Respuesta :
Answer:
a + b = b + a
Step-by-step explanation:
The commutative property of addition allows us to "switch" values around an addition sign.
The first choice is a+b = a-b. The operation is changed; the problem is not just flipped around. This is not the commutative property.
The second choice is a+(b+c) = (a+b)+c. In this problem, the parentheses are switched; this is an example of the associative property, not the commutative property.
The third choice is a+b = a+c. The values that are added are changed, not flipped; this is not the commutative property.
The last choice is a+b = b+a. In this equation, the values are flipped around the addition symbol; this is the commutative property.
Option D is our correct answer.
a + b = b + a.
Given,
commutative property of addition.
7 + 8 + 3 = 7 + 3 + 8
4.6 + 11.4 = 11.4 + 4.6
We have to choose from the option that describes the commutative property of addition.
- a + b = a – b
- a + (b + c) = (a + b) + c
- a + b = a + c
- a + b = b + a
What is the commutative property of addition?
It states that if we change the order of the values with the addition the answer remains the same.
4 + 2 = 2 + 4.
We have,
a + b = a – b
Here the order is the same on both sides but the answer is not the same on both sides.
a + (b + c) = (a + b) + c
This is a property of associative.
a + b = a + c
Here the values are not the same on both sides.
a + b = b + a
The values are the same on both sides and the order is changed.
This is the commutative property of addition.
Thus a + b = b + a is our correct answer.
Learn more about the properties of algebra here:
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