PEMDAS Rules - Involving Integers

We will follow the rules for simplifying an expression using PEMDAS rules - involving integers for solving order of operations.


Follow the order of operation as:

1. Parenthesis  Find the things inside the Parenthesis part before Exponent, Multiply, Divide, Add or Subtract.

For example:

6 × (11 + 3)

= 6 × 14

= 84

2. Exponent Then do the Exponent part (Powers, Roots, etc.,) before Multiply, Divide, Add or Subtract.

For example:

7 × 82 + 2

7 × 8 × 8 + 2

= 7 × 64 + 2

= 448 + 2

= 450


3. Multiplication/ Division  Then do Multiply or Divide part before Add or Subtract start from left to right.

For example:

5 × 3 + 6 ÷ 3

= 15 + 6 ÷ 3

= 15 + 2

= 17


4. Addition/Subtraction  At last do Add or Subtract start from left to right.

For example:

16 + (4 - 1) × 6

= 16 + 3 × 6

= 16 + 18

= 34

Worked-out problems for solving PEMDAS rules - involving integers:

Simplify using PEMDAS rule:

(a) 18 - 24 ÷ 6 + 3 × 5

Solution:

18 - 24 ÷ 6 + 3 × 5

= 18 - 4 + 3 × 5, (Simplifying ‘division’ 24 ÷ 6 = 4)

= 18 - 4 + 15, (Simplifying ‘multiplication’ 3 × 5 = 15)

= 14 + 15, (Simplifying ‘subtraction’ 18 - 4 = 14)

= 29, (Simplifying ‘addition’ 14 + 15 = 29)

Answer: 29


(b) 11 - [3 + 5 of (13 - 2 × 6)]

Solution:

11 - [3 + 5 of (13 - 2 × 6)]

= 11 - [3 + 5 of (13 - 12)], (Simplifying ‘multiplication’ 2 × 6 = 12)

= 11 - [3 + 5 of 1], (Simplifying inside the ‘parenthesis’ 13 - 2 = 1)

= 11 - [3 + 5 × 1], (Simplifying ‘of’)

= 11 - [3 + 5], (Simplifying ‘multiplication’ 5 × 1 = 5)

= 11 - 8, (Simplifying ‘add’ inside the ‘square brackets’ 3 + 5 = 8)

= 3, (Simplifying ‘subtraction’ 11 - 8 = 3)

Answer: 3


(c) 22 - 4 of (7 - 2) + 4 × 5

Solution:

22 - 4 of (7 - 2) + 4 × 5

= 22 - 4 of 5 + 4 × 5, (Simplifying inside the ‘parenthesis’ 7 - 2 = 5)

= 22 - 4 × 5 + 4 × 5

= 22 - 20 + 4 × 5, (Simplifying ‘of’ 4 × 5 = 20)

= 22 - 20 + 20, (Simplifying ‘multiplication’ 4 × 5 = 20)

= 2 + 20, (Simplifying ‘subtraction’ 22 - 20 = 2)

= 22, (Simplifying ‘addition’ 2 + 20 = 22)

Answer: 22

Related Concept

Decimals

Decimal Numbers

Decimal Fractions

Like and Unlike Decimals

Comparing Decimals

Decimal Places

Conversion of Unlike Decimals to Like Decimals

Decimal and Fractional Expansion

Terminating Decimal

Non-Terminating Decimal

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Mixed Recurring Decimal

BODMAS Rule

BODMAS/PEMDAS Rules - Involving Decimals

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals

PEMDAS Rule

BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions


7th Grade Math Problems

From PEMDAS Rules - Involving Integers to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. 2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic

    Dec 06, 23 01:23 AM

    2nd Grade Math Worksheet
    2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students.

    Read More

  2. Rupees and Paise | Paise Coins | Rupee Coins | Rupee Notes

    Dec 04, 23 02:14 PM

    Different types of Indian Coins
    Money consists of rupees and paise; we require money to purchase things. 100 paise make one rupee. List of paise and rupees in the shape of coins and notes:

    Read More

  3. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Dec 04, 23 01:50 PM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More