Name property real number illustrated by equation 5+(15+6)=(5:+(15)+6

try proofreading your post before submitting it.

I will have to guess associative, based on the garbled text

The equation you provided is 5 + (15 + 6) = (5 :+ 15) + 6. It seems that there is a typographical error in the equation.

However, based on the given equation, we can identify the properties of real numbers being illustrated.

The given equation demonstrates the associative property of addition. According to this property, changing the grouping of numbers being added does not affect their sum.

To solve the equation and verify this property, we first evaluate the expressions inside the parentheses:
15 + 6 = 21

The equation now becomes:
5 + 21 = (5 :+ 15) + 6

Next, simplify the left-hand side of the equation:
5 + 21 = 26

Now, we need to solve the expression on the right side of the equation:
(5 :+ 15) + 6 = 20 + 6 = 26

Since both sides of the equation simplify to 26, we can conclude that the equation illustrates the associative property of addition.