What is an associative feature?
Associative property of mathematics concerns the ability to group certain numbers together in specific mathematical operations, in any type of order without changing the answer. Most often, children begin to study associative ownership of the census and then continue to study associate ownership multiplication. In both of these operations, the change of the order of added numbers or multiplied numbers will not lead to a changed sum or product. On the other hand, the associative feature is often used to express the unchanging nature of sums or products if three or more numbers are used. This feature can also be discussed in relation to how parentheses are used in mathematics. Placing parentheses around some numbers that will all be together will not change the results.
consider the following examples:
1 + 2 + 3 +4 = 10. This will remain true even if the numbers will be grouped differently.
(1 + 3) + (2 + 4) and (1 + 2 + 3) + 4 both are equal to ten. You do not need to consider the order of these numbers or their sEsstrum because the act of adding means that they will still have the same total amount.
In the associative properties of multiplication, the same basic idea applies. A x B x C = (AB) C or (AC) b. No matter how you group these numbers together, the product remains constant.
In particular in multiplication, the associative feature can show very useful. For example, take the basic formula for calculating the triangle area: 1/2bh or half the base height. Now consider that height is 4 inches and the base is 13 inches. It is easier to take half the height (4/2 = 2) than to take half the base (13/2 = 6.5). It is much easier to solve the resulting problem 2 x13 than to solve 6.5 x 4.
We can do this if we understand the associative feature because we will know that it does not matter what order we multiply these numbers. This can remove work from some complicated calculations and a little easierThread of mathematics work. Note that this feature does not work when you use a division or subtraction. Changing the order and grouping with these operations will affect the results.