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X2 ¸ An operation is doing a mathematical process between two numbers, such as adding, subtracting, multiplying, dividing, etc. Some math problems have more than one operation to be performed. In these problems, the order in which you perform the operations can make a big difference. In any problem that has more than one operation, there is only one way to solve itÍž you must follow a particular order. The order of operations is: Parentheses Exponents Multiplication Division Addition Subtraction Do whichever comes first left to right Do whichever comes first left to right An easy way to remember this is to remember the phrase “Please Excuse My Dear Aunt Sally”. The first letter of each word of this phrase represents the first letter of the order of operations. When working problems like the ones below, you need to only perform one operation at a time. Problem: 5+3x2–4 5+6–4 11 – 4 Steps 1. Multiply Problem: 35 2. Add 3. Subtract 7 ¸ (9 – 2) – 4 + 35 ¸ 7 – 4 + 32 35 ¸ 7 – 4 + 9 5–4+9 1+9 32 Steps 1. Parentheses 2. Exponents 3. Divide 4. Subtract 5. Add 10 Problem: 52 – 6 ¸ 2 + 1 25 – 6 ¸ 2 + 1 25 – 3 + 1 22 + 1 Steps 1. Exponents 2. Divide 3. Subtract 4. Add Problem: 5)2 (2 x + (3 x 6) 102 + 18 100 + 18 Steps 1. Parentheses 2. Exponents 3. Add 118 23 Try some practice problems and see if your answers match up. 1. (5 - 2) + 9 ¸ 3 = 6 2. 15 x 2 – 42 = 14 3. 10 + (5 x 2)2 ¸ 20 = 15 4. 7 + 15 ¸ 3 x 4 - 3 = 24 5. (62 x 2) ¸ (8 x 2 – 7) = 8 6. 2 + (5 – 1) x 3 = 14 7. 1 x 52 – 5 + (32 x 5) = 65 8. (7 – (2 x 3)) + 4 - 22 = 1 9. 13 + 2 x (3 x 4 – 7)2 = 63