Oh, dude, the associative property of addition with integers just means you can group the numbers however you want and still get the same result. It's like rearranging a dinner table but still ending up with the same meal. So, if you're adding integers like 2 + (3 + 4), it's totally cool to switch it up and do (2 + 3) + 4 instead. Math is flexible like that, man.
The associative property states, no matter how you order three or more integers being added, they will always equal the same solution.
For example, A + (B + C) = (A +B) + C
* * * * *
The equation is correct but the description is not.
When you say "no matter how you order three or more integers" you are implying that A + B + C = A + C + B and that need not be true.
Associativity refers to the order in which the summation is carried out. That does not matter.
301 + 173 + 427 = 301 + (173 + 427) = 301 + 600 = 901
12/(17/2)
The commutative property for any two numbers, X and Y, is X # Y = Y # X where # can stand for addition or multiplication. Whether the numbers are written as integers, rational fractions, irrationals or decimal numbers is totally irrelevant.
You need the associative and commutative properties, but not the distributive property. n*4n*9 =n*(4n*9) (associative) = n*(9*4n) (commutative) = n*(36n) (associative) = 36n*n commutative = 36*n^2
no
In general, the associative property cannot be used for this purpose. The volume of a prism is the area of cross section multiplied by the length, and except in the case of a rectangular prism, there is no scope for using the associative property.
301 + 173 + 427 = 301 + (173 + 427) = 301 + 600 = 901
12/(17/2)
The commutative property for any two numbers, X and Y, is X # Y = Y # X where # can stand for addition or multiplication. Whether the numbers are written as integers, rational fractions, irrationals or decimal numbers is totally irrelevant.
You need the associative and commutative properties, but not the distributive property. n*4n*9 =n*(4n*9) (associative) = n*(9*4n) (commutative) = n*(36n) (associative) = 36n*n commutative = 36*n^2
I am guessing your problem is to compute 5 times 2 times 13. In this case, the property you are using the associative property.
The Associative Law of Addition says that changing the grouping of numbers that are added together does not change their sum. This law is sometimes called the Grouping Property. Examples: x + (y + z) = (x + y) + z. Here is an example using numbers where x = 5, y = 1, and z = 7.
15•(3÷b)=45÷b identify the property the statement illustrates
Answer: The associative property involves three numbers, not two. Of course, you can use one of the numbers more than once. For example, show, by calculation, that (2 x 2) x -2 = 2 x (2 x -2).
4*25*27 = (4*25)*27 = 100*27 = 2700
no
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.