Copyright

How to Simplify Expressions with Integers

How to Simplify Expressions with Integers
Coming up next: Dividing Integers: Rules & Terminology

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 0:01 Integer Expressions
  • 0:48 Order of Operations
  • 2:48 Example 1
  • 3:46 Example 2
  • 4:33 Lesson Summary
Save Save Save

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will be able to simplify any integer expression by following the order of operations. Learn what to watch for and in what order to do your operations.

Integer Expressions

Suzie is just returning to school after a long and fun summer vacation. She went swimming in the ocean and camping in the mountains. She didn't have to think about math one bit! But now, on her first day back, what do you think her teacher decides to do? Her teacher decides to give everybody a surprise welcome back quiz! It's a short quiz, but a quiz is still a quiz. Suzie is not enjoying this at all. Suzie looks at her quiz and finds problems like this:

Simplify (1 + 2) * 3

These are called integer expressions because they are mathematical expressions with integers or numbers. Integers are our positive and negative whole numbers.

Order of Operations

Suzie immediately realizes that she needs to follow the order of operations, the mathematical rule that tells you in what order to do your operations. She is relieved because she remembers PEMDAS, the acronym that helps you remember your order of operations. She remembers the phrase 'Please Excuse My Dear Aunt Sally'.

See, Suzie has an aunt named Sally. This particular Aunt Sally is so silly that she is always getting herself into messes. Like, she will accidentally trip over something while holding a cake and then have the cake splatter all over somebody else's car. So, Suzie found herself repeating the phrase, 'Please Excuse My Dear Aunt Sally' so many times over summer vacation that it has become second nature to her.

This is a good thing, because it helps Suzie remember the different operations. The P stands for 'parentheses', the E stands for 'exponents', the M stands for 'multiplication', the D stands for 'division', the A stands for 'addition', and the S stands for 'subtraction'. This tells Suzie that she first needs to work on her parentheses. If she sees parentheses, she goes inside them and then starts her order of operations again to simplify what is inside the parentheses. Then, when she's done with the parentheses, she continues with the rest of the expression.

So, for Suzie, simplifying the problem (1 + 2) * 3 is a piece of cake. She sees parentheses, so she goes inside them first and simplifies that expression, the 1 + 2. She gets 3 * 3. She is done with the parentheses, so she continues. She sees multiplication so she does that next. She gets an answer of 9. And she is done with that first problem.

Example 1

Her next problem is this one:

8 + 2^3 + 2*3

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account
Support