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What else is there besides the commutative and distributive property?
Wiki User
∙ 13y ago
dont forget the additive and the inverse
Wiki User
∙ 13y ago
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What is the property called commutative property of addition?
Here is a bit more information than you asked for:The commutative property is stated as: a+b=b+a, or ab = ba. Notice that the numbers (a and b) move back and forth. Think of a commuter, who travels back and forth to work each day.The associative property is stated as: (a+b)+c=a+(b+c) or (ab)c = a(bc). In this case the parentheses move back and forth, so you might want to call it the commutative property too! But there's something else going on here. Parentheses are grouping symbols, and a you group is the people you hang out with or associate with.So remember: If the grouping symbols move, it's the associative property. If it's the other one where things move, it's the commutative property.
Is the symmetry group of the square an abelian group?
Abelian meaning commutative. If the symmetry group of a square is commutative then it's an abelian group or else it's not.
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What is the three property of addition?
I think you mean, what are the 3 properties of addition? Well, addition, like everything else, has infinitely many properties. But I am guessing you mean the 3 properties of addition that are described in the axioms of algebra. Namely, 1. The commutative law. This says that you can add 2 numbers in either order and get the same answer. In symbols, x+y equals y+x. 2. The associative law. This says that if you add 3 numbers, you can group them either way without changing the answer. In symbols, (x+y)+z equals x+(y+z) 3. The distributive law of addition over multiplication. I will not try to describe this in words, which would be long and confusing. It is most clearly described in symbols: x*(y+z) equals x*y + x*z * * * * * An excellent attempt at answering a flawed question. There are only two properties of addition, so trying to describe 3 is not really possible. The third one, above, is a property of multiplication over addition - not of the operation of addition.
How do you solve equations distributive property?
Distributive PropertyThe Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out); any time a computation depends on multiplying through a parentheses (or factoring something out), they want you to say that the computation used the Distributive Property.Why is the following true? 2(x + y) = 2x + 2ySince they distributed through the parentheses, this is true by the Distributive Property.Use the Distributive Property to rearrange: 4x - 8The Distributive Property either takes something through a parentheses or else factors something out. Since there aren't any parentheses to go into, you must need to factor out of. Then the answer is "By the Distributive Property, 4x - 8 = 4(x - 2)""But wait!" you say. "The Distributive Property says multiplication distributes over addition, not subtraction! What gives?" You make a good point. This is one of those times when it's best to be flexible. You can either view the contents of the parentheses as the subtraction of a positive number ("x - 2") or else as the addition of a negative number ("x + (-2)"). In the latter case, it's easy to see that the Distributive Property applies, because you're still adding; you're just adding a negative.The other two properties come in two versions each: one for addition and the other for multiplication. (Note that the Distributive Property refers to both addition and multiplication, too, but to both within just one rule.)
What is the property called commutative property of addition?
Here is a bit more information than you asked for:The commutative property is stated as: a+b=b+a, or ab = ba. Notice that the numbers (a and b) move back and forth. Think of a commuter, who travels back and forth to work each day.The associative property is stated as: (a+b)+c=a+(b+c) or (ab)c = a(bc). In this case the parentheses move back and forth, so you might want to call it the commutative property too! But there's something else going on here. Parentheses are grouping symbols, and a you group is the people you hang out with or associate with.So remember: If the grouping symbols move, it's the associative property. If it's the other one where things move, it's the commutative property.
What is the diffence about commutative property and associative property?
Good question. Many people find it hard to understand which is which. Each of them has an addition version and a multiplication version.The commutative property is stated as: a+b=b+a, or ab = ba. Notice that the numbers (a and b) move back and forth. Think of a commuter, who travels back and forth to work each day.The associative property is stated as: (a+b)+c=a+(b+c) or (ab)c = a(bc). In this case the parentheses move back and forth, so you might want to call it the commutative property too! But there's something else going on here. Parentheses are grouping symbols, and a you group is the people you hang out with or associate with.So remember: If the grouping symbols move, it's the associative property. If it's the other one where things move, it's the commutative property.
What are steps to solve distributive property?
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out); any time a computation depends on multiplying through a parentheses (or factoring something out), they want you to say that the computation used the Distributive Property."But wait!" you say. "The Distributive Property says multiplication distributes over addition, not subtraction! What gives?" You make a good point. This is one of those times when it's best to be flexible. You can either view the contents of the parentheses as the subtraction of a positive number ("x - 2") or else as the addition of a negative number ("x + (-2)"). In the latter case, it's easy to see that the Distributive Property applies, because you're still adding; you're just adding a negative.The other two properties come in two versions each: one for addition and the other for multiplication. (Note that the Distributive Property refers to both addition and multiplication, too, but to both within just one rule.)
Is the symmetry group of the square an abelian group?
Abelian meaning commutative. If the symmetry group of a square is commutative then it's an abelian group or else it's not.
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