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Topic: Even and odd numbers


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  Even and Odd Numbers — FactMonster.com
Even numbers are numbers that can be divided evenly by 2.
Odd numbers are numbers that cannot be divided evenly by 2.
Likewise, 8,322 is an even number because it ends in 2.
www.factmonster.com /ipka/A0876700.html   (282 words)

  
  PlanetMath: even number
The concept of even and odd numbers are most easily understood in the binary base.
odd number, even integer, odd integer, even, odd
This is version 7 of even number, born on 2003-09-05, modified 2006-08-10.
planetmath.org /encyclopedia/Odd.html   (92 words)

  
 Odd and Even Numbers · Jelly and Custard
Odd and Even Numbers · Jelly and Custard
The reason the bitwise AND ("&") operator works to determine whether a number is odd or even is because odd numbers expressed in binary always have the rightmost (2^0) bit = 1 and even numbers always have the 2^0 bit = 0.
So if you do a " 1 & $num", it will return zero if the number is even (since xxxxxxx0 [the even number in binary] and 00000001 [the 1]) don't share any bits, and will return 1 if the number is odd (xxxxxx1 and 000001).
www.jellyandcustard.com /2006/07/13/odd-and-even-numbers   (0 words)

  
 SparkNotes: SAT Math Level 2: Numbers
Even numbers are those numbers that are divisible by two with no remainder.
Even numbers are numbers that can be written in the form 2n, where n is an integer.
Positive and negative numbers are governed by rules similar to those associated with even and odd numbers.
www.sparknotes.com /testprep/books/sat2/math2c/chapter4section2.rhtml   (766 words)

  
 Learning Math: Even and Odd Numbers
Thus, 2 is a factor of an even number.
Numbers that are not exactly divisible by 2 are called odd numbers.
Thus, 2 is not a factor of an odd number.
www.syvum.com /cgi/online/serve.cgi/squizzes/math/evenodd.tdf   (341 words)

  
 ARTSEDGE: String 'Em Up
All odd numbers are to be represented by red cubes and all even numbers are blue cubes.
All odd numbers are to be represented by red beads and all even numbers will be represented by blue beads.
Call a number, and have the children represent that number by stringing the correct color and number of beads on the string.
artsedge.kennedy-center.org /content/2091   (445 words)

  
 oddandevennumber
To determine if their birth date was an even or odd number the question was asked, "Is your birthday an odd or and even number?" Most of the children used Brandon's strategy--even numbers always end with a 0, 2, 4, 6, or 8 in the one's place.
She said her birth date was an odd number, but she could not explain the reason it was odd.
Ryan's solution to her problem was, "If it isn't even, don't worry, it has to be odd." Although most of the birth dates in my class are on even numbered days, many of the children seem to grasp at least one strategy to determine if a number is odd or even.
personal.bgsu.edu /~brahier/oddandevennumber.htm   (701 words)

  
 Even and Odd Numbers
Even numbers can be divided evenly into groups of two.
Even numbers always end with a digit of 0, 2, 4, 6 or 8.
Odd numbers always end with a digit of 1, 3, 5, 7, or 9.
www.aaamath.com /g25a2-evenodd.html   (0 words)

  
 Math notebook"Number Sense unit"Even and Odd topic
Identifying even and odd numbers is an important skill that children will need throughout their math education.
An odd number is not divisible evenly by two.
An odd number cannot be divided into pairs or two equal groups without leftovers.
www.brainpopjr.com /math/numbersense/evenandodd   (0 words)

  
 Mathematical Sequences and Number Patterns - Printables and Worksheets
Circle odd or even (numbers 1 to 29)
Circle odd or even (numbers 1 to 99)
Even and odd numbers: numbers 3 to 29
www.edhelper.com /sequences.htm   (0 words)

  
 Lotto, Lottery Strategy, Systems: Sum-total, Sums, Odd, Even, Low, High
The lotto number in the second position is LOW (1) in the vast majority of the drawings.
The lotto number in the second-to-last position is HIGH (2) in the vast majority of the drawings.
Even if such lotto software were completely free, you would waste a large amount of time for nothing.
www.saliu.com /strategy.html   (3978 words)

  
 One, Two Skip a Few-An Introduction to Even and Odd Numbers
Even numbers end in 0, 2, 4, 6, and 8 and odd numbers end in 1, 3, 5, 7, and 9.
Ask all of the students with odd numbers to stand on one side of the room and all the students with even numbers to stand on the opposite side of the room.
Ask the students with odd numbers to squat down and the students with even numbers to remain standing.
www.glc.k12.ga.us /BuilderV03/LPTools/LPShared/lpdisplay.asp?LPID=12277   (779 words)

  
 Is zero considered an even or odd number, or neither? | Answerbag.com   (Site not responding. Last check: )
The definition of "even" from mathworld.wolfram.com: An even number is an integer of the form, where k is an integer.
The even numbers are therefore..., -4, -2, 0, 2, 4, 6, 8, 10,...
An even number n for which also holds is called a singly even number, while an even number n for which is called a doubly even number.
www.answerbag.com /q_view/1377   (1499 words)

  
 Two Paradoxes
On the one hand, there must be an equal number of odd and even integers in the Collatz predecessor tree for the conjecture to be true because there are clearly an equal number of odds and evens among the integers.
Since the sum of the densities among all the positive integers of the odd numbers in the Collatz predecessor tree is 1/2, when we add in the equal-sized contributions of the series of powers of 2 multiples arrayed from each odd integer, we get exactly 1.
However, the density of the header extensions (congruent to 5 mod 8) among the odd integers is 1 in 4 and the density of the leaf nodes (congruent to 0 mod 3) among the odd integers is 1 in 3.
www-personal.ksu.edu /~kconrow/pathmags.html   (2413 words)

  
 Probability
A single outcome of this experiment is rolling a 1, or rolling a 2, or rolling a 3, etc. Rolling an even number (2, 4 or 6) is an event, and rolling an odd number (1, 3 or 5) is also an event.
However, the events even and odd are not equally likely to occur, since there are 3 odd numbers and only 2 even numbers from 1 to 5.
A number from 1 to 11 is chosen at random.
www.mathgoodies.com /lessons/vol6/intro_probability.html   (783 words)

  
 Introduction to Higher Mathematics--Sample Lesson
Merely demonstrating the truth of the theorem for some specific pair(s) of odd numbers is not sufficient proof.
Although the definition says that an odd number is of the form 2n + 1, we cannot use the same letter n in the representations of both x and y, since that would imply x = y.
Even though the answers may seem obvious, it is important to remember not to jump to conclusions based entirely on observations.
server1.fandm.edu /departments/Mathematics/A.Levine/ihmsample.html   (782 words)

  
 LESSON PLANS: 465 odd Lessons reviewed by Teachers   (Site not responding. Last check: )
Even or Odd Ball - Students play a whole-group game that help them further their understanding of the difference between odd and even numbers.
Even and Odd Numbers - Students recognize characteristics of odd and even numbers.
- Students divide a given number of manipulatives into groups of two, identifying the number as odd or even based on whether it can be divided into groups evenly or with one left over.
www.lessonplanet.com /search/newsearch?media=lessons&keywords=odd   (327 words)

  
 GENERALIZING AND PROGRESSIVELY FORMALIZING IN A THIRD-GRADE MATHEMATICS CLASSROOM: CONVERSATIONS
In particular, their activity of generalizing about even and odd numbers was based on diverse forms of reasoning, involved the algebraic treatment of the terms ‘even’ and ‘odd’ as placeholders, or variables, in generalized expressions, and extended across mathematical operations.
He used numbers in place of odd and even and said that it (using ‘odd’ and ‘even’) was the same as [using letters instead of numbers].
That is, they were able to reason with the general referent of ‘odd’ in the expression ‘odd+odd+odd’ (vs. specific sums of odd numbers, such as 1+5+7) to produce the generalization ‘the sum of any 3 odd numbers is odd’.
www.west.asu.edu /cmw/pme/resrepweb/PME-rr-blanton.htm   (1754 words)

  
 odd and even idea bank
The rectangles for the numbers 1-12 have both the number and that amount of small stickers lined up to visually show the one that doesn't have a partner if it is odd.
They should also be able to discuss that odd numbers end in 1,3,5,7,9 and that two equal groups are not possible; that odd numbers are the numbers that you do not say when counting by 2's.
On the topic of odd and even there is a strategy that is emphasized and the students really "get it." It is called "Odd Man Out." What you do is you call out a number, say 6.
www.mathcats.com /grownupcats/ideabankoddandeven.html   (1367 words)

  
 Math Help - Speed Arithmetic - Multiplication by Six
The next number is 8 (an even number), and its neighbor is 7, so ``half'' of 7 is 3.
Finally, the next number is 0 (even number), and its neighbor is 6, so ``half'' of 6 is 3.
The next-to-last number is 0 (even) with neighbor 5.
www.hyper-ad.com /tutoring/math/algebra/Trachtenberg/Multiply_by_Six/mult_by_6.html   (1499 words)

  
 Math Forum - Ask Dr. Math
Numbers that can be evenly divided by two are even, and those that can't are odd.
Since every number can either be divided by two or not, every number is either even or odd.
The word "even" may come from the fact that it can be divided into two level or uniform (or "even") amounts.
www.mathforum.org /library/drmath/view/57084.html   (227 words)

  
 Lesson Plans
Content Standard IV, 2: Students recognize that numbers are used in different ways such as counting, measuring, ordering, and estimation, understand and produce multiple representations of a number, and translate among equivalent representations.
Classify numbers as odd or even and explore concepts of factors and multiples.
The students are familiar with the concept of odd and even numbers as a result of instruction from their math textbooks.
www.macomb.k12.mi.us /eastdet/Plans/EL-mathOddEv.htm   (351 words)

  
 Grade 2: Odd and even numbers
Ask students to identify the odd and even numbers and to explain why they are odd or even.
Ask students to indicate whether each number is odd or even and to explain by using a diagram.
Have students investigate what happens when: (1) two odd numbers are added, (2) two even numbers are added, (3) an odd and even number are added, and (4) an even and odd number are added.
io.uwinnipeg.ca /~jameis/PAGES/EYR63.html   (644 words)

  
 odd, even numbers in quilt design   (Site not responding. Last check: )
Odd numbers (1, 3, 5, 7, 9, 11, 13) of objects are simply more intriguing than even numbers (2, 4, 6, 8, 10, 12).
Within a square quilt, an odd number of blocks will be more exciting to look at than an even-numbered arrangement.
In addition to using odd numbers of blocks in the length and width of your quilts, you can use odd-numbered configurations within the blocks themselves.
www.ptialaska.net /~rcoghill/odd.html   (277 words)

  
 Math Is Fun Forum / imaginary numbers
Generally the portion bi would be ignored except when even powers of i appear, then portions of the imaginary part are added to the real part.
I read that all real numbers are also complex numbers (where b is 0) but the reverse is not true.
The imaginaries are not a field, a ring or even a group, as we agreed.
www.mathsisfun.com /forum/viewtopic.php?pid=38894   (1265 words)

  
 Even and Odd Numbers
The concept of even and odd numbers should be revisited daily for the remainder of the year.
Go around the room and ask the students to share with the class whether their group had an even number or an odd number of beans.
Next, call out a number and have the student partners take turns counting out that number of beans and determine if the number you called out is even or odd.
www.glc.k12.ga.us /BuilderV03/LPTools/LPShared/lpdisplay.asp?LPID=12283   (864 words)

  
 SparkNotes: Numbers & Operations: Odd and Even Numbers
Even numbers are numbers that divide by 2 without leaving a remainder.
Odd numbers are the numbers that, when divided by 2, leave a remainder of 1.
So zero is the only number that has a strange property in terms of odd and even.
www.sparknotes.com /testprep/books/newsat/powertactics/numop/chapter2section3.rhtml   (214 words)

  
 Even and Odd numbers - ProTeacher Community
I have a child that has difficulty memorizing which numbers are odd and which are even.
We have taught himto think about numbers that have pairs ie: 2+2 is an even number and ones that do not are odd.
We have also begun to show him with manipulatives (unifix cubes) a tower of the number split in half so that it is either even or odd.
www.proteacher.net /discussions/showthread.php?p=166673   (127 words)

  
 MMM Project - V-Patterns, Beams, Hair & Nails, teacher pages 7
One number is even and one number is odd.
Overview A further exploration of the sums of even and odd numbers is supported by using dot numbers and the concept of pairing.
Students apply their understanding of the properties of odd and even numbers in a more complex situation.
mmmproject.org /vp/tp7.htm   (294 words)

  
 Odd and Even Numbers
Objective: Students will be able to understand the concepts of odd, even numbers, and their operations.
Odd and Even Numbers only apply to integers.
Odd Number: A number that can not be evenly divided by 2.
www.gomath.com /htdocs/lesson/oddeven_lesson1.htm   (93 words)

  
 Easy Evens and Odds - Math Lesson Plan, Thematic Unit, Activity, Worksheet, or Teaching Idea
So, you will be saying odd numbers, and your students will be saying even numbers.
Continue with this pattern, and even try having the students split into two groups, with one group saying odds and the others even.
As your students can easily recognize the 5 even and odd numbers, instruct them how to determine the value of two and three digit numbers.
www.lessonplanspage.com /MathEasyEvensAndOdds23.htm   (350 words)

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