Chapter 2: Q30. (page 66)

Identify the property that the statement illustrates.
$(2 x + 3 y) + z = 2 x + (3 y + z)$

Short Answer

Expert verified

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 $(2 x + 3 y) + z = 2 x + (3 y + z)$ is Associative property of Addition.

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Identify the property that the statement illustrates.
$(2 x + 3 y) + z = 2 x + (3 y + z)$

Short Answer

Step by step solution

Step-1 – What are real numbers?

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

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

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Identify the property that the statement illustrates.(2x+3y)+z=2x+(3y+z)

Short Answer

Step by step solution

Step-1 – What are real numbers?

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Applied Mathematics

Calculus

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Identify the property that the statement illustrates.
$(2 x + 3 y) + z = 2 x + (3 y + z)$