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What does it mean to say the order of operation is commutative?
Wiki User
∙ 10y ago
Multiplication and addition of ordinary numbers is commutative:
2 + 3 = 3 + 2 = 5
5 * 7 = 7 * 5 = 35
It would be easy to jump to the conclusion that 'everything' is. But operations on clothes aren't:
put on socks + put on shoes = ok
put on shoes + put on socks = not so ok
Wiki User
∙ 10y ago
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What is the definition of the communative property in math?
The commutative property of an operation ~, defined on a set S requires that: for any two elements of S, say x and y, x ~ y = y ~ x Familiar examples are ~ = addition or multiplication and S is a subset of numbers. But note that multiplication is not commutative over matrices.
Why is commutative property not applicable in division?
One counterexample should be enough to disprove such an assumption. For example, 2 / 1 = 2, while 1 / 2 = 0.5. The two are not the same, ergo, the commutative property doesn't apply.Let's say that there is no statement or theorem in the sense that every operation is commutative; some are, some aren't. By the way, you can convert any division into a multiplication - in which case it IS commutative. For example, 5 divided by 2 is the same as 5 times 1/2; the multiplication 5 times 1/2 is the same as 1/2 times 5.
What is 56 and 44 equals?
I'm not sure what arithmetic operation you mean when you say "and". I only see a list of two numbers.
What is the commutative property of addition?
The commutative property of addition tells us that if "a" and "b" are numbers, then the value of the sum a + b is the same as the value of the sum b + a. A concrete example is that 9 + 1 = 1 + 9. We say that 9 and 1 commute over the + sign: they can switch places and the value of the sum will remain the same. The meaning of commutative remains the same in all mathematics. For example, we say multiplication of real numbers is commutative because a*b = b*a for any two real numbers "a" and "b". You may wonder why we feel the need to name such an "obvious" property. As you study more advanced mathematics, you will come across certain operations that are not commutative, and certain types of mathematical objects that do not commute with + or *.
What does the word commutative property of addition mean?
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2. Any time they refer to the Commutative Property, they want you to move stuff around; any time a computation depends on moving stuff around, they want you to say that the computation uses the Commutative Property.Use the Commutative Property to restate "3×4×x" in at least two ways.They want you to move stuff around, not simplify. In other words, the answer is not "12x"; the answer is any two of the following:4 × 3 × x, 4 × x × 3, 3 × x × 4, x × 3 × 4, and x × 4 × 3Why is it true that 3(4x) = (4x)(3)?Since all they did was move stuff around (they didn't regroup), this is true by the Commutative Property.http://www.purplemath.com/modules/numbprop.htm
What does it mean to say that an operation is commutative?
It means the operation has two sub-operations and it does not matter in which order they are done. An example is the addition of two numbers (but not the subtraction). For example, 2+1=3, but also 1+2=3 so adding 1 and 2 is commutative.
What does it mean to say an operation is commutative?
An operation is commutative if the order of the operands doesn't matter. eg addition and multiplication are commutative as: 1 + 5 = 5 + 1 = 6 2 × 6 = 6 × 2 = 12 Subtraction and division are NOT commutative as the order does matter. eg 4 - 1 = 3, but 1 - 4 = -3 which is not the same. eg 12 ÷ 3 = 4, but 3 ÷ 12 = ¼ = 0.25 which is not the same. This latter explains why it is important for common understanding when reading expressions, especially divisions. In English 12 ÷ 4 is read as "12 divided by 4". In other languages this is not the same. I have met a native Spanish speaker (with English as a second language) reading 12 ÷ 4 as "4 divided by 12" but doing the correct calculation to get the correct value of 3.
What is the definition of the communative property in math?
The commutative property of an operation ~, defined on a set S requires that: for any two elements of S, say x and y, x ~ y = y ~ x Familiar examples are ~ = addition or multiplication and S is a subset of numbers. But note that multiplication is not commutative over matrices.
How do you say operation in Japanese?
Shujutsu- surgery/operation
Why is commutative property not applicable in division?
One counterexample should be enough to disprove such an assumption. For example, 2 / 1 = 2, while 1 / 2 = 0.5. The two are not the same, ergo, the commutative property doesn't apply.Let's say that there is no statement or theorem in the sense that every operation is commutative; some are, some aren't. By the way, you can convert any division into a multiplication - in which case it IS commutative. For example, 5 divided by 2 is the same as 5 times 1/2; the multiplication 5 times 1/2 is the same as 1/2 times 5.
Is subtraction commutive?
No.The binary operation of subtraction (really adding a negative number) is NOT commutative.Let's say * is the binary operation of subtraction (really addition): such thata*b = a - b or more correctly: a + (-b).Let's assume it is commutative, Then a*b = b*aLet's find any counter example to show that this not the case:a=1b=41 + (-4) =/= 4 + -1-3 =/= 3
What is 56 and 44 equals?
I'm not sure what arithmetic operation you mean when you say "and". I only see a list of two numbers.
How do you say to order for in Spanish?
If you mean 'to order for/on behalf of': pedir en nombre de
The commutative property of addition allows one to say that 3 plus 6 is the same as what?
3+6=6+3 3 plus 6 equals 6 plus 3 Commutative is just the two numbers in an addition equation reversed.
What is the commutative property of addition?
The commutative property of addition tells us that if "a" and "b" are numbers, then the value of the sum a + b is the same as the value of the sum b + a. A concrete example is that 9 + 1 = 1 + 9. We say that 9 and 1 commute over the + sign: they can switch places and the value of the sum will remain the same. The meaning of commutative remains the same in all mathematics. For example, we say multiplication of real numbers is commutative because a*b = b*a for any two real numbers "a" and "b". You may wonder why we feel the need to name such an "obvious" property. As you study more advanced mathematics, you will come across certain operations that are not commutative, and certain types of mathematical objects that do not commute with + or *.
How do you get description for Pokemon Platinum?
If you mean to say "How do you get the description of the pokemon in Pokemon Platinum?" then I would say that you have to catch them in order to see their description. If that is not what you mean to say then I am confused and can not help you.
What does the word commutative property of addition mean?
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2. Any time they refer to the Commutative Property, they want you to move stuff around; any time a computation depends on moving stuff around, they want you to say that the computation uses the Commutative Property.Use the Commutative Property to restate "3×4×x" in at least two ways.They want you to move stuff around, not simplify. In other words, the answer is not "12x"; the answer is any two of the following:4 × 3 × x, 4 × x × 3, 3 × x × 4, x × 3 × 4, and x × 4 × 3Why is it true that 3(4x) = (4x)(3)?Since all they did was move stuff around (they didn't regroup), this is true by the Commutative Property.http://www.purplemath.com/modules/numbprop.htm
