We will obey the rules** **for
simplifying an expression using BODMAS rules - involving integers for solving
order of operations.

Follow the order of operation as:

**1.** Bracket → Solve inside the **Brackets** before Of, Multiply, Divide, Add or Subtract.

**For example:**

7 × (15 + 5)

= 7 × 20

= 140

**2.** Of → Then, solve **Of **part
(Powers, Roots, etc.,) before Multiply, Divide, Add or Subtract.

**For
example:**

6 + 3 of 7 - 5

= 6 + 3 × 7 - 5

= 6 + 21 - 5

= 27 - 5

= 22

**3.** Division/Multiplication → Then, calculate **Multiply** or **Divide**
before Add or Subtract start from left to right.

**For
example:**

20 + 21 ÷ 3 × 2

= 20 + 7 × 2

= 20 + 14

= 34

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

17 + (8 - 5) × 5

= 17 + 3 × 5

= 17 + 15

= 32

**Worked-out
problems for solving BODMAS rules - involving integers:**

**Simplify using BODMAS
rule:**

**(a)** 25 - 48 ÷ 6
+ 12 × 2

**Solution:**

25 - 48 ÷ 6 + 12 × 2

= 25 - 8 + 12 ×
2, (Simplifying ‘**division**’ 48 ÷ 6 = 8)

= 25 - 8 + 24,
(Simplifying ‘**multiplication**’ 12 ×
2 = 24)

= 17 + 24, (Simplifying ‘**subtraction**’ 25 - 8 = 17)

= 41, (Simplifying ‘**addition**’ 17 + 24 = 41)

**Answer: 41**

**(b)** 78 - [5 + 3
of (25 - 2 × 10)]

**Solution:**

78 - [5 + 3 of (25 - 2 × 10)]

= 78 - [5 + 3
of (25 - 20)], (Simplifying ‘**multiplication**’ 2 × 10 = 20)

= 78 - [5 + 3
of 5], (Simplifying ‘**subtraction**’ 25 - 20 = 5)

= 78 - [5 + 3 ×
5], (Simplifying ‘**of**’)

= 78 - [5 + 15], (Simplifying ‘**multiplication**’ 3 × 5 = 15)

= 78 - 20, (Simplifying ‘**addition**’ 5 + 15 = 20)

= 58, (Simplifying ‘**subtraction**’ 78 - 20 = 58)

**Answer: 58**

**(c)** 52 - 4 of (17
- 12) + 4 × 7

**Solution:**

52 - 4 of (17 - 12) + 4 × 7

= 52 - 4 of 5 +
4 × 7,
(Simplifying ‘**parenthesis**’ 17 - 12 = 5)

= 52 - 4 × 5 + 4
× 7, (Simplifying ‘**of**’)

= 52 - 20 + 4 ×
7, (Simplifying ‘**multiplication**’ 4 × 5 = 20)

= 52 - 20 + 28, (Simplifying ‘**multiplication**’ 4 × 7 = 28)

= 32 + 28, (Simplifying ‘**subtraction**’ 52 - 20 = 32)

= 60, (Simplifying ‘**addition**’ 32 + 28 = 60)

**Answer: 60**

● **Related Concept **

● Decimals

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● BODMAS/PEMDAS Rules - Involving Decimals

● PEMDAS Rules - Involving Integers

● PEMDAS Rules - Involving Decimals

● BODMAS Rules - Involving Integers

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

● Rounding Decimals to the Nearest Whole Number

● Rounding Decimals to the Nearest Tenths

● Rounding Decimals to the Nearest Hundredths

● Simplify Decimals Involving Addition and Subtraction Decimals

● Multiplying Decimal by a Decimal Number

● Multiplying Decimal by a Whole Number

● Dividing Decimal by a Whole Number

● Dividing Decimal by a Decimal Number

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