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Among the three laws commutative associative and distributive which one is most frequently used in algebra?
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∙ 14y ago
commutative
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∙ 14y ago
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What is an algebra word that start with the letter a?
associative Abelian (named after Abel, and means commutative) Argand diagram (in complex numbers) Asymptote (asymptotic)
Which postulate of algebra justifies the statement 2x3x-1 6x2-2x for all values of x is it Multiplicative property or Distributive property or Associative property?
2x(3x-1) = 6x2-2x because of the distributive property.
What are the properties of algebra?
There are quite a few, but here are some:The distributive x(y+z)=xy+xzThe associative x+y=y+xand many others!
What is Abelian algebra?
Abelian algebra is a form of algebra in which the multiplication within an expression is commutative.
What has the author Sean Sather-Wagstaff written?
Sean Sather-Wagstaff has written: 'Progress in commutative algebra' -- subject(s): Commutative algebra
What is alternative algebra?
Alternative algebra is a form of algebra such that every subalgebra generated by two elements is associative.
Commutative associative and distributive which one is most frequently used in algebra?
In ordinary high-school algebra all three of them are used all the time.Here is an example. I want to change 6x + 2y = 5x into x + 2y = 0.Step 1: Add -5x to the end of both sides.I get (6x + 2y) + (-5x) = 5x + (-5x).Step 2: Use the associative law for addition to get6x +(2y + (-5x)) = 5x + (-5x).Step 3: Use the commutative law for addition to get6x +((-5x) +2y) = 5x + (-5x).Step 4: Use the associative law for addition to get(6x + (-5x)) +2y = 5x + (-5x).Step 5: Use the distributive law on the left-hand side to get((6 + -5)x + 2y = 5x + (-5x).Now, since 6 + (-5) = 1, and 1x = x, we getx + 2y = 5x + (-5x).Step 6: Use the distributive law on the right-hand side to getx + 2y = (5 + -5)x.Since 5 + (-5) = 0, and 0x = 0, we finally get tox + 2y = 0.So I used all three laws. In Step 1, I added -5x rather than subtracting 5x, because otherwise I would have to get involved with extra laws for subtraction as well as for addition.It is difficult to pick out one law as "most frequently used" - all three are vitally important.The hardest law to spot is the associative law, because it is hidden in our notation. If I write an expression like x^2 + 3x + 2 I am implicitly using the associative law for addition, because otherwise I could mean either(x^2 + 3x) + 2 or x^2 + (3x +2),and if I didn't have the associative law these two things could be different.(I am writing x^2 for x squared.)
Differentiate between ordinary algebra and boolean algebra?
ordinary:-it base all types of laws required for arthmetic operators all outputs are real numbers boolean:- it involves only binary inputs and outs in binary consists only 1,0 as ouputs it involves only two types of laws mostly commutative and associative laws
Describe the role of axiom systems in algebra?
An axiom in algebra is the stepping stone to solving equations. In order to solve and equation you know how to use the commutative, associative, distributive, transitive and equalilty axiom to solve the basic steps. For example: if you want an equation in the form y = mx + b, given 6x - 3y = 9 you must subtract 6x from both sides giving: -3y = 9-6x. Then you divide by -3 to get y = -3 + 2x. But the equation is not in the from y = mx + b. So we use the commutative property to switch the -3 + 2x and make it 2x - 3. Now it become y = 2x -3. and it is in the form y = mx + b. This manipulation could not be perfromed unless tahe student knew the commutative property. Once the axiom is know the algebraic manipulations fall into place.
Why can associative property be useful?
The associative property in algebra is important for organization of numbers. Rearranging the numbers and parenthesis will not change values but instead make the equation more convenient.
The rules of algebra used to transform equations into equivalent equations?
multiply the entire equation by a numberdivide the entire equation by a numberadd numbers to both sides of the equationsubtract numbers from both sides of the equationuse the commutative property to rearrange the equationuse the associative property to rearrange the equationfactor a number out of a portion of the equation
What are distributive properties in algebra?
the rules that you have to apply when adding ,subtracting, multiplying or dividing go to this webpage for a proper explanation http://math.about.com/od/algebra/a/distributive.htm
