = 43,560 square feet = 10 chains where 1 chain = 22 yards, but the engineer’s chain = 100 feet. Volume: 1 barrel = 42 gallons or 196 pounds or 55 gallons. But 1 gallon = 4 quarts with 2 pints per quart or 4 cups. Unless it’s the Queen Anne wine gallon, the milk gallon, or the imperial gallon. However we have 62.4 pounds per cubic foot for water. Now then there is the statute mile, the league, the nautical mile, and the marine league. Sheeeeeshhh…. More… Some English Conversions
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Gasp! There is the liquid pint = 28.875 cubic inches, the liquid quart = 128 drams = 7680 minims. Ah, but 1 teaspoon = 1 1/3 drams which is 238 scruples. So there is the Troy ounce, the Avoidupois ounce and a pound of feathers is not the same as a pound of gold. Oooh, we have the short ton and the long ton. Do not get these confused with the furlong or the fathom. Bushells and pecks, palms and hands should have nothing to do with carats. Watch out for the rod!! This is just a start!!! And many Americans think we should hang on to this!! Some(more) English Conversions
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But there is an easier way!!!
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Metric / SI Unit Length meterm symbol Mass gramg Time seconds Temperature Celsius oCoC Volume LiterL What its for
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Meter, m (About 3 feet, or a yard) Has been defined many ways including the distance between two scratches in platinum metal bar while at the temperature of melting ice. Currently defined as the distance traveled by light in 1/299,792,458 seconds JUST LISTEN
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gram, g (About the mass of a dollar bill) The mass standard is of a kilogram (1000 g) which is defined as the mass of a certain chunk of platinum and iridium. Official copies are distributed and compared the the standard about every 10 years. JUST LISTEN
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Second, s (about 1 Mississippi) Used to be defined by 1/86,400 of the mean solar day, but the earth’s rotation is SLOWING. (Yeah more time in the day) Currently defined in terms of the time needed for a Cesium atom to go from an excited state back to a ground state. JUST LISTEN
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Liter, L about the volume of a cantaloupe or 1/2 a 2 L bottle (duh) JUST LISTEN
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Celsius, o C 0 o C --- water freezes 100 o C --- water boils JUST LISTEN
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These are the base units m, g, s, o C, L It is not too convenient to measure some things with a base unit. It might be too big or small. How many meters is your index finger.
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Prefixes make a base unit bigger or smaller centimeter cmcm prefix 1 cm is about 1/2 an inch much more appropriate to estimate the length of your finger
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PrefixSymbolMeans micro 10 -6 milli m 10 -3 centi c 10 -2 deci d 10 -1 kilo k 10 3 mega M 10 6 KNOW these Very small BIG or.000001 or.001 or.01 or.1 or 1,000 or 1,000,000
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micro 10 -6 milli m 10 -3 centi c 10 -2 deci d 10 -1 kilo k 10 3 mega M 10 6 1 cm = 10 -2 m since centi means 10 -2 it can just be plugged in 1dL = ___ L10 -1 Which is bigger? a dL or a L
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micro 10 -6 milli m 10 -3 centi c 10 -2 deci d 10 -1 kilo k 10 3 mega M 10 6 What is a millisecond?
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micro 10 -6 milli m 10 -3 centi c 10 -2 deci d 10 -1 kilo k 10 3 mega M 10 6 What is a microliter?
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Meter about a yard stick km little more than 1/2 a mile dm width of your hand cm about 1/2 inch, width of a finger mm about the thickness of a dime mm a hair is about 90 m wide The long and short of Length
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Mass gram the mass of a dollar bill mg tear a bill into a thousand pieces kg a bit over 2 pounds or 1/2 a 2L of water
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Liter 1/2 a 2 Liter bottle, cantaloupe mL about 15 drops, or a blueberry
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Front Side of Metric WS due next class period
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Metric Conversions For many reasons in science class or the “real world” you will need to be able to convert between units. In the metric system it is EZ. Just move the decimal place Hey, where are we going? 2.0
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Convert:2.3 dL into L or in other “words” 2.3 dL =_______ L 1.) write the value of the prefix above both units (If the unit has no prefix write “10 0 ”) 2.) Find the DIFFERNCE between the exponents = the number of times the decimal is moved 3.) Which way to move it? Think (hint start with a smaller unit, answer gets smaller) 10 -1 10 0 -1 - 0 Difference = 1
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2.3 dL =_______ L 10 -1 10 0.23 Need to move the decimal 1 place (which way) First which is the small and which is the big?
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13 m =_______ cm 10 0 10 -2 0 -(-2) Difference = 2 smallbig.560000 1,300 Convert 13 m to cm
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.560 km =_______ mm 10 3 10 -3 3 -(-3) Difference = 6 Will I have more or less km? smallbig MORE.560000 560,000
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.25 dm =_______ m 10 -1 10 -6 -1-(-6) Difference = 5 Will I have more or less m? bigsmall MORE 25,000.25 000
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6.3 10 3 L =_______ mL
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2.3 10 5 cm =_______ m
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1.4 10 -3 ms =_______ ds
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7.5 10 -7 dm =_______ km
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1.4 10 -3 km =_______ cm DO THIS and the next one for hwk
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1.4 10 7 m =_______ km
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