301 + 173 + 427 = 301 + (173 + 427) = 301 + 600 = 901
12/(17/2)
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
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 distributive property of multiplication over addition and the identity property of multiplication. RS + RS = 1*RS + 1*RS (using identity property) = (1 + 1)*RS (using distributive property) = 2*RS
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.
12/(17/2)
Associative algebra is a branch of mathematics that studies algebraic structures known as algebras, where the operations of addition and multiplication satisfy the associative property. In these algebras, elements can be combined using a bilinear multiplication operation, which means that the product of two elements is linear in each argument. Associative algebras can be defined over various fields, such as real or complex numbers, and they play a crucial role in various areas of mathematics, including representation theory, functional analysis, and quantum mechanics. An important example of associative algebras is matrix algebras, where matrices form an algebra under standard matrix addition and multiplication.
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.
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
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.
So you don't have to use mental math or fingers
The commutative property of addition applies to all real and complex numbers. It has nothing whatsoever to do with the form in which the number is represented: decimal, binary, etc.