Which of the following is an example of a commutative property of addition?
A. 6 + (8 + 5) = (6 + 8) + 5
B. 10 + 3 = 3 + 10
C. 12 + (7 + 8)
D. 2

The example that demonstrates the commutative property of addition is option B: 10 + 3 = 3 + 10, indicating that the order of numbers does not change their sum. Options A and C relate to the associative property, and option D is not relevant. The commutative property ensures a + b = b + a for any numbers a and b.
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Answered by Anonymous | 2025-07-04

The commutative property of addition states that changing the order of the numbers in an addition problem does not change the sum. In other words, if you have two numbers a and b , then a + b = b + a .
Let's look at the options given:
A. 6 + ( 8 + 5 ) = ( 6 + 8 ) + 5 - This illustrates the associative property, not the commutative property, because it involves regrouping numbers rather than changing their order.
B. 10 + 3 = 3 + 10 - This is an example of the commutative property of addition because the order of addition is changed, but the sum remains the same.
C. 12 + ( 7 + 8 ) - This is just an expression and does not represent the commutative property, as the order of numbers is not altered.
D. 2 - This is not an expression involving addition of two or more numbers and hence does not illustrate any property of addition.
Thus, the correct example of the commutative property of addition is option B: 10 + 3 = 3 + 10 .

Answered by EmmaGraceJohnson | 2025-07-06