Question

Identify the property that the statement illustrates.

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

Short answer

The property is Associative Property of Addition.

Step-by-step solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Associative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Associative property of Addition: (a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example: (11+12) + 13 = 11 + (12+13) = 36

Step-3 – Write the name of the property: 2x + (3y + z) = 2x + (3y + z) 

Associative property of Addition states, if you are adding three real numbers, the sum is always the same regardless of their grouping.

Associative property of Addition: (a + b) + c = a + (b + c)

Name of the property for this equation$\left(2x+3y\right)+z=2x+\left(3y+z\right)$ is Associative property of Addition.