This is an independent topic guide, not the official syllabus. Compare it with the current paper outline and rules published by the examination authority.
01 / UNDERSTANDING
Learning objectives
Study brackets, powers, equal-precedence operations and sign preservation. The objective is a sequence of equivalent expressions in which every simplification step can be independently checked.
02 / UNDERSTANDING
The concept in context
An expression has a structure, not just a left-to-right list of symbols. Evaluate grouped terms first, then powers where present, then multiplication and division at equal precedence from left to right, followed by addition and subtraction at equal precedence. Brackets can deliberately change the order and therefore change the result.
03 / UNDERSTANDING
A worked learning case
Original educational case. In the original expression 18 ÷ 3 × 2 + 4, division and multiplication are processed left to right, giving 6 × 2 + 4 = 16. Evaluating 3 × 2 first would incorrectly give 7. In contrast, 18 ÷ (3 × 2) + 4 really is 7, because the brackets specify a different structure.
ORIGINAL EDUCATIONAL PRACTICE
Try it before you check.
Original practice: Evaluate 24 ÷ 6 × 2 + 3.
Show the answer and reasoning
11.
Division and multiplication have equal precedence, so process them left to right: 24 ÷ 6 = 4, then 4 × 2 = 8. Add 3 to obtain 11. Multiplying 6 by 2 first would introduce an unstated grouping and incorrectly change the structure of the original expression.
Two traps to watch for.
- Treating multiplication as always earlier than division.
- Dropping brackets or negative signs in intermediate working.
YOUR TOPIC-SPECIFIC LEARNING MAP
Your revision map
Mark grouped terms before calculating.
Process equal-precedence operations left to right.
Compare with a bracketed version deliberately.
Explain the idea, apply it to a new situation, then check what changed in your reasoning.
BANKERS TUTORIAL · SOURCE NOTES
Keep the source alongside your notes.
Official links provide subject context and authoritative reference material. This guide’s explanation, scenario and question are original Bankers Tutorial learning content.
- www.ibps.in https://www.ibps.in/
- www.ibps.in https://www.ibps.in/index.php/faq/
For IBPS & RRB preparation, check the current official notice before relying on changing dates, rules or examination requirements.
