The reflexive property simply says that A=A, in other words, any number is equal to itself.
Generally there are only two inverse properties. The inverse property of addition, also known as the additive inverse property, and the inverse property of multiplication, also known as the multiplicative inverse property. The additive inverse property for say the the integer -5 (integer is a fancy word for number) is the same number but with the opposite sign. So if you are asked to find the additive inverse for -5 it is asking you to find it's opposite. So the what is the opposite of -5? +5, also written as just plain old 5 without the + sign! If you are asked to find the additive inverse of 5 what would you write? -5 of course! If you are asked to state in words and numbers the definition of the additive inverse property you would say that "the additive inverse property states that -a+a=0=a+-a". Here is another example. Say you are asked "what number can be used to make the following equation true? -5+?=0". What is the inverse of -5? 5 of course. So -5+5=0! ****If you know how to add/subtract positive and negative integers**** The inverse properties deal with negatives and positive integers. If you don't know how to add or subtract and divide and multiply negative and positive integers you should really learn to help you to better understand inverse properties. If you have studied integers then you know there cannot really be a inverse property of subtraction because the rule for subtracting integers is "Keep, Change, Change". Technically there can be a inverse subtraction property because ( -5)-5=0=(-5)5=0 BUT 5-(-5)=0=5+5 is false because 5+5=10 not 0! When subtracting integers the Keep, Change, Change rule means that if you were given the problem 5-(-5) you would KEEP the first number and sign exactly the same but CHANGE the sign, the minus sign, to a plus sign and then CHANGE the second number (in this case -5) to it's opposite. This changing the second number, (-5), is inverting it to it's opposite (5). So there can technically be a inverse subtraction property but it would be one that isn't reliable in making an equation true because depending on how the numbers are arranged you could get a completely different answer then you would if the numbers were arranged a different way. ( -5)-5=0=(-5)5=0 BUT 5-(-5)=0=5+5 is false because 5+5=10 not 0! But with addition (-5)+5 is the same as 5+(-5) making the following equation true: (-5)+5=0=5+(-5). I know this is a lot of reading to do but it really is quite simple. I was never any good at math but if I can do it so can you! It may be helpful to learn about integers before you learn about properties. This is found in the pre-algebra section. I hope this does some good for you. Xoxo
Let x = [x1, x2, ... xk] and y= [y1, y2, ... yk] be the two vectors of length k.Then we define their sum to be x+y = [x1+y1, x2+y2, ... xk+yk]In other words, add the corresponding elements in the two vectors.
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Trasnlate m + b into words for algebra
In general, the associative property states that "a · (b · c) = (a · b) · c" for some operation "·". In other words, if an operation is associative, the order in which multiple calculations involving it are performed is irrelevant.
Oh, dude, the associative property in math is like when you can add or multiply numbers in any order and still get the same result. It's kind of like saying 2 + (3 + 4) is the same as (2 + 3) + 4. So, you can shuffle those numbers around like a deck of cards and the math police won't come after you. It's pretty chill, you know?
Make a fold-able with the following properties: 1.Commutative Property of Addition and Multiplication 2.Associative Property of Addition and Multiplication 3.Identity Property of Addition and Multiplication a. Addition b.Subtraction c.Multiplication d.Division 4.Multiplication Property of Zero Inside each flap, be sure to include: . A definition in your own words . At least 2 examples of each property This fold-able is due Tuesday,January 18,2011.
It is the property that, in symbols, says: (a + b) + c = a + (b + c). In other words, you can either add the left part or the right part first, and still get the same result.
The property which states that for all real numbers a, b, and c, their sum is always the same, regardless of their grouping:(a + b) + c = a + (b + c)
Associative property of multiplication states that: (ab)c = a(bc) In words, no matter which order you multiply the numbers by, you obtain the same results.
In mathematics, the associative property for a set S and a binary operation ~ implies that for all element a, b and c of S,(a ~ b) ~ c = a ~ (b ~ c) and so either can be written as a ~ b ~ cIn other words, the order in which the binary operations are carried out does not affect the result.Addition and multiplication of numbers are associative, subtraction and division are not.
The associative property of addition states that given any three elements in the domain, their sum does not depend on the order in which the operation of addition is carried out. So, if x, y and z are three elements, then (x + y) + z = x + (y+ z) and either can be written as x + y + z without ambiguity. Note that this is not true for subtraction. (5 - 3) - 2 = 2 - 2 = 0 but 5 - (3 - 2) = 5 - 1 = 4
The associative property means that in a sum (for example), (1 + 2) + 3 = 1 + (2 + 3). In other words, you can add on the left first, or on the right first, and get the same result. Similar for multiplication. How you use this in an equation depends on the equation.
the property which states that for all real numbers a,b,and c their product is always the same, regardless of their grouping
There are 5 Properties:CLOSURE-The sum of two integers is an integer.EX. 5+9=14 (14 is an integer)COMMUTATIVE-Changing the order of the addends does not change the sum.EX. 8+4=4+8ASSOCIATIVE-Changing the grouping of the addends does not change the sum.EX. (-5+4)+6=-5+(4+6)IDENTITY-The sum of an integer and zero equals the original integer.EX. -2+0=0+(-2)=-2INVERSE-The sum of any integer and its additive inverse equals zero, the identity element of addition.EX. 6+(-6)=-6+6=0* * * * *Commutativity and associativity are properties of addition. The others are properties of the set over which addition is defined, not of addition itself.
Associative Evidence is evidence that links two separate entities, whether they are people or objects. In other words, associative evidence relates to the evidence that links a person (or object) to the scence of the crime.