Match each equation to the property it represents.
2+(4+6)=(2+4)+6
This equation represents the property of associativity.
The equation 2+(4+6)=(2+4)+6 represents the:
1. Associative property of addition.
To match each equation to the property it represents, let's examine the given equation:
2 + (4 + 6) = (2 + 4) + 6.
This equation demonstrates the associative property of addition. The associative property states that the grouping of numbers does not affect the sum. In other words, when adding multiple numbers, changing the grouping of the numbers will not change the result.
To understand this property, let's break down the equation using parentheses to show the different groupings:
Left side: 2 + (4 + 6)
First, we add 4 and 6 inside the parentheses:
2 + 10
The sum of 2 and 10 is 12.
Right side: (2 + 4) + 6
First, we add 2 and 4 inside the parentheses:
6 + 6
The sum of 6 and 6 is also 12.
Since both sides of the equation evaluate to the same value (12), we can conclude that this equation represents the associative property of addition.