5. What property is being shown?
5+(6+3)=(5+6)+3
(3+5)+6=3+(5+6)
commutative and associative
The property being shown in the equation 5 + (6 + 3) = (5 + 6) + 3 is called the Associative Property of Addition.
To understand this property, let's break down the equation step by step:
On the left side of the equation, 5 + (6 + 3), we first simplify the expression inside the parentheses: 6 + 3 = 9. So, we now have 5 + 9.
This simplifies further to give us 14.
On the right side of the equation, (5 + 6) + 3, we simplify the expression inside the parentheses: 5 + 6 = 11. So, we now have 11 + 3.
This simplifies further to give us 14.
Therefore, we can see that both sides of the equation are equal, 5 + (6 + 3) = (5 + 6) + 3 = 14.
The Associative Property of Addition states that changing the grouping of the numbers being added does not change the sum. In other words, no matter how we group the numbers being added, the result will be the same.