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Chapter 3. Numeration And Computation. 5. America’s Funniest Home Videos Tally’s on a staff Pebbles in a pouch Abstract idea of “three-ness” evolved New Guinea “iya” – one “rarido” – two Additive Number System. Count!. Fe Fi Fo Fum Fiddle Fruit Folks Fist.
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Chapter 3 Numeration And Computation
America’s Funniest Home Videos • Tally’s on a staff • Pebbles in a pouch • Abstract idea of “three-ness” evolved • New Guinea • “iya” – one • “rarido” – two • Additive Number System
Count! • Fe • Fi • Fo • Fum • Fiddle • Fruit • Folks • Fist
Fe fiddle-fiddle-fe Fi fiddle-fiddle-fi Fo fiddle-fiddle-fo Fum fiddle-fiddle-fum Fiddle fiddle-fiddle-fiddle Fiddle-fe fiddle-fiddle-fiddle-fe Fiddle-fi fiddle-fiddle-fiddle-fi Fiddle-fo fiddle-fiddle-fiddle-fo Fiddle-fum fiddle-fiddle-fiddle-fum Fiddle-fiddle fiddle-fiddle-fiddle-fiddle
Fe fi-fiddle-fe Fi fi-fiddle-fi Fo fi-fiddle-fo Fum fi-fiddle-fum Fiddle fo-fiddle Fiddle-fe fo-fiddle-fe Fiddle-fi fo-fiddle-fi Fiddle-fo fo-fiddle-fo Fiddle-fum fo-fiddle-fum Fi-fiddle fum-fiddle
Additive Number System M M M N N N N ^ ^ ^ ^ l l l M M N N N l l l l
Use a Multiplier M M M N N N N ^ ^ ^ ^ l l l M M N N N l l l l
Positional Number System M M M N N N N ^ ^ ^ ^ l l l M M N N N l l l l
Egyptian Number SystemPage 144 • Additive System
Million Man! • How Much is Million by David M. Schwartz • www.davidschwartz.com • If You Made a Million • The Magic of a Million Activity Book • Millions to Measure • If You Hopped Like a Frog • G is for Googol
Millions Poster • Collecting a Million Pennies • Sharing “Millions” with the Elementary School • Collecting a Million Pennies in High School • Spending a Million Dollars
Babylonian Number System < < < l l l l < < < < < < l l l l l l l < < l l l l < < < < l l l l l
Mayan Number SystemPage 146 • As early as 200 BC, these resourceful people had developed a remarkably advanced society. • They were the first Native Americans to develop a system of writing and to manufacture paper and books. • Their calendar was very accurate, with a 365 day year and a leap year every fourth year.
Roman Numerals • Addition Principle • Subtraction Principle • The only things that can be subtracted are 1, 10, and 100 (I, X, and C). • You show subtraction by placing a smaller symbol to the left of a larger symbol. You may only subtract one symbol at a time. • You will write one place value at a time.
Roman Numerals • Subtraction Principle • I can only be subtracted from V and X • X can only be subtracted from L and C • C can only be subtracted from D and M
I II III IV (the one that comes before 5) V VI (the one that comes after 5) VII VIII IX (the one that comes before 10) X
I X II XX III XXX IV XL V L VI LX VII LXX VIII LXXX IX XC X C
I X C II XX CC III XXX CCC IV XL CD V L D VI LX DC VII LXX DCC VIII LXXX DCCC IX XC CM X C M
Multiplication Principal • 649 =
Multiplication Principal • 649 = DCXLIX • 649,000 = DCXLIX
Multiplication Principal • 649 = DCXLIX • 649,000 = DCXLIX • 649,428 =
Multiplication Principal • 649 = DCXLIX • 649,000 = DCXLIX • 649,428 = DCXLIXCDXXVIII • 649,000,000 =
Multiplication Principal • 649 = DCXLIX • 649,000 = DCXLIX • 649,428 = DCXLIXCDXXVIII • 649,000,000 = DCXLIX
Test - Chapter 2 • http://mcis.jsu.edu/faculty/mjohnson/ms133r2.html
Base 10 Number System 10 digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Base 10 Number System hundredten millions thousands thousands thousands hundreds tens ones ____ , ____ ____ ____ , ____ ____ ____
Base 10 Number System hundred ten hundredten millions millions millions thousands thousands thousands hundredstensones _________ , ______ ___ , _________
Ones • Tens • Hundreds • Thousands • Ten Thousands • Hundred Thousands
Millions • Ten Millions • Hundred Millions • Billions • Ten Billions • Hundred Billions
Trillions • Ten Trillions • Hundred Trillions • Quadrillions • Ten Quadrillions • Hundred Quadrillions
Quintillions • Ten Quintillions • Hundred Quintillions • Sextillions • Ten Sextillions • Hundred Sextillions
Septillions • Ten Septillions • Hundred Septillions • Octillions • Ten Octillions • Hundred Octillions
Nonillions • Ten Nonillions • Hundred Nonillions • Decillions • Ten Decillions • Hundred Decillions
Googol 10,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000