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Published byAugust Booker Modified over 5 years ago

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A good way to remember the order of operations is the acronym P.E.M.D.A.S. Follow each step in order it appears. Parenthesis. If it falls in parenthesis, do it 1st Exponents Multiplication Division Addition Subtraction

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Commutative Property Associative Property Distributive Property Identity Property

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The commutative property is allows for us to add and multiply numbers in any order we want without changing the answer. 17 + 6 is the same as writing 6+17. Both are equal to 23. Same for multiplying 2 x 3 = 3 x 2

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The associative property says when adding or multiplying, we can group numbers in a sum or in a product in any way that we choose. 3+4+9 = (3+4)+9 = (4+9)+3 2x5x4 = (2x5)x4 = 2x(4x5)

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The distributive property comes into play when we have addition and multiplication in an equation. It tells us if a term is multiplied by terms in parenthesis, we need to “distribute” the multiplication over all the terms inside the parenthesis. 3x(5+y) = 15x+3xy

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The identity property simply tells us that zero added to any number is itself. For multiplication, it tells us that any number multiplied by 1 is the same number. 3+0=3 14x1=14

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