How to Use MDAS

How to Use MDAS Video

What is MDAS?

MDAS stands for Multiplication, Division, Addition, and Subtraction. It is part of the Order of Operations, a collection of rules that gives a sequence for simplifying mathematical operations . It is used when an expression or equation has more than one operation. According to the order of operations , all multiplication or division must occur before addition or subtraction. For example, the expression \(6+4×5\) involves addition and multiplication. According to MDAS, simplify the multiplication portion of the expression before adding. Since \(4×5\) equals 20, rewrite the expression as \(6+20\), which equals 26.

Why do we use this system?

Recall that multiplication is repeated addition, which means multiplication is more powerful than addition. And division is repeated subtraction, which means division is more powerful than subtraction. Mathematicians developed the Order of Operations to simplify multiple operations in the order of their relative power.

How to simplify expressions

Since multiplication and division are equally powerful, evaluate these two operations simultaneously, working from left to right. Once all multiplication and division operations are simplified, evaluate addition and subtraction. Since addition and subtraction are equally powerful, evaluate these two operations simultaneously, working from left to right.

\(7-3+8\times5\)

This expression involves subtraction, addition, and multiplication. According to MDAS, simplify all multiplication or division before adding or subtracting. Therefore, start by simplifying \(8×5\).

\(\mathbf{7-3}+40\)

The two operations remaining in the expression are subtraction and addition. Since these operations are equal in power, read the expression from left to right and simplify the first operation, which is \(7-3\).

\(\mathbf{4+40}\)

Next, solve \(4+40\).

This means that \(7-3+8×5\) can be simplified to 44.

\(24\div4\times3\)

This expression involves division and multiplication. Since both operations are equal in power, read the expression from left to right and simplify the first operation, which is \(24÷4\).  Since \(24÷4=6\), rewrite the expression using 6.

\(\mathbf{6\times3}\)

Next, solve \(6×3\).

\(\mathbf{18}\)

This means that \(24÷4×3\) can be simplified to 18.

\(6+10×2÷4\)

This expression involves addition, multiplication, and division. According to MDAS, simplify all multiplication or division before adding or subtracting. Reading the expression from left to right, start by multiplying \(10×2\). Since \(10×2=20\), rewrite the expression using 20.

\(6+\mathbf{20\div4}\)

The two operations remaining in the expression are addition and division. According to MDAS, simplify all multiplication or division before adding or subtracting. Therefore, simplify \(20÷4\).

\(\mathbf{6+5}\)

Next, solve \(6+5\).

This means that \(6+10×2÷4\) can be simplified to 11.

\(5+81÷9×3-7\)

his expression involves addition, division, multiplication, and subtraction. According to MDAS, simplify all multiplication or division before adding or subtracting. Reading the expression from left to right, start by simplifying \(81÷9\).

\(5+\mathbf{9×3}-7\)

The three operations remaining in the expression are addition, multiplication, and subtraction. According to MDAS, simplify all multiplication or division before adding or subtracting. Therefore, simplify \(9×3\).

\(\mathbf{5+27} -7\)

The two operations remaining in the expression are addition and subtraction. Since both operations are equal in power, read the expression from left to right and simplify the first operation, which is \(5+27\).

\(\mathbf{32-7}\)

Next, solve \(32-7\).

This means that \(5+81÷9×3-7\) can be simplified to 25.

Hello! Today we are going to talk about MDAS . This acronym may look a little familiar because it is a part of the order of operations (PEMDAS). So PEMDAS stands for: parentheses, exponents, multiplication, division, addition, and subtraction. So MDAS is just this final part right here. It tells you in what order to perform operations in an expression. So we first have M and D, and then we have A and S. addition and subtraction when you simplify an expression. So, we want to complete all of the multiplication and division in order from left to right and then all of the addition and subtraction in order from left to right. It’s important that you group multiplication and division together and addition and subtraction together, because you can multiply and divide in any order, as long as it comes before addition and subtraction. And then the same thing with this—you can add and subtract in any order (typically you go from left to right).

So let’s try a few examples.

First, look for any multiplication or division. Here we have both, so we need to simplify them from left to right. Start by dividing 8 by 2.

Then, multiply 4 and 3.

Finally, perform any addition or subtraction. Subtract 12 from 84.

So, this expression simplifies to 72.

Let’s try another one!

Start by simplifying any multiplication or division in order from left to right. First, multiply 8 and 4.

Then, divide 9 by 3.

From here, simplify addition and subtraction in order from left to right. Add 16 and 32.

Finally, subtract 3 from 48.

So, the answer is 45.

Let’s try one last problem together before we go.

Start by simplifying any multiplication or division, in order from left to right. First, divide 18 by 3.

Then, multiply 4 and 9.

From here, simplify addition and subtraction in order from left to right. Subtract 2 from 6.

Then, add 4 and 36.

Finally, subtract 11 from 40.

And there you have it! I hope this video on MDAS was helpful. Thanks for watching, and happy studying!

MDAS Practice Questions

  Simplify the following using MDAS:

\(4+3×1+6-1\)

MDAS is part of the Order of Operations (PEMDAS):

Parentheses Exponents Multiply Divide Add Subtract

Multiplication and division need to be completed before addition and subtraction. For this example, the first step is \(3×1\).

\(4+3+6-1\)

From here, only addition and subtraction are left, so simply move from left to right. This simplifies to \(12\).

\(60×2+5-3+8×6-1\)

Multiplication and division need to be completed before addition and subtraction. For this example, the first step is \(60×2\), then \(8×6\). This leaves \(120+5-3+48-1\). From here, only addition and subtraction are left, so work from left to right. This simplifies to \(169\).

\(16÷2÷4+4×2-16×4\)

Multiplication and division need to be completed before addition and subtraction. For this example, the first step is \(16÷2÷4\). Working from left to right for this section, you are left with \(2\). Now, simplify \(4×2\) and \(16×4\). Now, the multiplication and division step is complete. \(2+8-64\)

From here, move on to addition and subtraction. Simplifying from left to right results in \(-54\).

\(24÷6+1+8+3×(-4)-11\)

Multiplication and division need to be completed before addition and subtraction. For this example, the first step is \(24÷6\) and \(3×-4\). Now we have \(4+1+8+(-12)-11\), which simplifies to \(-10\).

\(7+3-2.5×(-3)-0.5+3\)

Multiplication and division need to be completed before addition and subtraction. For this example, the first step is to simplify \(-2.5×(-3)\), which is \(7.5\). Rewrite the expression as \(7+3+7.5-0.5+3\), which simplifies to \(20\).

Return to Pre-Algebra Videos

by Mometrix Test Preparation | Last Updated: June 20, 2024

Treasure chest

Numbers & Quantities

Statistics and Probability

Statistics & Probability

Functions

More Learning Tools

Encyclopedia volume with math symbols on pages

Encyclopedia

Yellow math study tips lightbulb

Pen & Paper exercises

mdas problem solving solution

Excel / GeoGebra recipes

Bespectacled math expert wearing a purple tie

Tutor-on-Demand

All math

Junior Math

Multiplication Master

Multiplication Master

Treasure Trail

Treasure Trail

Wind Surfer

Wind Surfer

Stack n´load

Stack n´load

Language: English

Order of Operations (MDAS)

In this section, you are going to learn to use parentheses in your calculations. The reason to use parentheses is to change the order of operations. But what is the order of operations?

The order of operations decides in which order you do your calculations. At this stage, I call the order of operations MDAS (the initials of M ultiplication , D ivision , A ddition and S ubtraction) .

Video Crash Courses

Want to watch animated videos and solve interactive exercises about MDAS? Click here to try the Video Crash Course called “What Is the Order of Operations?”!

First, do all M ultiplication and D ivision.

Then, do all A ddition and S ubtraction.

Let’s take a look at some examples:

Calculate 6 + 3 ⋅ 2 .

Now, think MDAS. First you multiply and divide, then you add and subtract. Here’s how you do it:

Calculate 4 − 2 ⋅ 6 + 3 .

Think MDAS. First you multiply and divide, then you add and subtract. Here’s how you do it:

Calculate 1 2 ÷ 4 − 6 + 8 ⋅ 5 .

Think MDAS. First you multiply and divide, then you add and subtract. Here is how you do it:

Calculate 7 2 ÷ 8 − 6 ⋅ 4 + 1 6 + 3 2 ÷ 8 .

White arrow pointing to the right

Order of Operations Exercises

Order of operations practice problems with answers.

There are nine (9) problems below that can help you practice your skills in applying the order of operations to simplify numerical expressions. The exercises have varying levels of difficulty which are designed to challenge you to be more extra careful in every step while you apply the rules of the Order of Operations. Good luck!

Part 1: Order of Operations problems involving addition, subtraction, multiplication, and division

Problem 1: Simplify the numerical expression below.

7-24➗8✖️4+6

Problem 2: Simplify the numerical expression below.

18➗3-7+2✖️5

Problem 3: Simplify the numerical expression below.

6×4➗12+72➗8-9

Part 2: Order of Operations problems involving the four arithmetic operations and parenthesis (or nested grouping symbols)

Problem 4: Simplify the numerical expression below.

(17-6➗2)+4✖️3

Problem 5: Simplify the numerical expression below.

-2(1×4-2➗2)+(6+2-3)

Problem 6: Simplify the numerical expression below.

-1×[(3-4×7)➗5]-2×24➗6

Part 3: Order of Operations problems involving the four arithmetic operations, parentheses and exponents

Problem 7: Simplify using the Order of Operations.

(3*5^2/15)-(5-2^2)

Problem 8: Simplify using the Order of Operations.

(1^4*2^2+3^3)-2^5/4

Problem 9: Simplify using the Order of Operations.

(22/2-2*5)^2+(4-6/6)^2

Take a Quiz

  • Order of Operations Quiz

You might also like these tutorials:

  • Order of Operations
  • PEMDAS Rule

softschools.com

  • Kindergarten
  • Middle School
  • High School
  • Math Worksheets
  • Language Arts
  • Social Studies

Order of Operations MD|AS

mdas problem solving solution

More Topics

  • Handwriting
  • Difference Between
  • 2020 Calendar
  • Online Calculators
  • Multiplication

Educational Videos

  • Coloring Pages
  • Privacy policy
  • Terms of Use

© 2005-2020 Softschools.com

Notification Bell

Order of Operations (MDAS)

Sean Steel

Order of Operations using MDAS. No parentheses, exponents, or integers.

Loading ad...

  • Google Classroom
  • Microsoft Teams
  • Download PDF

Order of Operations (MDAS)

PEMDAS Help

Press 'H' from the main screen to show this help screen. Click on the headers to see the individual sections. Click the × button or outside the help screen to exit.

This is an online calculator that can toggle between MDAS and carrying out calculations as they are being entered. When MDAS is on, order of operations will be followed. For example, 3 + 2 * 5 = 13, as the multiplication is calculated before the addition. When MDAS is off, a subtotal will be calculated and displayed continuously as calculations are entered. For example, 3 + 2 * 5 = 25, as the operations are calculated in the order they are entered.

Display - left section

The 3 indicators on the left are:

Display - right section

There is a limit of 8 digits; accordingly, the maximum result your calculation can return is 99,999,999 and the minimum value it can return is -99,999,999. Results outside these limits will cause the calculator to error out. Also please note that due to the display limits, precision will be an issue past 7 decimal points.

MDAS toggle button

The MDAS ( M ultiplication, D ivision, A ddition, and S ubtraction) toggle button determines whether calculations will follow order of operations, or be calculated continuously. When MDAS is on, order of operations will be followed. For example, 3 + 2 * 5 = 13, as the multiplication is calculated before the addition. When MDAS is off, a subtotal will be calculated and displayed continuously as calculations are entered. For example, 3 + 2 * 5 = 25, as the operations are calculated in the order they are entered. Note that only the '+', '-', '×' and '÷' operators are affected by the MDAS setting. Toggling the button will clear all running totals, calculations, and the current display value. If you need to carry a value between settings, use the memory functions.

ON/C button

Press this button once to set the current display value to 0. Press it a second time to clear all calculations/running totals.

Operations buttons

When MDAS is on, the operations buttons can be pressed more than once in succession to operate with the current display value. For example 3+= would return 6 (3 + 3). 3++= would return 9 (3 + 3 + 3). 3++**-= would return 30 (3 + 3 + 3 * 3 * 3 - 3). Pressing the equals button more than once does nothing. When MDAS is off, pressing the operations buttons more than once would cause the operation to be performed on the current display value. For example 3++**-= would return 0 (since the last display value of 20736 would be subtracted by itself). Pressing equals more than once repeats the last operation. For example 3+2*5=== would return 625 (25 * 5 * 5).

'+/-', '%' and '√' buttons

The '+/-' button toggles the display value from positive to negative. You can see the current status on the indicator. The '√' button calculates the square root of the current display number in place. The '%' button calculates the percent of the last displayed number in place. For example, 12+10% would display 1.2. If there is no last displayed number, it will return the display number divided by 100. For example 10% would return 0.1. Neither the '√' or the '%' buttons are affected by the MDAS setting.

Memory buttons

The three buttons which store and retrieve a number from memory are M+, M-, and MRC. You can see if the memory has a non-zero value by looking at the indicator. M+ adds the current display value to memory. M- subtracts the current display value from memory. If adding or subtracting the current value to the memory value would cause an overflow, the addition/subtraction will not be made and the calculator will error out. When pressed once, pressing MRC R ecalls the memory value. Pressing MRC a second time will C lear the memory.

Keyboard shortcuts

A MDAS calculator is a tool that calculates using an order of operations to ensure calculations are accurate. It's typically used when solving arithmetic expressions in order to avoid mistakes. The order of operation it follows is; Multiplication, Division, Addition, and Subtraction.

This calculator is a handy tool for any student or an average Joe or Jane.

MDAS stands for Multiplication, Division, Addition, and Subtraction. It's a simple formula that helps to solve math problems easily and accurately.

MDAS Calculator is a simple online tool that you can use to calculate the value of each step of MDAS. It's great for speed work before solving the problem in your head or on paper.

Other Tools

RGB To Hex Color Converter Fuel Cost Calculator Roman And Arabic Numeral Converter Triangle Area Calculator

HOME | PRIVACY POLICY | CONTACT US | TERMS

  • Member login
  • Pre-algebra lessons
  • Pre-algebra word problems
  • Algebra lessons
  • Algebra word problems
  • Algebra proofs
  • Advanced algebra
  • Geometry lessons
  • Geometry word problems
  • Geometry proofs
  • Trigonometry lessons
  • Consumer math
  • Baseball math
  • Math for nurses
  • Statistics made easy
  • High school physics
  • Basic mathematics store
  • SAT Math Prep
  • Math skills by grade level
  • Ask an expert
  • Other websites
  • K-12 worksheets
  • Worksheets generator
  • Algebra worksheets
  • Geometry worksheets
  • Free math problem solver
  • Pre-algebra calculators
  • Algebra Calculators
  • Geometry Calculators
  • Math puzzles
  • Math tricks

Order of operations word problems

Learn how to write order of operations word problems into numerical expressions and learn how to solve them using the order of operations.

Example #1: Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost in dollar.

Example #2: Robert bought 2 burgers for $3.50 each and 3 medium French fries for $1.20 each. Write a numerical expression to represent this situation and then find the cost. 

Example #3: Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for 5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then find Martha's profit?

Example #4: John bought 3 pants for 25 dollars each and paid with a one hundred-dollar bill. Write a numerical expression to represent this situation and then find how much money John gets back from the cashier?

Tricky order of operations word problems

Example #5:

The price of a shirt is 100 dollars. The store manager gives a discount of 50 dollars. A man and his brother bought 4 shirts and then share the cost with his brother. Write a numerical expression to represent this situation and then find the price paid by each brother.

Example #6: Peter withdrew 1000 dollars from his bank account today. He uses 500 to fix his car. Then, he divide the money into 5 equal parts and gave away 4 parts and kept 1 part for himself. Finally, he took to wife to the restaurant and spent 60 dollars on meals. Write a numerical expression to represent this situation and then find how much money Peter has now?

Take a look also at the order of operations word problem below

Order of operations word problem

order of operations

Applied math

Calculators.

100 Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended

About me :: Privacy policy :: Disclaimer :: Donate   Careers in mathematics  

Copyright © 2008-2021. Basic-mathematics.com. All right reserved

  • Kindergarten
  • Greater Than Less Than
  • Measurement
  • Multiplication
  • Place Value
  • Subtraction
  • Punctuation
  • 1st Grade Reading
  • 2nd Grade Reading
  • 3rd Grade Reading
  • Cursive Writing

Mdas Problem Solving

Mdas Problem Solving - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Mixed word problems, Sample work from, Order of operations pemdas practice work, Mixed word problems, Order of operations basic, Order of operations multiple choose the one, Finding the greatest common factor of whole numbers, Order of operations.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Mixed word problems

2. sample worksheet from https://www.mathmammoth, 3. order of operations -- pemdas practice worksheets, 4. mixed word problems, 5. order of operations: basic, 6. order of operations multiple choice. choose the one ..., 7. finding the greatest common factor of whole numbers, 8. order of operations.

PrepScholar

Choose Your Test

  • Search Blogs By Category
  • College Admissions
  • AP and IB Exams
  • GPA and Coursework

The PEMDAS Rule: Understanding Order of Operations

author image

General Education

feature_math_operations_yellow

Everyone who's taken a math class in the US has heard the acronym "PEMDAS" before. But what does it mean exactly? Here, we will explain in detail the PEMDAS meaning and how it's used before giving you some sample PEMDAS problems so you can practice what you've learned.

PEMDAS Meaning: What Does It Stand For?

PEMDAS is an acronym meant to help you remember the order of operations used to solve math problems. It's typically pronounced "pem-dass," "pem-dozz," or "pem-doss."

Here's what each letter in PEMDAS stands for:

  • P arentheses
  • M ultiplication and D ivision
  • A ddition and S ubtraction

The order of letters shows you the order you must solve different parts of a math problem , with expressions in parentheses coming first and addition and subtraction coming last.

Many students use this mnemonic device to help them remember each letter: P lease E xcuse M y D ear A unt S ally .

In the United Kingdom and other countries, students typically learn PEMDAS as BODMAS . The BODMAS meaning is the same as the PEMDAS meaning — it just uses a couple different words. In this acronym, the B stands for "brackets" (what we in the US call parentheses) and the O stands for "orders" (or exponents). Now, how exactly do you use the PEMDAS rule? Let's take a look.

How Do You Use PEMDAS?

PEMDAS is an acronym used to remind people of the order of operations.

This means that you don't just solve math problems from left to right; rather, you solve them in a predetermined order that's given to you via the acronym PEMDAS . In other words, you'll start by simplifying any expressions in parentheses before simplifying any exponents and moving on to multiplication, etc.

But there's more to it than this. Here's exactly what PEMDAS means for solving math problems:

  • Parentheses: Anything in parentheses must be simplified first
  • Exponents: Anything with an exponent (or square root) must be simplified after everything in parentheses has been simplified
  • Multiplication and Division: Once parentheses and exponents have been dealt with, solve any multiplication and division from left to right
  • Addition and Subtraction: Once parentheses, exponents, multiplication, and division have been dealt with, solve any addition and subtraction from left to right

If any of these elements are missing (e.g., you have a math problem without exponents), you can simply skip that step and move on to the next one.

Now, let's look at a sample problem to help you understand the PEMDAS rule better:

4 (5 − 3)² − 10 ÷ 5 + 8

You might be tempted to solve this math problem left to right, but that would result in the wrong answer! So, instead, let's use PEMDAS to help us approach it the correct way.

We know that parentheses must be dealt with first. This problem has one set of parentheses: (5 − 3). Simplifying this gives us 2 , so now our equation looks like this:

4 (2)² − 10 ÷ 5 + 8

The next part of PEMDAS is exponents (and square roots). There is one exponent in this problem that squares the number 2 (i.e., what we found by simplifying the expression in the parentheses).

This gives us 2 × 2 = 4. So now our equation looks like this:

4 (4) − 10 ÷ 5 + 8    OR    4 × 4 − 10 ÷ 5 + 8

Next up is multiplication and division from left to right . Our problem contains both multiplication and division, which we'll solve from left to right (so first 4 × 4 and then 10 ÷ 5). This simplifies our equation as follows:

Finally, all we need to do now is solve the remaining addition and subtraction from left to right :

The final answer is 22. Don't believe me? Insert the whole equation into your calculator (written exactly as it is above) and you'll get the same result!

body_math_homework

Sample Math Problems Using PEMDAS + Answers

See whether you can solve the following four problems correctly using the PEMDAS rule. We'll go over the answers after.

Sample PEMDAS Problems

11 − 8 + 5 × 6

8 ÷ 2 (2 + 2)

7 × 4 − 10 (5 − 3) ÷ 2²

√25 (4 + 2)² − 18 ÷ 3 (3 − 1) + 2³

Answer Explanations

Here, we go over each problem above and how you can use PEMDAS to get the correct answer.

#1 Answer Explanation

This math problem is a fairly straightforward example of PEMDAS that uses addition, subtraction, and multiplication only , so no having to worry about parentheses or exponents here.

We know that multiplication comes before addition and subtraction , so you'll need to start by multiplying 5 by 6 to get 30:

11 − 8 + 30

Now, we can simply work left to right on the addition and subtraction:

11 − 8 + 30 3 + 30 = 33

This brings us to the correct answer, which is 33 .

#2 Answer Explanation

If this math problem looks familiar to you, that's probably because it went viral in August 2019 due to its ambiguous setup . Many people argued over whether the correct answer was 1 or 16, but as we all know, with math there's (almost always!) only one truly correct answer.

So which is it: 1 or 16?

Let's see how PEMDAS can give us the right answer. This problem has parentheses, division, and multiplication. So we'll start by simplifying the expression in the parentheses, per PEMDAS:

While most people online agreed up until this point, many disagreed on what to do next: do you multiply 2 by 4, or divide 8 by 2?

PEMDAS can answer this question: when it comes to multiplication and division, you always work left to right. This means that you would indeed divide 8 by 2 before multiplying by 4.

It might help to look at the problem this way instead, since people tend to get tripped up on the parentheses (remember that anything next to a parenthesis is being multiplied by whatever is in the parentheses):

Now, we just solve the equation from left to right:

8 ÷ 2 × 4 4 × 4 = 16

The correct answer is 16. Anyone who argues it's 1 is definitely wrong — and clearly isn't using PEMDAS correctly!

body_simple_math_problem_chalkboard

#3 Answer Explanation

Things start to get a bit trickier now.

This math problem has parentheses, an exponent, multiplication, division, and subtraction. But don't get overwhelmed — let's work through the equation, one step at a time.

First, per the PEMDAS rule, we must simplify what's in the parentheses :

7 × 4 − 10 (2) ÷ 2²

Easy peasy, right? Next, let's simplify the exponent :

7 × 4 − 10 (2) ÷ 4

All that's left now is multiplication, division, and subtraction. Remember that with multiplication and division, we simply work from left to right:

7 × 4 − 10 (2) ÷ 4 28 − 10 (2) ÷ 4 28 − 20 ÷ 4 28 − 5

Once you've multiplied and divided, you just need to do the subtraction to solve it:

28 − 5 = 23

This gives us the correct answer of 23 .

#4 Answer Explanation

This problem might look scary, but I promise it's not! As you long as you approach it one step at a time using the PEMDAS rule , you'll be able to solve it in no time.

Right away we can see that this problem contains all components of PEMDAS : parentheses (two sets), exponents (two and a square root), multiplication, division, addition, and subtraction. But it's really no different from any other math problem we've done.

First, we must simplify what's in the two sets of parentheses:

√25 (6)² − 18 ÷ 3 (2) + 2³

Next, we must simplify all the exponents — this includes square roots, too :

5 (36) − 18 ÷ 3 (2) + 8

Now, we must do the multiplication and division from left to right:

5 (36) − 18 ÷ 3 (2) + 8 180 − 18 ÷ 3 (2) + 8 180 − 6 (2) + 8 180 − 12 + 8

Finally, we solve the remaining addition and subtraction from left to right:

180 − 12 + 8 168 + 8 = 176

This leads us to the correct answer of 176 .

What's Next?

Another math acronym you should know is SOHCAHTOA. Our expert guide tells you what the acronym SOHCAHTOAH means and how you can use it to solve problems involving triangles .

Studying for the SAT or ACT Math section? Then you'll definitely want to check out our ultimate SAT Math guide / ACT Math guide , which gives you tons of tips and strategies for this tricky section.

Interested in really big numbers? Learn what a googol and googolplex are , as well as why it's impossible to write one of these numbers out.

Trending Now

How to Get Into Harvard and the Ivy League

How to Get a Perfect 4.0 GPA

How to Write an Amazing College Essay

What Exactly Are Colleges Looking For?

ACT vs. SAT: Which Test Should You Take?

When should you take the SAT or ACT?

Get Your Free

PrepScholar

Find Your Target SAT Score

Free Complete Official SAT Practice Tests

How to Get a Perfect SAT Score, by an Expert Full Scorer

Score 800 on SAT Math

Score 800 on SAT Reading and Writing

How to Improve Your Low SAT Score

Score 600 on SAT Math

Score 600 on SAT Reading and Writing

Find Your Target ACT Score

Complete Official Free ACT Practice Tests

How to Get a Perfect ACT Score, by a 36 Full Scorer

Get a 36 on ACT English

Get a 36 on ACT Math

Get a 36 on ACT Reading

Get a 36 on ACT Science

How to Improve Your Low ACT Score

Get a 24 on ACT English

Get a 24 on ACT Math

Get a 24 on ACT Reading

Get a 24 on ACT Science

Stay Informed

Get the latest articles and test prep tips!

Follow us on Facebook (icon)

Hannah received her MA in Japanese Studies from the University of Michigan and holds a bachelor's degree from the University of Southern California. From 2013 to 2015, she taught English in Japan via the JET Program. She is passionate about education, writing, and travel.

Ask a Question Below

Have any questions about this article or other topics? Ask below and we'll reply!

Order of Operations PEMDAS

"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 ...

7 + (6 × 5 2 + 3)

... what part should you calculate first? Start at the left and go to the right? Or go from right to left?

Warning: Calculate them in the wrong order, and you can get a wrong answer !

So, long ago people agreed to follow rules when doing calculations, and they are:

Order of Operations

Do things in Parentheses First

  4 × (5 + 3) = 4 × 8 =  
  4 × (5 + 3) = 20 + 3 = (wrong)

Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract

  5 × 2 = 5 × 4 =  
  5 × 2 = 10 = (wrong)

Multiply or Divide before you Add or Subtract

  2 + 5 × 3 = 2 + 15 =  
  2 + 5 × 3 = 7 × 3 = (wrong)

Otherwise just go left to right

  30 ÷ 5 × 3 = 6 × 3 =  
  30 ÷ 5 × 3 = 30 ÷ 15 = (wrong)

How Do I Remember It All ... ? PEMDAS !

arentheses first
xponents (ie Powers and Square Roots, etc.)
ultiplication and ivision (left-to-right)
ddition and ubtraction (left-to-right)

Divide and Multiply rank equally (and go left to right).

Add and Subtract rank equally (and go left to right)

So do it this way:

After you have done "P" and "E", just go from left to right doing any "M" or "D" as you find them.

Then go from left to right doing any "A" or "S" as you find them.

You can remember by saying " P lease E xcuse M y D ear A unt S ally".

Pudgy Elves May Demand A Snack
Popcorn Every Monday Donuts Always Sunday
Please Eat Mom's Delicious Apple Strudels
People Everywhere Made Decisions About Sums

You may prefer GEMS ( G rouping, E xponents, M ultiply or Divide, Add or S ubtract). In the UK they say BODMAS (Brackets, Orders, Divide, Multiply, Add, Subtract). In Canada they say BEDMAS (Brackets, Exponents, Divide, Multiply, Add, Subtract). It all means the same thing! It doesn't matter how you remember it, just so long as you get it right.

Example: How do you work out 3 + 6 × 2 ?

M ultiplication before A ddition:

First 6 × 2 = 12 , then 3 + 12 = 15

Example: How do you work out (3 + 6) × 2 ?

P arentheses first:

First (3 + 6) = 9 , then 9 × 2 = 18

Example: How do you work out 12 / 6 × 3 / 2 ?

M ultiplication and D ivision rank equally, so just go left to right:

First 12 / 6 = 2 , then 2 × 3 = 6 , then 6 / 2 = 3

A practical example:

ball throw

Example: Sam threw a ball straight up at 20 meters per second, how far did it go in 2 seconds?

Sam uses this special formula that includes the effects of gravity:

height = velocity × time − (1/2) × 9.8 × time 2

Sam puts in the velocity of 20 meters per second and time of 2 seconds:

height = 20 × 2 − (1/2) × 9.8 × 2 2

Now for the calculations!

The ball reaches 20.4 meters after 2 seconds

Exponents of Exponents ...

What about this example?

Exponents are special: they go top-down (do the exponent at the top first). So we calculate this way:

Start with:   4
3 = 3×3:   4
4 = 4×4×4×4×4×4×4×4×4:   262144

So 4 3 2 = 4 (3 2 ) , not (4 3 ) 2

And finally, what about the example from the beginning?

logo

Have an account?

Suggestions for you See more

Quiz image

Adding and Subtracting Integers

17.1k plays, 6th -  7th  , multiplication, 26.8k plays, 4th -  7th  , multiplication and division facts, 22.9k plays, multiplication and division one step equ..., order of operations, 7th -  8th  , one step equations, 5th -  6th  , addition and subtraction facts practice, 1st -  5th  .

pencil-icon

order of operations (mdas)

5th - 7th grade, mathematics.

User image

10 questions

Player avatar

Introducing new   Paper mode

No student devices needed.   Know more

  • 1. Multiple Choice Edit 45 seconds 1 pt 12 - 4 x 2 =  16 4 8 18
  • 2. Multiple Choice Edit 2 minutes 1 pt 15 + 7 × 2 – 11 + 35= 38 251 53 50
  • 3. Multiple Choice Edit 45 seconds 1 pt What would be my first step? 3 + 4 x 6 - 4 = addition multiplication subtraction exponents
  • 4. Multiple Choice Edit 1 minute 1 pt 14 + 8 x 7 - 3 =  46 122 88 67
  • 5. Multiple Choice Edit 45 seconds 1 pt 18 − 4 × 2 =  28 16 10 12
  • 6. Multiple Choice Edit 45 seconds 1 pt 2 x 9 ÷ 3 = 5 7 8 6
  • 7. Multiple Choice Edit 45 seconds 1 pt 18 + 2 x 4 = 80 26 24 13
  • 8. Multiple Choice Edit 45 seconds 1 pt 2 x 9 ÷ 3 = 5 7 8 6
  • 9. Multiple Choice Edit 45 seconds 1 pt Solve. 25 - 14 + 3 = 14 8 11 10

Explore all questions with a free account

Google Logo

Continue with email

Continue with phone

Visit our websites: Math4kids CoolMathGames Teachers Parents Coding

More on MDAS

Just so you know, you don't REALLY have to go left to right with addition and subtraction .  Sometimes, it's easier to do it by gathering up all your " plus " guys and gathering up all your " minus " guys:

welcome to coolmath

We use first party cookies on our website to enhance your browsing experience, and third party cookies to provide advertising that may be of interest to you.

You can accept or reject cookies on our website by clicking one of the buttons below. Rejecting cookies may impair some of our website’s functionality.

To understand more about how we and our advertising partners use cookies or to change your preference and browser settings, please see our Global Privacy Policy .

Helping with Math

Basic Order of Operations (MDAS) (Soccer Themed) Worksheets

Download basic order of operations (mdas) (soccer themed) worksheets.

Click the button below to get instant access to these premium worksheets for use in the classroom or at a home.

mdas problem solving solution

Download this Worksheet

This download is exclusively for Helping With Math Premium members!

To download this worksheet collection, click the button below to signup (it only takes a minute) and you'll be brought right back to this page to start the download!

Edit this Worksheet

Editing worksheet collections is available exclusively for Helping With Math Premium members.

To edit this worksheet collection, click the button below to signup (it only takes a minute) and you'll be brought right back to this page to start editing!

This worksheet can be edited by Premium members using the free Google Slides online software. Click the  Edit  button above to get started.

Download free sample

Not ready to purchase a subscription yet? Click here to download a FREE sample of this worksheet pack.

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. 

M – ultiplication D – ivision A – ddition S – subtraction

Why does MDAS important in solving math problems?

  • It ensures that people can all read and solve a problem in the same way. 
  • Without a standard order of operations, formulas for real-world calculations in finance and science would be useless—and; 
  • It would be difficult to know if you were getting the right answer on a math test!

This is a fantastic bundle which includes everything you need to know about Basic Order of Operations (MDAS) across 21 in-depth pages.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards ? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

Resource Examples

Click any of the example images below to view a larger version.

mdas problem solving solution

Worksheets Activities Included

Ages 7-8 (Basic)

  • Recruitment Day
  • Try Out Day 1
  • No Pain, No Gain
  • Pre-Game Routine
  • Team Captain Says

Ages 8-9 (Advanced)

  • The Goalkeeper’s Dilemma
  • Break a Leg!
  • The 1st Goal
  • Making the Winning Kick

Even More Math Worksheets

  • Basic Concepts of Fractions (Zoo Themed) Worksheets
  • Counting Numbers (Basic) (Easter Themed) Math Worksheets
  • Basic Operations of Decimals (Hanukkah Themed) Math Worksheets
  • Basic Operations of Whole Numbers (All Saints' Day Themed) Math Worksheets
  • Order of Operations (PEMDAS) (Work from Home Themed) Worksheets
  • History of Mathematics (History Themed) Math Worksheets
  • Calendar (World Holidays Themed) Math Worksheets
  • Basic Shapes Kindergarten Math Worksheets
  • Exponents (Museum Themed) Worksheets

Lifetime Membership Offer

Exclusive, limited time offer! One payment, lifetime access.

While we continue to grow our extensive math worksheet library, you can get all editable worksheets available now and in the future. We add 100+ K-8, common core aligned worksheets every month.

To find out more and sign up for a very low  one-time payment , click now!

Similar Worksheets

The worksheets listed below are suitable for the same age and grades as Basic Order of Operations (MDAS) (Soccer Themed).

Estimating Quotient (National Comic Book Day Themed) Math Worksheets

Estimating Quotient (National Comic Book Day Themed) Math Worksheets

August Free Bundle of Worksheets

August Free Bundle of Worksheets

Multiplying Mixed Numbers by Fractions 5th Grade Math Worksheets

Multiplying Mixed Numbers by Fractions 5th Grade Math Worksheets

Dividing Mixed Numbers by Fractions 5th Grade Math Worksheets

Dividing Mixed Numbers by Fractions 5th Grade Math Worksheets

July Free Bundle of Worksheets

July Free Bundle of Worksheets

Grade 1 Geometry Free Bundle

Grade 1 Geometry Free Bundle

Grade 1 Measurement and Data Free Bundle

Grade 1 Measurement and Data Free Bundle

Grade 1 Operations and Algebraic Thinking Free Bundle

Grade 1 Operations and Algebraic Thinking Free Bundle

Grade 1 Number and Operations in Base Ten Free Bundle

Grade 1 Number and Operations in Base Ten Free Bundle

June Free Bundle of Worksheets

June Free Bundle of Worksheets

  • Solutions Integral Calculator Derivative Calculator Algebra Calculator Matrix Calculator More...
  • Graphing Line Graph Exponential Graph Quadratic Graph Sine Graph More...
  • Calculators BMI Calculator Compound Interest Calculator Percentage Calculator Acceleration Calculator More...
  • Geometry Pythagorean Theorem Calculator Circle Area Calculator Isosceles Triangle Calculator Triangles Calculator More...
  • Tools Notebook Groups Cheat Sheets Worksheets Study Guides Practice Verify Solution

Practice

x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div x^{\circ} \pi
\left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x)
▭\:\longdivision{▭} \times \twostack{▭}{▭} + \twostack{▭}{▭} - \twostack{▭}{▭} \left( \right) \times \square\frac{\square}{\square}
  • Pre Algebra Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Number Line Expanded Form Mean, Median & Mode
  • Algebra Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Interval Notation Pi (Product) Notation Induction Prove That Logical Sets Word Problems
  • Pre Calculus Equations Inequalities Scientific Calculator Scientific Notation Arithmetics Complex Numbers Coterminal Angle Polar/Cartesian Simultaneous Equations System of Inequalities Polynomials Rationales Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic Sections Trigonometry
  • Calculus Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform
  • Functions Line Equations Functions Arithmetic & Comp. Conic Sections Transformation
  • Linear Algebra Matrices Vectors
  • Trigonometry Identities Proving Identities Trig Equations Trig Inequalities Evaluate Functions Simplify
  • Statistics Mean Geometric Mean Quadratic Mean Average Median Mode Order Minimum Maximum Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge Standard Normal Distribution
  • Physics Mechanics
  • Chemistry Chemical Reactions Chemical Properties
  • Finance Simple Interest Compound Interest Present Value Future Value
  • Economics Point of Diminishing Return
  • Conversions Roman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians Hexadecimal Scientific Notation Distance Weight Time Volume
  • Pre Algebra
  • Two-step without parentheses
  • Two-step with parentheses
  • Three/four steps without parentheses
  • Three/four steps with parentheses
  • Multi-step without parentheses
  • Multi-step with parentheses
  • Prime Factorization
  • Negative Factors
  • Positive Factors
  • Odd Factors
  • Even Factors
  • Biggest Factor
  • Equivalent Fractions
  • Add, Subtract
  • Add, Subtract Like Denominators
  • Add, Subtract Unlike Denominators
  • Multiply with Whole Number
  • Divide with Whole Number
  • Mixed Numbers
  • Complex Fractions
  • Improper Fractions
  • Negative Reciprocal
  • Long Addition
  • Long Subtraction
  • Long Multiplication
  • Long Division
  • Long Division with Remainder
  • Add/Subtract
  • Multiplication
  • Decimal to Fraction
  • Fraction to Decimal
  • Negative Exponent
  • Square Root
  • Ratios & Proportions

Number Line

  • Expanded Form
  • Pre Calculus
  • Linear Algebra
  • Trigonometry
  • Conversions
x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div x^{\circ} \pi
\left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x)
- \twostack{▭}{▭} \lt 7 8 9 \div AC
+ \twostack{▭}{▭} \gt 4 5 6 \times \square\frac{\square}{\square}
\times \twostack{▭}{▭} \left( 1 2 3 - x
▭\:\longdivision{▭} \right) . 0 = + y
  • 3+4-5\cdot 6
  • 4+3-2\cdot 6(6-9)
  • 3\cdot(1+2)^{2}\div9-12(1+(3-2)^{3})^{2}
  • 3+4\div 2-5
  • (1+6\div 3)\div(6-5)

order-of-operations-calculator

  • Practice, practice, practice Math can be an intimidating subject. Each new topic we learn has symbols and problems we have never seen. The unknowing...

We want your feedback

Please add a message.

Message received. Thanks for the feedback.

IMAGES

  1. Basic Division and Multiplication

    mdas problem solving solution

  2. MTAP REVIEWER : #1 sequence, age problem, ratio and MDAS rule.

    mdas problem solving solution

  3. Basic DIVISION and How to follow MDAS properly? [Basic Math many failed to answer correctly]

    mdas problem solving solution

  4. Learn with Sir Kim: Math 4 MELC 8 Problem Solving & MDAS

    mdas problem solving solution

  5. GRADE 4 MATH

    mdas problem solving solution

  6. 2+6÷2×3

    mdas problem solving solution

VIDEO

  1. Used Laptop

  2. A wonderful BUSHCRAFT thing with your own hands and WOODEN chair in the forest!

  3. Enzyme -2

  4. Biggest What if In Cricket #shorts #viratkohli #trending #cricket

  5. Dji mavic air 2

  6. When Citizens Demand Unconstitutional Methods to Strip Them of Their Constitutional Rights

COMMENTS

  1. How to Use MDAS (Video & Practice Questions)

    The two operations remaining in the expression are addition and division. According to MDAS, simplify all multiplication or division before adding or subtracting. Therefore, simplify 20 ÷ 4 20 ÷ 4. 6 + 5 6 + 5. Next, solve 6 + 5 6 + 5. 11 11. This means that 6 + 10 × 2 ÷ 4 6 + 10 × 2 ÷ 4 can be simplified to 11.

  2. PDF Quarter 1

    Printed in the Philippines by: Department of Education - Division of Valencia City Office Address: Lapu-lapu Street, Poblacion, Valencia City 8709 Telefax: (088) 828-4615 Website: deped-valencia.org. 4. sQuarter 1 - Module 19:Week 10Performing Series of Operation (MDASThis instructional material was colla.

  3. Order of Operations (MDAS)

    Order of Operations (MDAS)

  4. MDAS = Multiplication, Division, Addition & Subtraction

    MDAS = Multiplication, Division, Addition & Subtraction 2 - Cool Math has free online cool math lessons, cool math games and fun math activities. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too.

  5. Order of Operations

    A = Addition. S = Subtraction. In the word P E MD AS, MD comes before AS ... So, the order of operations rule is that you... Always do. multiplication and division. before. addition and subtraction. continue.

  6. Order of Operations Practice Problems

    Order of Operations Practice Problems with Answers

  7. Step-by-Step Calculator

    To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the relevant information, define the variables, and plan a strategy for solving the problem. mdas. ... Math notebooks have been around for hundreds of years. You write down problems, solutions and notes to ...

  8. Order of Operations (Part 1) MD|AS

    Order of Operations MD|AS. When faced with a problem that has several operations, there is a certain order that should be followed to ensure the mathematically correct answer. Imagine that you are faced with the problem 16 + 9 ÷ 3 - 11. If we were to just work from left to right, we would actually get the wrong answer.

  9. Order of Operations

    This prealgebra-arithmetic lesson explains how to do order of operations with multiplication, division, addition and subtraction when you have more than just two operations in the same problem. Order of Operations - Cool math Pre-Algebra Help Lessons - More on MDAS

  10. Order of Operations (MDAS)

    Order of Operations (MDAS) worksheet

  11. Online MDAS Calculator

    MDAS stands for Multiplication, Division, Addition, and Subtraction. It's a simple formula that helps to solve math problems easily and accurately. MDAS Calculator is a simple online tool that you can use to calculate the value of each step of MDAS. It's great for speed work before solving the problem in your head or on paper. Other Tools

  12. PDF Order of Operations without Parentheses

    Demonstrate understanding on the order of operations in a numerical expression (without parentheses). Evaluate numerical expressions (without parentheses) using MDAS rule. Evaluate numerical expressions (without parentheses) using the funnel method. Solve problems involving numerical expressions, following the correct order of operations.

  13. Math Equation Solver

    Math Equation Solver | Order of Operations

  14. PDF Order of Operations without Parentheses

    Sample Problem 1: Solution: a. Which of the two solutions is correct and why? Solution Bis correct because the MDAS rule was followed. b. What makes the other one incorrect? Solution A is incorrect because even though the operations performed were from left to right, the MDAS rule needed to be followed.

  15. The PEMDAS Rule Explained! (Examples Included)

    The PEMDAS Rule Explained! (Examples Included)

  16. Order of Operations Word Problems with Solutions

    Example #1: Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost in dollar. Solution. 4 × 50 + 80. = 200 + 80. = 280 cents or 2.80 dollars. The total cost is 2.80 dollars.

  17. Mdas Problem Solving Worksheets

    Mdas Problem Solving. Mdas Problem Solving - Displaying top 8 worksheets found for this concept. Some of the worksheets for this concept are Mixed word problems, Sample work from, Order of operations pemdas practice work, Mixed word problems, Order of operations basic, Order of operations multiple choose the one, Finding the greatest common ...

  18. The PEMDAS Rule: Understanding Order of Operations

    The PEMDAS Rule: Understanding Order of Operations

  19. Order of Operations

    Order of Operations - PEMDAS

  20. order of operations (mdas)

    order of operations (mdas) quiz for 5th grade students. Find other quizzes for Mathematics and more on Quizizz for free! order of operations (mdas) quiz for 5th grade students. ... Solve. 7 - 6 + 5= 6. 4. 5-4. Answer choices . Tags . Answer choices . Tags . Explore all questions with a free account. Continue with Google. Continue with Microsoft.

  21. More on MDAS 5

    Web designers - KD Web. More on MDAS 5 - Cool Math has free online cool math lessons, cool math games and fun math activities. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too.

  22. Basic Order of Operations (MDAS) Math Worksheets

    It ensures that people can all read and solve a problem in the same way. Without a standard order of operations, formulas for real-world calculations in finance and science would be useless—and; It would be difficult to know if you were getting the right answer on a math test! Basic Order of Operations (MDAS) (Soccer Themed) Worksheets

  23. Order of Operations (PEMDAS) Calculator

    Order of Operations (PEMDAS) Calculator