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Which shows the use of the commutative property?

O 3(7+n) = 21+3n
0 7+(3+n) = (7+3) +7
O 30+ 7 = 7+ 3n
0 7+3) + = 10+7

User Ctuffli
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1 Answer

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Final answer:

The correct expression demonstrating the commutative property is 30 + 7 = 7 + 3. This shows that the sum remains unchanged when the order of the addends is reversed, which is a characteristic of the commutative property for addition.

Step-by-step explanation:

The commutative property states that the order in which two numbers are added or multiplied does not change the sum or product. In mathematical terms, this property is expressed as A + B = B + A for addition and A × B = B × A for multiplication. Applying this to the question, the correct expression that demonstrates the commutative property of addition would be:

30 + 7 = 7 + 3 as both sides have the same two numbers being added but in reverse order, which doesn't change the sum according to the commutative property. Considering multiplication: In most cases, as for regular numbers, swapping the order of the factors doesn't affect the product (e.g., 2 × 3 = 3 × 2).

However, the other expressions given in the question may involve properties such as distributive or associative, but not commutative. Remember that the commutative property applies to both addition and multiplication but does not apply to subtraction and division.

User Jeannette
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