Match each equation to the property it represents.3+(5+8)=(3+5)+8
Equation: 3+(5+8)=(3+5)+8
Property: Associative Property of Addition
The equation:
3 + (5 + 8) = (3 + 5) + 8
represents the property of addition called the associative property.
To match each equation to the property it represents, we need to understand some of the properties of addition. The properties of addition are Commutative Property, Associative Property, and Identity Property.
1. Commutative Property: The commutative property of addition states that changing the order of the addends does not change the sum. In other words, a + b = b + a.
2. Associative Property: The associative property of addition states that the grouping of the addends does not change the sum. In other words, (a + b) + c = a + (b + c).
3. Identity Property: The identity property of addition states that adding zero to any number does not change the value of that number. In other words, a + 0 = a.
Now let's examine the given equation: 3 + (5 + 8) = (3 + 5) + 8.
The first part of the equation, 3 + (5 + 8), represents the associative property because we are adding the numbers 5 and 8 first, and then adding the result to 3.
The second part of the equation, (3 + 5) + 8, also represents the associative property because we are adding the numbers 3 and 5 first, and then adding the result to 8.
Therefore, the equation 3 + (5 + 8) = (3 + 5) + 8 represents the associative property of addition.