Order of Operations Game (Integers)

This Online Order of Operations Game (Integers) is a great way to put your skills to the test in a fun environment. By practicing, you’ll be able to follow the PEMDAS rule using mental math.

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Order of Operations Game (Integers)

The best way to get good at following the PEMDAS or BODMAS rule is to do it often. This Order of Operations Game (Integers) is an interactive and engaging web-based application designed to help users practice and improve their skills through mental math.

Performing the order of operations for integers is essential for solving mathematical expressions correctly. It’s a set of rules that tells you the sequence in which to perform calculations. The most common way to remember this order is with the acronym PEMDAS. Scroll down the page if you need a more detailed explanation.

This Order of Operations Game (Integers) will test you with addition, subtraction, multiplication, division, and parenthesis of integers. Division problems will only be generated when you select “Without” parenthesis. This allows the game to correctly adjust the numbers to ensure all division results are integers. It has an option to select either 3 or 4 terms to customize the difficulty. It also has a 60-second timer, encouraging players to solve the problems quickly and efficiently.

Order of Operations

Practice with integers, +, -, *, /, and ( ).
Note: Division only appears when parenthesis is 'Without'.

How to Play the Order of Operations Game (Integers)
This game is designed to help you practice your order of operations skills ((), +, -, ×, ÷)in a fun environment.
Here’s how to play:

Parenthesis: Select with or without parenthesis. Division problems will only be generated when you select “Without” parenthesis. This allows the game to correctly adjust the numbers to ensure all division results are integers.
Enter Number of Terms: Enter 3 or 4 terms to customize the difficulty.
Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
Look at the Problem: You’ll see numbers at the top of the box. Your goal is to solve the problem using PEMDAS.
Enter Your Answer: Type your answer into the box with the question mark ?.
Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
Get a New Problem: Click the Next button (or press Enter again) for a new problem.
Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
Back to Menu Click “Back to Menu” to restart the game.

What is PEMDAS?
PEMDAS stands for:
Parentheses: Solve any calculations inside parentheses or other grouping symbols first.
Exponents: Next, evaluate any terms with exponents.
Multiplication and Division: Perform all multiplication and division operations from left to right.
Addition and Subtraction: Finally, perform all addition and subtraction operations from left to right.

How to use PEMDAS
Order of Operations (PEMDAS) Lesson
To solve a problem, you work through the PEMDAS steps in order. If you encounter multiplication and division in the same problem, you work from left to right. The same rule applies to addition and subtraction. Here’s a worked-out example using positive and negative integers:

Example
Problem: −5+(3×4)÷(−2)−1
Step 1: Parentheses
First, solve the operation inside the parentheses: (3×4).
3×4=12
The problem becomes: −5+12÷(−2)−1
Step 2: Exponents
There are no exponents in this problem, so you can skip this step.
Step 3: Multiplication and Division
Next, solve the division: 12÷(−2). Remember that a positive number divided by a negative number results in a negative number.
12÷(−2)=−6
The problem becomes: −5+(−6)−1
Step 4: Addition and Subtraction
Now, perform the remaining operations from left to right.
First, the addition: −5+(−6). Adding a negative number is the same as subtracting a positive number.
−5+(−6)=−11
The problem becomes: −11−1
Finally, the subtraction:
−11−1=−12
The final answer is -12.

The video gives a clear, step-by-step approach to walk through the process of using PEMDAS for the order of operations with integers.

Show Video

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