Order of Operations PEMDAS Operations 'Operations' mean things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation. But, when you see something like. The Spotlight calculator respects the PEMDAS rule. As a rule, as long as its associated mathematical symbol is found on the standard iOS keyboard, an operation can be performed with the Spotlight.
Menu and widgets. Search for: Punpedia The Online Encyclopedia of Puns. Tag: pemdas Math Puns. Welcome to the Punpedia entry on math puns! PEMDAS Widget is a simple yet powerful calculator for Dashboard in OS X. Not only does PEMDAS Widget let you work with equations, variables, different bases, and many functions, but since it runs in Dashboard, it's lightweight and is always just a key press away. PEMDAS Widget has many simple yet powerful features, outlined below. PEMDAS is an easy-to-use Dashboard widget that provides a scientific calculator with a simple interface. PEMDAS will allow you to calculate equations, variables, different bases, and more.
What is the Order of Operations?
The phrase “order of operations” or “PEMDAS” refers to the order in which you need to perform multiplication, division, addition, subtraction, and exponential operations in an equation.
To see the free study questions, please go to the next section.
Order of Operations – PEMDAS
The phrase PEMDAS is sometimes used to remember the correct order to perform operations in an equation.
PEMDAS means parentheses, exponents, division, multiplication, addition, and subtraction.
So, when you see an equation, you need to perform the operations from left to right in this order:
1) Parentheses – Do the operations inside parentheses or brackets first.
2) Exponents – Then perform the operations indicated by the exponents.
3) Multiplication and Division – Then do the multiplication and division from left to right.
4) Addition and Subtraction – Then do the addition and subtraction from left to right.
Some students remember the rule “PEMDAS” by using the phrase:
PEMDAS: Please Excuse My Dear Aunt Sally
Let’s look at a couple of problems on PEMDAS or order of operations.
Order of Operations PEMDAS – Basic Example
Now study this example of how to carry out the order of operations “PEMDAS” rule.
Example: 1 + 64 ÷ 4 ÷ 2 × 5 – 3 = ?
Answer: 38
In this problem, we do not have any parentheses or exponents to deal with.
So, start by doing the multiplication and division first.
Multiplication and division are performed in the same step, so you need to divide and then multiply from left to right as shown below when you have division and multiplication together like in this example.
1 + 64 ÷ 4 ÷ 2 × 5 – 3 =
1 + (64 ÷ 4) ÷ 2 × 5 – 3 =
1 + 16 ÷ 2 × 5 – 3 =
1 + (16 ÷ 2) × 5 – 3 =
1 + 8 × 5 – 3 =
1 + (8 × 5) – 3 =
1 + 40 – 3
Then do the addition and subtraction from left to right.
1 + 40 – 3 =
41 – 3 = 38
Order of Operations PEMDAS – Advanced Example
Let’s look at a more difficult example of how to carry out the order of operations “PEMDAS” rule.
Example: (4 + 5)2 + 9 ÷ 3 – 2 × 6 = ?
Answer: 72
Do the operations in the parentheses first.
(4 + 5)2 + 9 ÷ 3 – 2 × 6 =
(9)2 + 9 ÷ 3 – 2 × 6
Then do the exponential operation.
92 + 9 ÷ 3 – 2 × 6 =
(9 × 9) + 9 ÷ 3 – 2 × 6 =
81 + 9 ÷ 3 – 2 × 6
Next do the multiplication and division from left to right.
81 + 9 ÷ 3 – 2 × 6 =
81 + (9 ÷ 3) – 2 × 6 =
81 + 3 – 2 × 6 =
81 + 3 – (2 × 6) =
81 + 3 – 12
Then do the addition and subtraction from left to right.
81 + 3 – 12 =
Pemdas With Parentheses
Pemdas With Modulus
(81 + 3) – 12 =
84 – 12 = 72
Order of Operations PEMDAS – Further Practice
If you found these exercises difficult, you should try our pre-algebra problems.
If you are testing in college math, you may also want to look at our other algebra study materials.
Pemdas Widget Meaning
Here is the rubric I will be using to assess your PEMDAS story project:
| Category | 4 | 3 | 2 | 1 |
| Creativity | The story contains many creative and/or descriptions that contribute to the reader’s enjoyment. The author really has used his/her imagination. | The story contains a few creative details and/or descriptions that contribute to the reader’s enjoyment. The author has used his/her imagination. | The story contains a few creative details and/or descriptions, but they distract from the story. The author has tried to use his/ her imagination. | There is little evidence of creativity in the story. The author does not seem to have used much imagination. |
| Prezi Sequencing of Information | Information is organized in a clear, logical way. It is easy to anticipate the type of material that might be on the next card. | Most information is organized in a clear, logical way. One card or item of information seems to be out of place. | Some information is logically sequenced. An occasional card or item of information seems out of place. | There is no clear plan for the organization of information. |
| Focus on Assigned Topic | The entire story is related to the Order and Operations and allows the reader to understand much more about the topic. | Most of the story is related to the Order of Operations. The story wanders off at one point, but the reader can still learn something about the topic. | Some of the story is related to the Order of Operations, but a reader does not learn much about the topic. | No attempt has been made to relate the story to the Order of Operations. |
| Math Expression Requirements | Math expression contains at least one addition, subtraction, multiplication, or division, one set of parentheses, and one exponent. | Math expression is missing one of the three requirements: at least one addition, subtraction, multiplication or division, one set of parentheses, and one exponent. | Math expression is missing two of the three requirements: at least one addition, subtraction, multiplication or division, one set of parentheses, and one exponent. | Math expression does not have any of the requirements: at least one addition, subtraction, multiplication or division, one set of parentheses, and one exponent |
| Simplifying the Math Expression | Math expression was simplified correctly using the Order of Operations. | Math expression was not simplified correctly with one error using the Order of Operations. | Math expression was not simplified correctly with two errors using the Order of Operations. | Math expression was not simplified or has many errors. |
| Text – Font Choice & Formatting | Font formats (e.g., color, bold, italic) has been carefully planned to enhance readability and content. | Font formats have been carefully planned to enhance readability. | Font formatting has been carefully planned to complement the content. It may be a little hard to read. | Font formatting makes it very difficult to read the material. |
| Cooperation | Group delegates tasks and shares responsibility effectively all of the time. | Group delegates tasks and shares responsibility effectively most of the time. | Group delegates tasks and shares responsibility effectively some of the time. | Group often is not effective in delegating tasks and/or shares responsibility |
** You can show me your math expression and how your simplified it before you start on your Prezi. I can approve it or help you make changes.