Question

Name the property of real numbers illustrated by the equation. (2+x)+3=2+(x+3)

Answer 1

Answer: The property which is illustrated by the given equation, is associative property of addition.

Explanation:

The associative property of addition states that the sum of three real number remains the same either start addition from first two numbers or last two numbers.

$(a+b)+c=a+(b+c)$     ... (1)

The given equation is,

$(2+x)+3=2+(x+3)$

The above equation is same as equation (1)0, where the value of a, b and c are 2, x and 3 respectively.

And after simplifying the given equation we get,

$5+x=5+x$

The left hand side is equal to right hand side. So, the associative property of addition is illustrated by the given equation.