Math Problem Statement

Which equation shows the commutative property of addition?

Solution

The commutative property of addition states that the order in which two numbers are added does not affect their sum. For example:

  • a+b=b+aa + b = b + a

Looking at the options in the image:

  1. 6=1+56 = 1 + 5: This does not demonstrate the commutative property.
  2. 8=0+88 = 0 + 8: This does not demonstrate the commutative property.
  3. 5+(9+2)=(5+9)+25 + (9 + 2) = (5 + 9) + 2: This represents the associative property, not the commutative property.
  4. 9+6=6+99 + 6 = 6 + 9: This is the correct answer, as it clearly shows that changing the order of the numbers being added does not change the sum.

Let me know if you'd like further details!

Related Questions:

  1. What are other examples of the commutative property of addition?
  2. How does the commutative property apply to subtraction or division?
  3. Can the commutative property be used for more than two numbers?
  4. What is the difference between commutative and associative properties?
  5. Why is the commutative property important in mathematics?

Tip:

Always remember that commutativity is about changing the order, whereas associativity is about changing the grouping of numbers!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Properties of Addition
Commutative Property

Formulas

a + b = b + a

Theorems

Commutative Property of Addition

Suitable Grade Level

Grades 2-5