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Which equation shows the associative property of addition?\newlineChoices:\newline(A) r+0=rr + 0 = r\newline(B) (r+s)+t=r+(s+t)(r + s) + t = r + (s + t)\newline(C) t+u=r+st + u = r + s\newline(D) r=0+rr = 0 + r

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Q. Which equation shows the associative property of addition?\newlineChoices:\newline(A) r+0=rr + 0 = r\newline(B) (r+s)+t=r+(s+t)(r + s) + t = r + (s + t)\newline(C) t+u=r+st + u = r + s\newline(D) r=0+rr = 0 + r
  1. Understand Associative Property: Understand the associative property of addition. The associative property of addition states that the way in which addends are grouped does not change the sum. In mathematical terms, this property is expressed as (a+b)+c=a+(b+c)(a + b) + c = a + (b + c).
  2. Examine Choice (A): Examine choice (A) to see if it demonstrates the associative property.\newlineThe equation r+0=rr + 0 = r does not show the associative property; it shows the identity property of addition, which states that adding zero to a number does not change the number.
  3. Examine Choice (B): Examine choice (B) to see if it demonstrates the associative property.\newlineThe equation (r+s)+t=r+(s+t)(r + s) + t = r + (s + t) is in the form of the associative property of addition, which is (a+b)+c=a+(b+c)(a + b) + c = a + (b + c). This choice correctly demonstrates the associative property.
  4. Examine Choice (C): Examine choice (C) to see if it demonstrates the associative property.\newlineThe equation t+u=r+st + u = r + s does not show the associative property; it is simply an equation that states two sums are equal, without any implication of grouping or association.
  5. Examine Choice (D): Examine choice (D) to see if it demonstrates the associative property.\newlineThe equation r=0+rr = 0 + r does not show the associative property; like choice (A), it shows the identity property of addition.

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