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 ... – PowerPoint PPT presentation
14 Babylonian Number System 15 Babylonian Number System 16 Babylonian Number System
17 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.
18 Mayan Number System 19 Mayan Number System 20 Roman Numerals 21 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.
22 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
23
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
24
I X
II XX
III XXX
IV XL
V L
VI LX
VII LXX
VIII LXXX
IX XC
X C
25
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
26
Write 1469 using Roman Numerals
27
Write MMMCMXCIX as a Hindu Arabic Number.
28 Multiplication Principal
649
29 Multiplication Principal
649 DCXLIX
649000 DCXLIX
30 Multiplication Principal
649 DCXLIX
649000 DCXLIX
649428
31 Multiplication Principal
649 DCXLIX
649000 DCXLIX
649428 DCXLIXCDXXVIII
649000000
32 Multiplication Principal
649 DCXLIX
649000 DCXLIX
649428 DCXLIXCDXXVIII
649000000 DCXLIX
33 Hindu-Arabic NumbersPage 149 34 Homework QuestionsChapter 2 35 (No Transcript) 36 (No Transcript) 37 Venn Diagram Lab Answers 38 Test - Chapter 2
http//mcis.jsu.edu/faculty/mjohnson/ms133r2.html
39 Day 2 40 Set Theory Test 41 Base 10 Number System
10 digits 0 1 2 3 4 5 6 7 8 9
42 Base 10 Number System
hundred ten
millions thousands thousands thousands hundreds tens ones
____ ____ ____ ____ ____ ____ ____
43 Base 10 Number System
hundred ten hundred ten
millions millions millions thousands thousands thousands hundreds tens ones
___ ___ ___ ___ ___ ___ ___ ___ ___
44
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
45
Millions
Ten Millions
Hundred Millions
Billions
Ten Billions
Hundred Billions
46
Trillions
Ten Trillions
Hundred Trillions
Quadrillions
Ten Quadrillions
Hundred Quadrillions
47
Quintillions
Ten Quintillions
Hundred Quintillions
Sextillions
Ten Sextillions
Hundred Sextillions
48
Septillions
Ten Septillions
Hundred Septillions
Octillions
Ten Octillions
Hundred Octillions
49
Nonillions
Ten Nonillions
Hundred Nonillions
Decillions
Ten Decillions
Hundred Decillions
50 Googol
10000000000000000000000000
000000000000000000000000000
000000000000000000000000000
000000000000000000000
51 Googol-plex 52
The I Hate Mathematics Book
by Marilyn Burns
Math for Smarty Pants by Marilyn Burns
Spaghetti and Meatballs for All!
by Marilyn Burns
The mms Counting Book
by Barbara Barbieri McGrath
Counting Kisses by Karen Katz
Math Potatoes by Greg Tang
Millions of Cats by Wanda Gag
53 Expanded Notation
Expanded Notation tells what the number means.
25683
54 Expanded Notation
25683 20000 5000 600 80 3
25683 (2 x 10000) (5 x 1000)
(6 x 100) (8 x 10) (3 x 1)
25683 (2 x 104) (5 x 103) (6 x 102)
(8 x 101) (3 x 100)
55 Reading Numbers
25 638
Twenty five thousand six hundred thirty-eight
56 Reading Numbers
25 638 304
Twenty five million six hundred thirty-eight thousand three hundred four
57 Models for Numeration Lab 58 8 beans 6 longs 5 flats Exchange pieces for an equivalent collection (one that has the same number of beans) using the least number of pieces. 1 Long-flat 1 Flat 2 Longs 3 beans 59 2 Long-flats 3 Longs and 4 beans How many beans total 269 beans 60 Make a collection of 42 beans using the least number of pieces possible. 61 Make a collection of 42 beans using the least number of pieces possible. 62
Begin with 1 Long-flat. Trade in as needed to give away 12 beans.
Whats left 63 4 Flats 2 Longs 3 Beans 64 Base Five
128 Napiers Bones 129 64 x 36 130 64 x 36 131 64 x 36 2304 132 Lattice Multiplication98 x 47 133 Lattice Multiplication98 x 47 4606 134 Lattice Multiplication576 x 49 135 Lattice Multiplication576 x 49 28224 136 Egyptian Multiplication22 x 28 137 22 x 28 616
1 28
2 56
4 112
8 224
16 448
448
112
56
616
138 22 x 28
1 28
2 56
4 112
8 224
16 448
22 x 28 (16 4 2) x 28
139 22 x 28
1 28
2 56
4 112
8 224
16 448
22 x 28 (16 4 2) x 28
(16 x 28) (4 x 28) (2 x 28)
140 22 x 28 616
1 28
2 56
4 112
8 224
16 448
22 x 28 (16 4 2) x 28
(16 x 28) (4 x 28) (2 x 28)
448 112 56
616
141 Egyptian Multiplication48 x 65 142 Egyptian Multiplication48 x 65 3120
1 65
2 130
4 260
8 520
16 1040
32 2080
2080
1040
3120
143 Russian Peasant Multiplication32 x 45 144 Russian Peasant Multiplication32 x 45 1440
32 45
16 90
8 180
4 360
2 720
1 1440
145
32 45 32 x 45
16 90
8 180
4 360
2 720
1 1440
146
32 45 32 x 45
(16 x 2) x 45
16 90
8 180
4 360
2 720
1 1440
147
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90
8 180
4 360
2 720
1 1440
148
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
8 180
4 360
2 720
1 1440
149
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
(8 x 2) x 90
8 x (2 x 90)
8 180
4 360
2 720
1 1440
150
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
(8 x 2) x 90
8 x (2 x 90)
8 180 8 x 180
4 360
2 720
1 1440
151
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
(8 x 2) x 90
8 x (2 x 90)
8 180 8 x 180
(4 x 2) x 180
4 x (2 x 180)
4 360
2 720
1 1440
152
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
(8 x 2) x 90
8 x (2 x 90)
8 180 8 x 180
(4 x 2) x 180
4 x (2 x 180)
4 360 4 x 360
2 720
1 1440
153
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
(8 x 2) x 90
8 x (2 x 90)
8 180 8 x 180
(4 x 2) x 180
4 x (2 x 180)
4 360 4 x 360
(2 x 2) x 360
2 x (2 x 360)
2 720
1 1440
154
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
(8 x 2) x 90
8 x (2 x 90)
8 180 8 x 180
(4 x 2) x 180
4 x (2 x 180)
4 360 4 x 360
(2 x 2) x 360
2 x (2 x 360)
2 720 2 x 720
1 1440
155
32 45 32 x 45
(16 x 2) x 45
16 x (2 x 45)
16 90 16 x 90
(8 x 2) x 90
8 x (2 x 90)
8 180 8 x 180
(4 x 2) x 180
4 x (2 x 180)
4 360 4 x 360
(2 x 2) x 360
2 x (2 x 360)
2 720 2 x 720
(1 x 2) x 720
1 x (2 x 720)
1 1440 1 x 1440
156 Russian Peasant Multiplication48 x 65 157 Russian Peasant Multiplication48 x 65 3120
48 65
24 130
12 260
6 520
3 1040
1 2080
2080
1040
3120
158
48 65 48 x 65
24 130
12 260
6 520
3 1040
1 2080
159
48 65 48 x 65
24 130 24 x 130
12 260
6 520
3 1040
1 2080
160
48 65 48 x 65
24 130 24 x 130
12 260 12 x 260
6 520
3 1040
1 2080
161
48 65 48 x 65
24 130 24 x 130
12 260 12 x 260
6 520 6 x 520
3 1040
1 2080
162
48 65 48 x 65
24 130 24 x 130
12 260 12 x 260
6 520 6 x 520
3 1040 3 x 1040
1 2080
163
48 65 48 x 65
24 130 24 x 130
12 260 12 x 260
6 520 6 x 520
3 1040 3 x 1040
(2 1) x 1040
1 2080
164
48 65 48 x 65
24 130 24 x 130
12 260 12 x 260
6 520 6 x 520
3 1040 3 x 1040
(2 1) x 1040
(2x1040)(1x1040)
1 2080
165
48 65 48 x 65
24 130 24 x 130
12 260 12 x 260
6 520 6 x 520
3 1040 3 x 1040
(2 1) x 1040
(2x1040)(1x1040)
1 2080 (1x2080)(1x1040)
166 Mental Math
The ability to make accurate estimates and do mental arithmetic is increasingly important in todays society.
It is essential that the basic addition and multiplication facts be memorized since all other numerical calculations and estimations depend of this foundation.
167 Mental Math
This should NOT be rote memorization of symbols. Students should experience the facts by frequent use of manipulatives games puzzles and problem solving activities.
In the same way students learn basic properties of whole numbers and use them to figure out any fact they may have forgotten.
168 Mental Math
One digit facts and the properties of whole numbers are the basis for mental calculations.
169 Mental Math
Using Easy Combinations
35 7 15
170 Mental Math
Using Easy Combinations
Using Adjustments in Mental Calculations
57 84
171 Mental Math
Using Easy Combinations
Using Adjustments in Mental Calculations
57 84
83 - 48
172 Mental Math
Using Easy Combinations
Using Adjustments in Mental Calculations
Working From Left to Right
352 647
173 Mental Math
Using Easy Combinations
Using Adjustments in Mental Calculations
Working From Left to Right
352 647
739 - 224
174 Mental Math
Using Easy Combinations
Using Adjustments in Mental Calculations
Working From Left to Right
352 647
739 224
4 x 235
175
8 3 4 6 7 12 4 3 6 3
176
25 x 8
177
4 x 99
178
57 - 25
179
47 x 5
180
286 347
181
493 x 7
182 Rounding
When we are asked to round 5842 to the nearest thousand it is because we want something close to 5842 without any small pieces. We dont want anything any smaller than a group of a thousand.
5842 is between 5000 and 6000. Which one is it closest to
183
5842 to the nearest thousand
5842 6000
184
67498499 to the nearest thousand
67498499 is between
67498000 and 67499000
Which one is it closer to
To the nearest thousand
67498499 67498000
185
Round 524 to the nearest hundred
524500
Round 587 to the nearest hundred
587600
Round 549 to the nearest hundred
549500
Round 550 to the nearest hundred
550600
Round 551 to the nearest hundred
551600
186 5-Up RulePage 201 187
Round 549 to the nearest hundred
549500
Round 550 to the nearest hundred
550500
Round 551 to the nearest hundred
551600
188 Round 29853 to the position indicated.
Ten thousand
30000
Thousand
30000
Hundred
29900
Ten
29850
189 Approximate By Rounding 2954 482 82
Round to the nearest thousand
3000 0 0
Round to the nearest hundred
3000 500 100
Round to the left-most digit
3000 500 80
190 Round to the left-most digit to find approximate answer.
2681 241
3000 200 3200
2681 241
3000 200 2800
2681 x 241
3000 x 200 600000
57801 336
60000 300 200
191 I have . . . Who has . . . 192 Math and MusicThe Magical Connection!
Scholastic Parent and Child Magazine
Spelling
Phone Numbers
School House Rock
193 Skip to My Lou
Chorus Times facts theyre a breeze
Learn a few then work on speed.
Times facts youll be surprised
By just how fast you can memorize.
194
3 time 7 is 21
Now at last weve all begun.
4 times 7 is 28
Lets sing what we appreciate.
(Chorus)
5 times 7 is 35.
Yes by gosh were still alive.
6 times 7 is 42.
I forgot what were supposed to do.
(Chorus)
About PowerShow.com
PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.
You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!
For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!