MA 137 Notes Lessons 4, 5, 6
MA 137 Notes Lessons 4, 5, 6 MA 137
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This 7 page Class Notes was uploaded by Danielle Gilbert on Thursday February 5, 2015. The Class Notes belongs to MA 137 at Purdue University taught by Renee Figueroa in Spring2015. Since its upload, it has received 191 views. For similar materials see Math for Elementary Teachers in Math at Purdue University.
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Date Created: 02/05/15
MATH 137 LESSON 4 SECTIONS 21 amp 22 There are two kinds of systems place value and additive sys rems Addi rive Number can be Found by adding the values For the symbols You can switch up the numbers just add l39ogel39her Place Value Determined by position in numeral Egyp rian Coun ring Sys rem Don39f memorize jus r For your knowledge Ones I S raFF tens n Heelbone 1 0039s 9 Scroll 1 0005 2 Lo rus Flower 1 000039s I Poin ring Finger q Polliwog 1 As ronished Person Roman Numerals Addi rive Sys rem V X L C D M One Five Ten Fifty 100 500 1000 Some Tips and Examples 1 A letter repea rs its value that many times XXX 30 CC 200 e rc A letter can only be repeated three times 2 IF one or more letters are placed after ano rher letter of grea rer value add that amount VI 6 5 l 6 LXX 70 50 10 10 70 MCC 1200 1000 100 100 1200 3 IF a letter is placed before ano rher letter of grea rer value sub rrac r that amount IV 4 5 1 4 XC 90 100 10 90 CM 900 1000 100 900 More examples MMCXIII 2113 LXIX 49 CMIII 903 78 LXXVIII 444 CDXLIV Babylonian Number Sys rem Place Value Sys rem l y m g 0 ltlt wo three twelve twenty In class we drew them more as l mm um 11 3225 sixty sixty five one hundred one hundred twenty l 1 39lt lt 39 50000 Big space Big Space lt 45 Being able to write out numbers will help you in the nex r couple lessons to be able to determine place value 5239180647 FiF ryfwo rhousands three hundred nine ryone and eigh ry rhousand rhs six hundred For ryseven hundred rhs Decimal Remember ro hyphena re all compound numbers From rwen ry one rhrough nine ry nine 200003 two hundred and three rhousand rhs MATH 137 LESSON 5 SECTION 23 This lesson is a li r rle diF cul r understanding bases will help you in the nex r couple oF lessons The rst rhing to understand is that we have 10 ngers and we count in base ren So say an alien has only 7 ngers i r would count in base seven Here is a simple visual of different bases with 10 ngers BASE 10 L 139 l l I flquot quotI BASE 4 itquot HP 391 IN BASE SYSTEMS THE HIGHEST DIGIT YOU CAN USE IS ONE LESS THAN THE BASE Why When we count in base 10 1 2 3 4 5 6 7 8 9 there is no SINGLE number For ren so we have to go back to the beginning to l and add the zero because we do not have any more single numbers Firs r le rs learn with pic rures iiiiii i iiiii Once we gel39 fo the number of the base say 3 we make a new group just like we do when we gel39 to 10 in base ren How many groups oF 3 is there above 3 So that would go in the quottensquot place and there is 1 left over That would go in the quotonesquot place So 10 apples in base 3 would read 31 base rhree rhree one base rhree Now conver ring From a base back to base 10 Wri ring the lines under each number is helpful g g l lbase three 31 339 3 13 2x31 2x3 1x1 13 18 6 1 13 25 13 base l39en Here is a Youl39ube video to help iF confused h r rpyou rubePI7ZX3 UiXA Thanks to HCCMa thelp MATH 136 LESSON 6 SECTION 24 Operations in Different Bases To add and subtract in other bases i have Found the easiest way is to add in base pieces An example is 3 unit rod or long Block block M long m So with the problem 34 ve 12 ve 101 ve I would set it up like so 3412 n 38 1373quot I Start to the right and go left Once you get a group oF the base number in this case 5 you transfer that into the next group So in this case you would change the group oF units into a long Then there becomes 5 longs so you would change that into one at Then total it all up We have 1 at zero longs and 1 unit That would make this answer 101 base ve REMEMBER PICTURES ARE NOT CHEATING
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