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Order of Operations

Order of Operations. Parentheses Exponents Multiplication Division Addition Subtraction. Table of Contents. Explanation - Why is the order of operations important? Order - What is the exact order?

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Order of Operations

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  1. Order of Operations Parentheses Exponents Multiplication Division Addition Subtraction

  2. Table of Contents • Explanation- Why is the order of operations important? • Order- What is the exact order? • Example- See the difference between using the order and not using the ordering.

  3. Explanation • When given an equation, people might not think order is important. However if the order of operations is not followed, then the wrong answer might be reached. On the other hand, if the simple order is followed then the correct answer will be reached.

  4. Parentheses Exponents Multiplication Division Addition Subtraction Please Excuse My Dear Aunt Sally OrderThe order of operations can be remembered by a simple acronym.

  5. Parentheses • When you have a set of parentheses, you work from the inside out. Example equation… x*(8-2)+2(4+x) • If you have simple addition or subtraction inside the parentheses, make that calculation. x*6+2(4+x) • You also use distribution to get rid of parentheses. x*6+8+2x

  6. Exponents • If you are given an exponent on a single number, compute the value given. 42=16 • If the exponent is on a quantity that can be reduced, compute the inside value as instructed in part one. (3+4)2=(7)2=49 • If the exponent is on a quantity that cannot be reduced, factor out the quantity. (x-5)2=x2-10x+25

  7. Multiplication and Division • As you work from left to right, make all multiplication and divisions as they come. • The order between multiplication and division does not matter. 3*4-9÷3= 12-3= 9 8÷4*6-2 = 2*6-2 = 12-2 = 10 9*5÷3= 45÷3= 15

  8. Addition and Subtraction • Just like multiplication and division, work from left to right. • Also just like multiplication and division, order does not matter on if you first add or subtract. 8+7-4= 15-4= 11 38-21+9= 17+9= 26

  9. If you just work left to right without the specific order, then you will come out with the wrong answer. The correct answer to this problem is 512. 3-12÷4+(2+2*3)3 -9÷4 +(2+2*3)3 -2.25+(4*3) 3 -2.25+(12) 3 -2.25+1728 1725.75 Example

  10. However when the correct order is used, the correct answer will be the out come. 3-12÷4+(2+2*3)3 3-12÷4+(2+6)3 3-12÷4+(8)3 3-12÷4+512 3-3+512 512 Example

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