Which property of addition is shown? b + c = c + b Choices: (A)associative (B)commutative (C)identity

Understand Addition Properties: Understand the properties of addition. The associative property involves the grouping of numbers and states that the way in which numbers are grouped does not change their sum, which can be written as (a + b) + c = a + (b + c). The commutative property states that the order in which two numbers are added does not change the sum, which can be written as a + b = b + a. The identity property involves the addition of 0, stating that any number plus 0 is the number itself, which can be written as a + 0 = a.Compare Given Equation: Compare the given equation with the properties of addition. The given equation is b + c = c + b. This equation shows that the sum remains the same regardless of the order of the addends, which matches the definition of the commutative property.Choose Correct Property: Choose the correct property based on the comparison. Since the given equation matches the definition of the commutative property, the correct choice is (B) commutative.

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Which property of addition is shown? $\newline$ $b + c = c + b$ $\newline$ Choices: $\newline$ (A) associative $\newline$ (B) commutative $\newline$ (C) identity

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Grade 6

Properties of addition

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Q. Which property of addition is shown?

\newline

b + c = c + b

\newline

Choices:

\newline

(A) associative

\newline

(B) commutative

\newline

Understand Addition Properties: Understand the properties of addition. The associative property involves the grouping of numbers and states that the way in which numbers are grouped does not change their sum, which can be written as $(a + b) + c = a + (b + c)$ . The commutative property states that the order in which two numbers are added does not change the sum, which can be written as $a + b = b + a$ . The identity property involves the addition of $0$ , stating that any number plus $0$ is the number itself, which can be written as $a + 0 = a$ .
Compare Given Equation: Compare the given equation with the properties of addition. $\newline$ The given equation is $b + c = c + b$ . This equation shows that the sum remains the same regardless of the order of the addends, which matches the definition of the commutative property.
Choose Correct Property: Choose the correct property based on the comparison. $\newline$ Since the given equation matches the definition of the commutative property, the correct choice is $(B)$ commutative.