Select all that justify the following statement.10 + x • 12 = 12x + 10commutative - additionassociative - additiondistributivesymmetriccommutative - multiplicationassociative - multiplicationidentity - additionNEXT QUESTION
Question
Select all that justify the following statement.10 + x • 12 = 12x + 10commutative - additionassociative - additiondistributivesymmetriccommutative - multiplicationassociative - multiplicationidentity - additionNEXT QUESTION
Solution
To justify the statement 10 + x • 12 = 12x + 10, we can consider the following properties:
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Commutative - Addition: This property states that the order of addition does not affect the result. In this case, we can rearrange the terms as x • 12 + 10 = 12x + 10.
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Distributive: This property allows us to distribute a factor to each term inside parentheses. In this case, we can distribute x to both terms in 10 + x • 12, resulting in 10 + 12x.
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Commutative - Multiplication: This property states that the order of multiplication does not affect the result. In this case, we can rearrange the terms as 12x + 10 = 10 + 12x.
Therefore, the properties that justify the statement 10 + x • 12 = 12x + 10 are commutative - addition, distributive, and commutative - multiplication.
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