Question

Identify the property shown by the equation.

Answer 1

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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