Madelyn, in the simplification of the expression 3(4y) + 6 + 2y using the given steps, uses the commutative property of addition in the step 12y + 6 + 2y = 12y + 2y + 6, by commuting the term from the 3rd place to the 2nd place.
The order of factors in a multiplication phrase does not influence the product, according to the Commutative Property of Multiplication. Integers, fractions, decimals, exponents, and algebraic equations are all affected by the Commutative Property of Multiplication.
According to this a*b = b*a.
Changing the order of the numerals we're adding does not affect the amount, according to the commutative property of addition.
According to this a + b = b + a.
The associative property of multiplication states that in a multiplication issue, the order in which elements are grouped does not affect the product.
According to this a*(b*c) = (a*b)*c.
Changing the grouping of the addends does not modify the sum, according to the associative property of addition.
According to this a + (b + c) = (a + b) + c.
We are given the steps taken by Madelyn in the simplification of the expression 3(4y) + 6 + 2y.
We analyze each of her steps and check if she uses any of the stated property.
∴ Madelyn, in the simplification of the expression 3(4y) + 6 + 2y using the given steps, uses the commutative property of addition in the step 12y + 6 + 2y = 12y + 2y + 6, by commuting the term from the 3rd place to the 2nd place.
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