What is the simplified value of the following mathematical expression? 45 \div 5 \times 3 … — State PSC Exam

What is the simplified value of the following mathematical expression?

45 \div 5 \times 3 + [18 - \{14 - (8 - 3)\}]

Answer: 36

Following the BODMAS rule step by step:
1. Innermost parenthesis:

8 - 3 = 5

.
2. Curly braces:

14 - 5 = 9

.
3. Square brackets:

18 - 9 = 9

.
4. Left-to-right division and multiplication:

45 \div 5 \times 3 = 9 \times 3 = 27

.
5. Addition:

27 + 9 = 36

Evaluate the innermost round brackets

8 - 3 = 5

According to the BODMAS rule, operations inside the innermost brackets must be solved first.

Evaluate the expression inside the curly braces

14 - 5 = 9

Substitute the result from the round brackets into the curly braces.

Evaluate the expression inside the square brackets

18 - 9 = 9

Substitute the result from the curly braces into the square brackets.

Perform Division and Multiplication from left to right

45 / 5 * 3 = 9 * 3 = 27

Division and multiplication have equal precedence and must be evaluated strictly from left to right.

Add the result of the bracket terms to the result of the arithmetic terms

27 + 9 = 36

Final addition yields the simplified result.

BODMAS Rule (Brackets, Orders, Division and Multiplication left-to-right, Addition and Subtraction left-to-right)

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