Order of Operations Practice

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In this section, we finish up our review of whole numbers by discussing the order of operations. When we tackle a problem with multiple operations
it can often cause confusion as to which operation is to be performed in which order. Let’s suppose we saw the following problem:

4 + 2 x 3

How would we know whether to add 4 and 2, or multiply 2 times 3 to get started? The order of operations solves this type of dilemma and enables all parties to get a consistent answer. We generally use the acronym PEMDAS to remember the order of operations.

PEMDAS:^{2}

P: Look for parentheses or grouping symbols - none are present

E: Look for exponents, we see that we have 2^{2} which evaluates to 4

5 x 4 + 4

M, D: Look for multiplication and/or division, we see that we have 5 x 4 which evaluates to 20

20 + 4

A, S: Look for addition and/or subtraction, we see that we have 20 + 4 which evaluates to 24, this is our answer

5 x 4 + 2^{2} = 24

4 + 2 x 3

How would we know whether to add 4 and 2, or multiply 2 times 3 to get started? The order of operations solves this type of dilemma and enables all parties to get a consistent answer. We generally use the acronym PEMDAS to remember the order of operations.

PEMDAS:

- P: Stands for Parentheses - this is where we begin, work inside of any parentheses or grouping symbols
- E: Stands for Exponents - we next evaluate all exponent operations
- M, D: Stands for Multiply or Divide - working from left to right
- A, S: Stands for Addition or Subtraction - working from left to right

P: Look for parentheses or grouping symbols - none are present

E: Look for exponents, we see that we have 2

5 x 4 + 4

M, D: Look for multiplication and/or division, we see that we have 5 x 4 which evaluates to 20

20 + 4

A, S: Look for addition and/or subtraction, we see that we have 20 + 4 which evaluates to 24, this is our answer

5 x 4 + 2

Order of Operations Resources:

Videos:

Math Antics - Video
Khan Academy - Video
Virtual Nerd - Video
Text Lessons:

Cool Math 4 Kids - Text Lesson
Math is Fun - Text Lesson
Purple Math - Text Lesson
Worksheets:

K5 Learning - Worksheet
Math Drills - Worksheet
ED-Helper - Worksheet
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