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Topic: Order of operations

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	Order of operations - Wikipedia, the free encyclopedia
		In arithmetic and algebra, certain rules are used for the order in which the operations in expressions are to be evaluated.
		The chart which gives the order of operations can help in remembering that roots and exponents distribute over multiplication and division, while multiplication and division distribute over addition and subtraction.
		For a rationale behind the use of the order of operations, see Math and Text.
	en.wikipedia.org /wiki/Order_of_operations (1015 words)

	PlanetMath: order of operations (Site not responding. Last check: 2007-11-07)
		The problem arises because expressions consist of operators applied to variables or values (or other expressions) that each demand individual evaluation, yet the order in which these individual evaluations are done leads to different outcomes.
		Completely new operations are typically assumed to have the highest priority, but the definition of the operation should be accompanied by some sort of explanation of how it is evaluated in relation to itself.
		This is version 3 of order of operations, born on 2003-01-31, modified 2004-07-14.
	planetmath.org /encyclopedia/OrderOfOperations.html (576 words)

	Order of Operations
		Order of Operations are the steps to evaluating an expression that has more than one of the four basic operations.
		Order of operations ensures that there is only one answer to an expression.
		In this phrase the first letter to each word, which are underlined, represents the order of operations.
	www.jscc.cc.al.us /ita/projects/zeinu_tamimu/order_of_operations.htm (439 words)

	Math Forum: Ask Dr. Math FAQ: Order of Operations
		The order of operations in which one is to interpret a mathematical expression such as
		Another way of saying this is that rather than being inherent in the structure of mathematics, the concept of "order of operations" is a matter of mathematical notation.
		In questions where order of operations must be considered, logs, trig functions, and expressions involving e are all treated as functions.
	forum.swarthmore.edu /dr.math/faq/faq.order.operations.html (588 words)

	GROUPS, THEORY - Online Information article about GROUPS, THEORY
		Two continuous groups of order r, whose infinitesimal operations obey the same system of equations (iii.), may be of very different form; for instance, the number of variables for the one may be different from that for the other.
		An operation of a discontinuous group must necessarily be specified analytically by a system of equations of the form x'1=fe(x', x2,..., x„ ; al, a2,..., a.), (s = I, 2,..., n), and the different operations of the group will be given by different sets of values of the parameters a1, a2,...
		The isomorphism is multiple, since to a single operation of the second set there correspond the two operations of the first for which a, b, c, d and -a, -b, -c, -d are parameters.
	encyclopedia.jrank.org /GRA_GUI/GROUPS_THEORY.html (8639 words)

	order of operations in mathematics - All order All The Time
		inherent in the structure of mathematics, the concept of "order of operations" is a matter of mathematical notation.
		Order of Operations is the Grammer of Mathematics.
		Order of Operations is the Grammar of Mathematics.
	www.assalibya.com /in-order/order-of-operations-in-mathematics.html (549 words)

	Order of Operations
		Order of Operations is the standard method in evaluating arithmetic expressions.
		Without the order of operations, students may obtain different answers to the same expression, depending on the student's preference in order in evaluating
		Basically, the order of operations tells of the order, in which the student should first approach operations such as parentheses, division, multiplication, subtraction and addition.
	www.algebra-help.info /order-of-operations.php (411 words)

	Order of operations (Site not responding. Last check: 2007-11-07)
		Because of the order ' P arentheses, E xponentiation, M ultiplication/ D ivision, A ddition/ S ubtraction, the mnemonic " P lease E xcuse M y D ear A unt S ally" is sometimes used as an aid in learning this sequence.
		Order of Operations are presented in this interactive lesson from Math Gooodies.
		SAS Operations A description of SAS operations during the Falklands war.
	www.serebella.com /encyclopedia/article-Order_of_operations.html (1349 words)

	Order of Operations
		ORDER OF When a numerical expression involves two or more operations, there is a specific order in which these operations must be performed.
		Remember, if the operations are written next to each other work from left to right and check off the last two boxes.
		Order of Operations is not an isolated skill.
	regentsprep.org /Regents/math/orderop/Lorder.htm (281 words)

	Course Syllabus - Lee College (Site not responding. Last check: 2007-11-07)
		Use the order of operations to simplify expressions involving fractions, whole number exponents, grouping symbols, and the four basic arithmetic operations.
		Use the order of operations to simplify expressions involving decimals, whole number exponents, grouping symbols, and the four basic arithmetic operations.
		Use the order of operations to simplify expressions involving rational numbers, whole number exponents, grouping symbols, and the four basic arithmetic operations.
	www.lee.edu /syllabus_descr.asp?CRSE_ID=001801 (565 words)

	Order of Operations
		In another order, one could multiply the three times two which is six and add on the five which would be eleven.
		While many number sentences will not contain all of these operations, all contain some combination of them and it is very important to know in which order to do things.
		An important note: Remember when there are several layers of parentheses, do the operations on the inner layers first and then work your way out to the operations in the outer layers.
	www.mcwdn.org /Algebra/OrderOper.html (316 words)

	The Order of Operations: PEMDAS
		To eliminate this confusion, we have some rules of precedence called "order of operations", the "operations" being addition, subtraction, multiplication, division, exponentiation, and grouping.
		A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally" (or, as my husband prefers, "Purple Elephants May Destroy A School").
		This tells you the ranks of the operations: Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank).
	www.purplemath.com /modules/orderops.htm (635 words)

	ORDER OF OPERATIONS
		ORDER OF OPERATIONS Bernice E. Holloway Bellwood School District #88 1801 N. 36th Avenue Stone Park, IL 60165 1-708-344-9344 OBJECTIVES: -to use grouping symbols and the standard order of operations to simplify numerical expressions.
		Whenever the order of operation is not indicated by grouping symbols, there is a standard order of operations to be followed.(Do exponents, multiplication/division, addition/subtraction from left to right.) In mathematics, more than in some other forms of written expression, ambiguity must be eliminated.
		Ambiguity is eliminated using grouping symbols and the order of operations rule.
	www.iit.edu /~smile/ma8620.html (710 words)

	Order of Operations - Free Math Help
		The order of operations is a very simple concept, but is vital to correctly doing math.
		It is simply the order in which you should perform certain operations (like addition) to get the right answer.
		The order of operations will allow you to solve this problem the right way.
	www.freemathhelp.com /order-of-operations.html (358 words)

	Order of Operations
		The order in which mathematical operations are performed must be the same in every case.
		This operation can be thought of as "combining like terms," which is the last thing to be done in the order of operations.
		Now, remember: when you simplify an expression encased in parentheses, you must use this order on the expression that is inside the parentheses.
	www.math.unt.edu /mathlab/emathlab/order_in_which_mathematical_oper.htm (348 words)

	Order of Operations
		When several math operations are combined in a single calculation, it can be tricky to decide which calculations to perform first.
		Sometimes parentheses are used to partially specify the order of operations.
		Nonetheless, even when parentheses are used, it is important to follow a standard order in performing math operations—otherwise different people might obtain different results.
	www.dtc.dla.mil /qa/oo.htm (88 words)

	Math Magic - Order Of Operations
		When working with equations involving different operations, there are certain rules you must follow to get the correct answer.
		A common way to remember the order of operations is by this sentence: Please Excuse My Dear Aunt Sally.
		a) According to the order of operations, we should calculate the exponents from the inside to the outside.
	www.math-magic.com /basic_memorization/order_operations.htm (573 words)

	Order of Operations
		Each letter represents an operation and the order in which we do them.
		If an operation wasn't present we just said "oh Eddie has off today" and moved on to the next in order.
		Operations that were not in the problem at hand had a slash through their initial.
	justdawne.tripod.com /order_of_operations.htm (852 words)

	Math Forum: Ask Dr. Math FAQ: Order of Operations
		Order of operations refers to which operations should be performed in what order, but it's just convention.
		The notation tells you which operations to do first, not something about the underlying mathematics.
		To get a number for an answer, you can only perform operations on numbers, so you have to evaluate all functions before you do anything with them.
	www.mathforum.com /dr.math/faq/faq.order.operations.html (588 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Order of operations are a set of rules that mathematicians have agreed to follow to avoid mass CONFUSION when simplifying mathematical expressions or equations.
		Key in mathematical in first box, order in second, and operations in third.
		A videotape is available that shows and explains the Order of Operations.
	ellerbruch.nmu.edu /classes/CS560W96/students/hmack/helen.htm (133 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-11-07)
		We have used this acronym for the order of operations for a long time to help remember the key words: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
		I have lately been teaching the order of operations as a list of 4 things rather than using pemdas.
		The only thing that makes this the correct order is that mathematicians all over the world agreed a long time ago to do it this way.
	mathforum.org /library/drmath/view/58770.html (413 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-11-07)
		Date: 11/22/2000 at 10:56:37 From: Brian Huffine Subject: History of Order of Operations I was teaching a computer class and the history of order of operations came up.
		The Order of Operations rules as we know them could not have existed before algebraic notation existed; but I strongly suspect that they existed in some form from the beginning - in the grammar of how people talked about arithmetic when they had only words, and not symbols, to describe operations.
		I suspect that the concept, and especially the term "order of operations" and the "PEMDAS/BEDMAS" mnemonics, was formalized only in this century, or at least in the late 1800s, with the growth of the textbook industry.
	www.mathforum.org /library/drmath/view/52582.html (732 words)

	Order of Operations (Site not responding. Last check: 2007-11-07)
		The left-to-right order does not matter if only multiplication is involved, but it matters for division.
		Calculator Note: Most modern calculators “know” the order of operations, and you can enter expressions pretty much as they are written.
		Some older calculators will carry out each operation as soon as its key is pushed, which can result in the operations being carried out in the wrong order.
	www.jamesbrennan.org /algebra/numbers/order_of_operations1.htm (542 words)

	algebra.help -- Order of Operations
		The Order of Operations is very important when simplifying expressions and equations.
		The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.
		Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.
	www.algebrahelp.com /simpoops.htm (303 words)

	MathSteps: Grade 4: Order of Operations: What Is It?
		Over time, mathematicians have developed a set of rules called the order of operations to determine which operation to do first.
		4 since order of operations requires you to begin on the left side of the expression and do multiplication or division (whichever comes first) before addition or subtraction.
		The order of operations states that operations inside parentheses are performed before operations outside the parentheses.
	www.eduplace.com /math/mathsteps/4/a (313 words)

	Whole Numbers and Their Basic Properties
		Addition and Multiplication are commutative: switching the order of two numbers being added or multiplied does not change the result.
		Addition and multiplication are associative: the order that numbers are grouped in addition and multiplication does not affect the result.
		The order of operations for complicated calculations is as follows:
	www.mathleague.com /help/wholenumbers/wholenumbers.htm (2880 words)

	Order of Operations
		When performing arithmetic operations there can be only one correct answer.
		Mathematicians have devised a standard order of operations for calculations involving more than one arithmetic operation.
		When two or more operations occur inside a set of parentheses, these operations should be evaluated according to Rules 2 and 3.
	www.mathgoodies.com /lessons/vol7/order_operations.html (563 words)

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