Order of Operations

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
OrderThe order of operations can be remembered
by a simple acronym.

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

5
Parentheses

• When you have a set of parentheses, you work from
  the inside out. Example equation
• x(8-2)2(4x)
• If you have simple addition or subtraction inside
  the parentheses, make that calculation.
• x62(4x)
• You also use distribution to get rid of
  parentheses.
• x682x

6
Exponents

• If you are given an exponent on a single number,
  compute the value given.
• 4216
• If the exponent is on a quantity that can be
  reduced, compute the inside value as instructed
  in part one.
• (34)2(7)249
• If the exponent is on a quantity that cannot be
  reduced, factor out the quantity.
• (x-5)2x2-10x25

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.

34-93 12-3 9
846-2 26-2 12-2 10
953 453 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.

87-4 15-4 11
38-219 179 26
9
Example

• 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.

• 3-124(223)3
• -94 (223)3
• -2.25(43) 3
• -2.25(12) 3
• -2.251728
• 1725.75

10
Example

• However when the correct order is used, the
  correct answer will be the out come.

• 3-124(223)3
• 3-124(26)3
• 3-124(8)3
• 3-124512
• 3-3512
• 512