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Lets make remembering these properties a little more memorable. Created by: Mike Walker

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a + b = b + a Example:7 + 3 = 3 + 7 Two real numbers can be added in either order to achieve the same sum. Does this work with subtraction? Why or why not?

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a x b = b x a Example:3 x 7 = 7 x 3 Two real numbers can be multiplied in either order to achieve the same product. Does this work with division? Why or why not?

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(a + b) + c = a + (b + c) Example: (29 + 13) + 7 = 29 + (13 + 7) When three real numbers are added, it makes no difference which are added first. Notice how adding the 13 + 7 first makes completing the problem easier mentally.

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(a x b) x c = a x (b x c) Example: (6 x 4) x 5 = 6 x (4 x 5) When three real numbers are multiplied, it makes no difference which are multiplied first. Notice how multiplying the 4 and 5 first makes completing the problem easier.

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a + 0 = a Example: 9 + 0 = 9 The sum of zero and a real number equals the number itself. Memory note: When you add zero to a number, that number will always keep its identity.

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a x 1 = a Example: 8 x 1 = 8 The product of one and a number equals the number itself. Memory note: When you multiply any number by one, that number will keep its identity.

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a(b + c) = ab + ac ora(b c) = ab ac Example: 2(3 + 4) = (2 x 3) + (2 x 4) or 2(3 - 4) = (2 x 3) - (2 x 4) Distributive Property is the sum or difference of two expanded products.

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a + (-a) = 0 Example:3 + (-3) = 0 The sum of a real number and its opposite is zero.

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Go forth and use them wisely.Go forth and use them wisely. Use them confidently.Use them confidently. And use them well, my friends!And use them well, my friends!