7 + (5 + 8) = (7 + 5) + 8 is showing associative property as it is in the form a + (b + c) = (a + b) + c.
Given: To identify the property for the following:
7 + (5 + 8) = (7 + 5) + 8
What are the different types of properties?
1. Commutative Property: Given two numbers a and b, then
a + b = b + a where a, b are some real numbers.
Note: It is commutative on the binary operator of addition (+).
2. Associative Property: Given three numbers a, b and c, then
(a + b) + c = a + (b + c) where a, b and c are some real numbers
Note: It is associative on the binary operator of addition (+).
3. Identity Property: Given some real number a. Then there exist some number (say for instance 1) within the real domain such that a × 1 = a.
For this demonstration above 1 is the identity element.
4. Distributive Property: Given three numbers a, b and c, then
a × (b + c) = a × b + a × c, where a, b and c are some real numbers.
Note: It is distribute over the binary operator of addition (+) and multiplication (×)
So, for the given question: 7 + (5 + 8) = (7 + 5) + 8, it is in the form of
a + (b + c) = (a + b) + c, which shows the associative property over the binary operator of addition.
Hence 7 + (5 + 8) = (7 + 5) + 8 is associative.
Know more about "properties of equation" here: brainly.com/question/5637942
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