(1 + 2) + 3 = 1 + (2 + 3) ,Name the property
Answers
Answer:
Associative property
Answer:
Step-by-step explanation:
The Associative Properties of Addition and Multiplication
The associative property of addition states that numbers in an addition expression can be grouped in different ways without changing the sum. You can remember the meaning of the associative property by remembering that when you associate with family members, friends, and co-workers, you end up forming groups with them.
Below, are two ways of simplifying the same addition problem. In the first example, 4 is grouped with 5, and 4 + 5 = 9.
4 + 5 + 6 = 9 + 6 = 15
Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11.
4+ 5 + 6 = 4 + 11 = 15
In both cases, the sum is the same. This illustrates that changing the grouping of numbers when adding yields the same sum.
Mathematicians often use parentheses to indicate which operation should be done first in an algebraic equation. The addition problems from above are rewritten here, this time using parentheses to indicate the associative grouping.
(4 + 5) + 6 = 9 + 6 = 15
4 + (5 + 6) = 4 + 11 = 15
It is clear that the parentheses do not affect the sum; the sum is the same regardless of where the parentheses are placed.
Associative Property of Addition
For any real numbers a, b, and c, (a + b) + c = a + (b + c).