Which equation shows the commutative property of addition? Choices: (A)s = s + 0 (B)t + s = s + t (C)s + t = u + v (D)s + (t + u) = (s + t) + u

Understand Commutative Property: Understand the commutative property of addition. The commutative property of addition states that the order in which two numbers are added does not change the sum. In other words, a + b = b + a.Analyze Answer Choices: Analyze each answer choice to see which one demonstrates the commutative property. (A) s = s + 0 does not show the commutative property; it shows the identity property of addition. (B) t + s = s + t directly shows the commutative property, as it indicates that the sum remains the same regardless of the order of the addends. (C) s + t = u + v does not necessarily show the commutative property, as it does not relate the same addends in a reversed order. (D) s + (t + u) = (s + t) + u shows the associative property of addition, not the commutative property.Select Correct Answer: Select the correct answer based on the analysis. The correct answer is (B) t + s = s + t because it is the only choice that directly demonstrates the commutative property of addition.

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Which equation shows the commutative property of addition? $\newline$ Choices: $\newline$ (A) $s = s + 0$ $\newline$ (B) $t + s = s + t$ $\newline$ (C) $s + t = u + v$ $\newline$ (D) $s + (t + u) = (s + t) + u$

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Math Problems

Grade 6

Properties of addition

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Q. Which equation shows the commutative property of addition?

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Choices:

\newline

(A)

s = s + 0

\newline

(B)

t + s = s + t

\newline

(C)

s + t = u + v

\newline

(D)

s + (t + u) = (s + t) + u

Understand Commutative Property: Understand the commutative property of addition. The commutative property of addition states that the order in which two numbers are added does not change the sum. In other words, $a + b = b + a$ .
Analyze Answer Choices: Analyze each answer choice to see which one demonstrates the commutative property. $\newline$ (A) $s = s + 0$ does not show the commutative property; it shows the identity property of addition. $\newline$ (B) $t + s = s + t$ directly shows the commutative property, as it indicates that the sum remains the same regardless of the order of the addends. $\newline$ (C) $s + t = u + v$ does not necessarily show the commutative property, as it does not relate the same addends in a reversed order. $\newline$ (D) $s + (t + u) = (s + t) + u$ shows the associative property of addition, not the commutative property.
Select Correct Answer: Select the correct answer based on the analysis. $\newline$ The correct answer is (B) $t + s = s + t$ because it is the only choice that directly demonstrates the commutative property of addition.