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manipulative

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Use this applet to determine the volume of a box by filling it with cubes, rows of cubes, or layers of cubes. Determine the surface area as well by using the box's net.

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Game

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ABCya! * High-Stakes Heist - Learn Order of Operations

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Your mission, if you should choose to accept it, is to help Kit Foxtail get the townfolk's money back that was taken by the evil Duke Von Wolfington. In order to complete your mission, you will need to crack open some safes using your knowledge of the Order of Operations.

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Words to know and use!

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Math Antics

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Math Antics | Basic Math Videos and Worksheets

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Measuring Volume

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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Video- finding volume of composite figures

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Calculating the Volume of Irregular Shapes

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Math Antics

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Video and Practice

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Explanation, examples & practice pages!

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Welcome to the Math Salamanders PEMDAS rule page.

Here you will find help in using PEMDAS with some simple instructions and lots of worked examples.

Mathway.

PEMDAS is usually introduced around about 5th grade and changes the way that you look at and read calculations.

However, it is not as simple a rule as it seems - there are several pitfalls which are addressed below!

PEMDAS RULE

PEMDAS (sometimes referred to as PEMDAS, BEDMAS or BODMAS) is a mathematical acronym to help you understand how calculations work.

The acronym refers to the order in which any calculation shold be done, and is typically introduced at around the 5th grade level.

The acronym stands for the following:

P = Parentheses (Brackets)

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

One popular way to remember the PEMDAS rule is the saying:

'Please Excuse My Dear Aunt Sally'.

PEMDAS explained!

PEMDAS looks quite simple from the above example.

It is saying that you have to do calculations in parentheses (brackets) first, then exponents next, and so on...

However, the PEMDAS rule is not quite so straightforward as it seems.

This is because some of the operations have equal weighting, like multiplication and division, or addition and subtraction.

This is why some people call the rule PEDMAS instead.

A good way of looking at the rule is the diagram below.

This clearly shows that multiplication and division have equal weighting. It also shows addition and subtraction also have the same level of importance.

PEMDAS in 4 Simple Steps

Step 1) Do the parentheses (brackets).

Step 2) Do any exponents.

Step 3) Do any Multiplication OR Division left to right

Step 4) Do any Addition OR Subtraction left to right

PEMDAS Rule in Action!

So now we know what PEMDAS is, it is time to see how it works...

Here are the

Example of the PEMDAS rule

Example 1

3 + 4 x 5

The operations are addition and multiplication.

In PEMDAS, multiplication comes before addition.

So 3 + 4 x 5 = 3 + 20 = 23

Example 2

4 x (2 + 3)

The operations are multiplication and addition, there are also parentheses (brackets).

Using PEMDAS, the part in Parentheses must come first.

So 4 x (2 + 3) = 4 x 5 = 20

Example 3

There are Exponents, and Parentheses, as well as subtraction and multiplication.

Using PEMDAS, the part in Parentheses must come first.

Using PEMDAS, Exponents comes next.

So 2 ⁴ - 12 = 16 - 12 = 4

Example 4

12 ÷ 3 x 4

The operations are division and multiplication which have equal weighting.

So we just do the operations left to right.

So 12 ÷ 3 x 4 = 4 x 4 = 16

Example 5

4 - 5 + 3

The operations are addition and subtraction which have equal weighting.

Just do the operations from left to right.

So 4 - 5 + 3 = -1 + 3 = 2

Example 6 (harder)

There are exponents and parentheses as well as as addition and multiplication.

Using PEMDAS, the part in Parentheses must come first.

So (1 + 2) = 3

Next comes the exponent part:

Finally comes the multiplication:

4 x 9 = 36

Example 7 (harder)

6 x 4 ÷ 3 + 12 - 27 ÷ 3

There are all four operations here, so we need to do multiplication and division first.

6 x 4 ÷ 3 we can do left-to-right as multiplication and division have equal weighting.

6 x 4 ÷ 3 = 24 ÷ 3 = 8

This gives us 8 + 12 - 27 ÷ 3

We need to do the division first.

27 ÷ 3 = 9

This leaves us with 8 + 12 - 9.

We can do this calculation left-to-right as all the operations have the same weighting.

8 + 12 - 9 = 20 - 9 = 11

So 6 x 4 ÷ 3 + 12 - 27 ÷ 3 = 24 ÷ 3 + 12 - 9 = 8 + 12 - 9 = 20 - 9 = 11

PEMDAS Problems Worksheets

The sheets in this section involve using parentheses and exponents in simple calculations.

There are also lots of worksheets designed to practice and learn about PEMDAS.

Using these worksheets will help your child to:

know and understand how parentheses works;

understand how exponents work in simple calculations.

understand and use PEMDAS to solve a range of problems.

Recommended Math Resources

Take a look at some more of our worksheets similar to this theme.

Balancing Math Equations Worksheets

The sheets in this area will help your child understand the use and purpose of the equals sign (=) in an equation.

It will also help children learn to start manipulating and calculating numerical expressions so that they are equivalent.

This will stand them in good stead for when they start to learn algebra, and manipulate algebraic equations.

5th Grade Mental Math Quizzes

Here you will find a range of printable mental math 5th grade quizzes for your child to enjoy.

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

How to Print or Save these sheets

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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Welcome to the Math Salamanders PEMDAS rule page. Here you will find help in using PEMDAS with some simple instructions and lots of worked examples. Mathway. PEMDAS is usually introduced around about 5th grade and changes the way that you look at and read calculations.

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khan Academy

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Intro to order of operations (video) | Khan Academy

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This example shows the steps and clarifies the purpose of order of operations: to have ONE way to interpret a mathematical statement.

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Can you count them all?

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Spatial Reasoning - visualize cube placements
Problem Solving - determine the number of cubes on the screen

Common Core Connection for Grades 3+

Reason with shapes and their attributes.
Draw and identify lines and angles.
Analyze 2 dimensional shapes.

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Play Cube Perspective at MathPlayground.com! Locate all of the cubes.

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Khan Academy

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Sal covers figures with square units to find their area.