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

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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

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● 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

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