Wikipedia
commutative law of multiplication : In the a mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. The order in real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of multiplication. When matrices or members.. More from Wikipedia
commutative law of multiplication : In mathematics, commutativity is the property that changing the order of something does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. The commutativity of simple operations, such as multiplication and addition.. More from Wikipedia
Commutative law
Let * be a binary operation on the set S. * is said to be associative in S if " a, b S a * b = b ..
Question : In your own words, can you discuss the Associative laws of Addition and Multiplication. Give an example for each law.
In your own words discuss the Commutative laws of Addition and Multiplication. Give an example for each law...Im just not clear still
Answer : Associative says that if you keep terms in the same sequence, you can group them any way you want and get the same answer. so... (3+2)+5 = 5 + 5 = 10 and 3+(2+5) = 3+7 also = 10 That's the associative property. It also works for multiplication. { (3*2)*7 = 6*7 = 42 and 3*(2*7) = 3*14 = 42 } the commutative property says you can change the order of the terms and still get the same answer. So... 6+9 = 15 and 9+6 = 15 This also holds true for multiplication { 8*3=24=3*8 } Do you think these are true for division? subtraction? Try it and see! Hope this is helpful... More from Yahoo Answers
Answer : Associative says that if you keep terms in the same sequence, you can group them any way you want and get the same answer. so... (3+2)+5 = 5 + 5 = 10 and 3+(2+5) = 3+7 also = 10 That's the associative property. It also works for multiplication. { (3*2)*7 = 6*7 = 42 and 3*(2*7) = 3*14 = 42 } the commutative property says you can change the order of the terms and still get the same answer. So... 6+9 = 15 and 9+6 = 15 This also holds true for multiplication { 8*3=24=3*8 } Do you think these are true for division? subtraction? Try it and see! Hope this is helpful... More from Yahoo Answers
Question : I know it would be something like A-B "Is not equal to" B-A .
But I'm intrested if the law states anything for Subtraction and Division at all or is it just made for Multiplication and Addition and has no reference to Subtraction and Division? There* by the way sorry... There* by the way sorry...
Answer : Only addition and multiplication and their properties (commutativity, associativity, distributivity, identity, inverses) are set out. There are no axioms about subtraction and division. Subtraction is just a notation shortcut to represent what is really the addition of the inverse. What we call "A - B" is really "A + (-B)", adding the additive inverse of B to A. Commutativity applies for addition, so A - B = A + (-B) = (-B) + A. That this is not equal to B - A *does not need to be stated as an axiom, as it is easy to deduce. Ditto for division. What we call "x / y" is really "x * (1/y)", that is x multiplied by the multoplicative inverse of y. * except when A=B, of course... More from Yahoo Answers
Answer : Only addition and multiplication and their properties (commutativity, associativity, distributivity, identity, inverses) are set out. There are no axioms about subtraction and division. Subtraction is just a notation shortcut to represent what is really the addition of the inverse. What we call "A - B" is really "A + (-B)", adding the additive inverse of B to A. Commutativity applies for addition, so A - B = A + (-B) = (-B) + A. That this is not equal to B - A *does not need to be stated as an axiom, as it is easy to deduce. Ditto for division. What we call "x / y" is really "x * (1/y)", that is x multiplied by the multoplicative inverse of y. * except when A=B, of course... More from Yahoo Answers
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