UrbanPro
true

Take Class I-V Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Order of Operations

A
Amrtha S.
06/04/2017 0 0

The information below explains PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction

When you have a math problem that involves more than one operation—for example, addition and subtraction, or subtraction and multiplication—which do you do first?

Example #1: 6 – 3 x 2 = ?

  • Do you do the subtraction first (6 – 3 = 3) and then the multiplication (3 x 2 = 6)?
  • Or do you start with the multiplication (3 x 2 = 6) and then subtract (6 – 6 = 0)?

PEMDAS

In cases like these, we follow the order of operations. The order in which operations should be done is abbreviated as PEMDAS:

  1. Parentheses
  2. Exponents
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

(One way to memorize this is to think of the phrase Please Excuse MDear Aunt Sally.)

  • In the above example, we're dealing with multiplication and subtraction. Multiplication comes a step before Subtraction, so first we multiply 3 x 2, and then subtract the sum from 6, leaving 0.

Example #2: 30 ÷ 5 x 2 + 1 = ?

  • There are no Parentheses.
  • There are no Exponents.
  • We start with the Multiplication and Division, working from left to right.
    NOTE: Even though Multiplication comes before Division in PEMDAS, the two are done in the same step, from left to right. Addition and Subtraction are also done in the same step.
  • 30 ÷ 5 = 6, leaving us with 6 x 2 + 1 = ?
  • 6 x 2 = 12, leaving us with 12 + 1 = ?
  • We then do the Addition: 12 + 1 = 13

Note that if we'd done the multiplication before the division, we'd have ended up with the wrong answer:

  • 5 x 2 = 10, leaving 30 ÷ 10 + 1 = ?
  • 30 ÷ 10 = 3, leaving 3 + 1 = ?
  • 3 + 1 = 4 (off by 9!)

One last example for advanced students, using all six operations:

Example #3: 5 + (4 – 2)2 x 3 ÷ 6 – 1 = ?

  • Start with the Parentheses: 4 – 2 = 2. (Even though subtraction is usually done in the last step, because it's in parentheses, we do this first.) That leaves 5 + 22 x 3 ÷ 6 – 1 = ?
  • Then Exponents: 22 = 4. We now have 5 + 4 x 3 ÷ 6 – 1= ?
  • Then Multiplication and Division, starting from the left: 4 x 3 = 12, leaving us with 5 + 12 ÷ 6 – 1 = ?
  • Then moving to the right: 12 ÷ 6 = 2, making the problem 5 + 2 – 1 = ?
  • Then Addition and Subtraction, starting from the left: 5 + 2 = 7, leaving 7 – 1 = ?
  • Finally, moving to the right: 7 – 1 = 6
0 Dislike
Follow 0

Please Enter a comment

Submit

Other Lessons for You


Verb formation (लोट् लकार = Request or Order )
लोट् लकार (अनुज्ञा, Imperative Mood) पुरुष एकवचन द्विवचन बहुवचन प्रथमपुरुष तु ...

Maths Problem will not be a problem ,because
Dear Students , When I was in school I was bit lazy and didnt try to solve the question , just look at its concept and move on. and as a result of which I lost 8 marks to 100 , and also not able to meet...

Notepad habit
A notepad should be carried with the student, in which he/she writes formulas or theorems or rules related to topic in any subject , which are important for exams. This notepad things should be read regularly...

Lines and Angles: Definitions & Properties
Line segment: A line segment has two end points with a definite length. Ray: A ray has one end point and infinitely extends in one direction. Straight line: A straight line has neither starting nor end...
A

Amit Dubey

1 0
0
X

Looking for Class I-V Tuition Classes?

The best tutors for Class I-V Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class I-V Tuition with the Best Tutors

The best Tutors for Class I-V Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more