QuestionWhich option shows the commutative property of addition: A, B, C, or D?

Studdy Solution

STEP 1

Assumptions1. We are looking for the sentence that illustrates the commutative property for addition. . The commutative property for addition states that changing the order of the addends does not change the sum.

STEP 2

Let's evaluate each option one by one.
A. $(a+b)+c=a+(b+c)$ This sentence illustrates the associative property of addition, not the commutative property. The associative property states that the way in which numbers are grouped does not change their sum or product.

STEP 3

B. $a(b+c)=a b+a c$
This sentence illustrates the distributive property, not the commutative property. The distributive property states that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

STEP 4

C. $a+0=a$
This sentence illustrates the identity property of addition, not the commutative property. The identity property states that any number plus zero equals the original number.

STEP 5

. $a+b=b+a$
This sentence illustrates the commutative property of addition. The commutative property states that changing the order of the addends does not change the sum.
So, the sentence that illustrates the commutative property for addition is $a+b=b+a$ .

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