Review of exponents 10 2 exponent base 10

Review of exponents 10 2 exponent base = 10 10 = 100

3 10 = 10 10 10 = 1, 000 102 = 10 10 = 100 1 10 = 10 100 =1 =1

3 10 = 10 10 10 = 1, 000 102 = 10 10 = 100 1 10 = 10 100 =1 1 = 102 = 1 = 0. 01 -1 10 -2 10

Practice Using Your Calculator Buttons Enter 2 10 10 X E EE Possible Outputs 100 1 E 2

Practice Using Your Calculator Buttons Enter -2 10 10 X E EE Possible Outputs . 01 1 E-2

Mr. Bernabo has 3 3 million $ 3 flat tires 3 children 3 pennies

A measurement always has 2 things!!!! 2. 031 m Magnitude Units How many of what

How tall am I? guesses?

Metric / SI Used by most of the world meter, o. C, gram English Used by the U. S. foot, o. F, 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!!

But there is an easier way!!!

Metric / SI What its for Length Mass Time Temperature Volume Unit symbol meter gram second m g s Celsius Liter o. C L

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 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, 0 o. C --- water freezes 100 o. C --- water boils o. C

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.

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

Prefix Symbol Means micro milli centi deci kilo mega KNOW these m m c d k M 10 -6 10 -3 10 -2 10 -1 103 106 or or or . 000001. 01. 1 1, 000, 000 Very small BIG

1 cm = -2 10 m 10 -2 since centi means it can just be plugged in -1 L 1 d. L = 10 ___ Which is bigger? a d. L or a L micro m milli centi deci kilo mega m c d k M 10 -6 10 -3 10 -2 10 -1 103 106

micro m What is a millisecond? milli centi deci kilo mega m c d k M 10 -6 10 -3 10 -2 10 -1 103 106

micro m What is a microliter? milli centi deci kilo mega m c d k M 10 -6 10 -3 10 -2 10 -1 103 106

The long and short of Length Meter km dm cm mm mm about a yard stick little more than 1/2 a mile width of your hand about 1/2 inch, width of a finger about the thickness of a dime a hair is about 90 mm wide

Mass gram the mass of a dollar bill mg tear a bill into a thousand pieces a bit over 2 pounds kg or 1/2 a 2 L of water

Liter m. L 1/2 a 2 Liter bottle, cantaloupe about 15 drops, or a blueberry

Front Side of Metric WS due next class period

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?

Convert: 2. 3 d. L into L or in other “words” 10 -1 100 2. 3 d. L =_______ L -1 - 0 Difference = 1 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)