Question
Which of the following correctly demonstrates the Associative Property of Addition?(1 point)
Responses
(x+y)+z+r=x+(y+z)+r
left parenthesis x plus y right parenthesis plus z plus r equals x plus left parenthesis y plus z right parenthesis plus r
y−(x+1)=(y−x)+1
y minus left parenthesis x plus 1 right parenthesis equals left parenthesis y minus x right parenthesis plus 1
x⋅(y+z)=(x⋅y)+z
x times left parenthesis y plus z right parenthesis equals left parenthesis x times y right parenthesis plus z
m⋅(x⋅y)=(m⋅x)⋅y
Responses
(x+y)+z+r=x+(y+z)+r
left parenthesis x plus y right parenthesis plus z plus r equals x plus left parenthesis y plus z right parenthesis plus r
y−(x+1)=(y−x)+1
y minus left parenthesis x plus 1 right parenthesis equals left parenthesis y minus x right parenthesis plus 1
x⋅(y+z)=(x⋅y)+z
x times left parenthesis y plus z right parenthesis equals left parenthesis x times y right parenthesis plus z
m⋅(x⋅y)=(m⋅x)⋅y
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The Associative Property of Addition states that how numbers are grouped in addition does not affect their sum. This property can be expressed mathematically as:
\[
(a + b) + c = a + (b + c)
\]
From the options you provided, the correct demonstration of the Associative Property of Addition is:
\[
(x+y)+z+r = x+(y+z)+r
\]
This shows that whether you group \(x+y\) first or \(y+z\) first does not change the final sum, hence it is a correct representation of the Associative Property of Addition.
\[
(a + b) + c = a + (b + c)
\]
From the options you provided, the correct demonstration of the Associative Property of Addition is:
\[
(x+y)+z+r = x+(y+z)+r
\]
This shows that whether you group \(x+y\) first or \(y+z\) first does not change the final sum, hence it is a correct representation of the Associative Property of Addition.
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