What property is 2+(7+3)=(2+7)+3
The property being demonstrated in this equation is the Associative Property of Addition. This property states that changing the grouping of addends does not change the sum. In other words, adding two numbers together, then adding another number to the sum, will yield the same result as adding the first number to the sum of the other two numbers.
The property being demonstrated here is called the associative property of addition. According to this property, you can change the grouping of the numbers being added without changing the sum. In this case, the left side of the equation groups the numbers (7+3) together first, and the right side groups the numbers (2+7) together first. Both sides yield the same result, which is equal to 12.
The property that is being demonstrated in the equation 2 + (7 + 3) = (2 + 7) + 3 is called the associative property of addition.
To understand the associative property, let's break down the equation:
On the left side of the equation, we have 2 + (7 + 3). This expression involves adding two numbers together, 7 and 3, and then adding the result to 2. Now, let's solve this equation:
First, we calculate the sum of 7 and 3, which is 10.
Then, we add 2 to the sum of 7 and 3, resulting in 12.
Therefore, 2 + (7 + 3) equals 12.
Now let's look at the expression on the right side of the equation, (2 + 7) + 3. This expression involves adding two numbers together, 2 and 7, and then adding the result to 3.
First, we calculate the sum of 2 and 7, which is 9.
Then, we add 3 to the sum of 2 and 7, resulting in 12.
Therefore, (2 + 7) + 3 also equals 12.
The associative property of addition states that no matter how the numbers are grouped when adding, the sum will remain the same. In simpler terms, it means that the order in which we group numbers to add them does not affect the result. In this case, both sides of the equation yield the same result, which confirms the associative property of addition.