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Review of exponents. 2. 10. exponent. base. = 10 10 = 100. = 10 10 10. = 1,000. = 1. = 1. 10 3. 10 2. = 10 10. = 100. 10 1. = 10. = 10. 10 0. = 10 10 10. = 1,000. = 1. = 1. 1. =. 10. 1. 10 2. 10 3. 10 2. = 10 10. = 100. 10 1. = 10. = 10. 10 0.
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Review of exponents 2 10 exponent base = 10 10 = 100
= 10 10 10 = 1,000 = 1 = 1 103 102 = 10 10 = 100 101 = 10 = 10 100
= 10 10 10 = 1,000 = 1 = 1 1 = 10 1 102 103 102 = 10 10 = 100 101 = 10 = 10 100 10-1 = 0.1 10-2 = 0.01 =
Practice Using Your Calculator Buttons Enter 102 10X E EE Possible Outputs 100 1E2
Practice Using Your Calculator Buttons Enter 10-2 10X E EE Possible Outputs .01 1E-2
3 million $ 3 flat tires 3 children 3 pennies Mr. Bernabo has 3
A measurement always has 2 things!!!! 2.031 m Units of what Magnitude How many
How tall am I? guesses?
Metric / SI Used by most of the world meter, oC, gram English Used by the U.S. foot, oF, pound
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.
Some English Conversions 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(more) English Conversions 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!!
meter m gram g second s Liter Celsius L oC Metric / SI symbol What its for Unit Length Mass Time Temperature Volume
Meter, m JUST LISTEN (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
gram, g JUST LISTEN (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 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.
Liter, L JUST LISTEN about the volume of a cantaloupe or 1/2 a 2 L bottle (duh)
JUST LISTEN Celsius, oC 0oC --- water freezes 100oC --- water boils
These are the base units m, g, s, oC, 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.
Prefixes make a base unit bigger or smaller centimeter prefix cm 1 cm is about 1/2 an inch much more appropriate to estimate the length of your finger
or .000001 Very small or .001 or .01 or .1 or 1,000 BIG or 1,000,000 Prefix Symbol Means m micro 10-6 m milli 10-3 c centi 10-2 d deci 10-1 k kilo 103 M mega 106 KNOW these
m micro 10-6 1 cm = 10-2 m milli 10-3 m c centi 10-2 since centi means 10-2 it can just be plugged in d deci 10-1 k kilo 103 1dL = ___ L 10-1 M mega 106 Which is bigger? a dL or a L
m micro 10-6 milli 10-3 m c centi 10-2 d deci 10-1 What is a millisecond? k kilo 103 M mega 106
m micro 10-6 milli 10-3 m c centi 10-2 d deci 10-1 What is a microliter? k kilo 103 M mega 106
The long and short of Length 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 mm wide
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
Liter Liter 1/2 a 2 Liter bottle, cantaloupe mL about 15 drops, or a blueberry
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 2.0 Hey, where are we going?
-1 - 0 Difference = 1 Convert: 2.3 dL into L or in other “words” 10-1 100 2.3 dL =_______ L 1.) write the value of the prefix above both units (If the unit has no prefix write “100 ”) 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)
Need to move the decimal 1 place (which way) First which is the small and which is the big? 10-1 100 .23 2.3 dL =_______ L
0 -(-2) Difference = 2 big small .560 000 Convert 13 m to cm 100 10-2 1,300 13 m = _______ cm
3 -(-3) Difference = 6 big small .560 000 103 10-3 560,000 .560 km =_______ mm Will I have more or less km? MORE
-1-(-6) Difference = 5 big small 000 .25 10-1 10-6 25,000 .25 dm =_______ mm Will I have more or less mm? MORE
1.4 10-3 km =_______ cm DO THIS and the next one for hwk