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BANKERS TUTORIAL · IBPS & RRB · ORIGINAL PRACTICE & ANALYSIS

Practice & review: Simplification and the structure of expressions

Evaluate brackets, powers and arithmetic in the correct order, distinguish equal-precedence operations from a memorised acronym and use a short equivalent expression to check the final result.

01 / 03Learn with a clear direction

2 min read Original learning material · Prepared 14 Oct 2026

The worked question on this page is original educational practice. It is not represented as a question from an official previous-year examination paper.

01 / UNDERSTANDING

Review the question

Prepare original pairs differing only by brackets. Ask why their answers differ, making the operation-order rule explicit instead of rewarding an answer produced by a fragile mnemonic.

02 / UNDERSTANDING

The concept in context

A mnemonic is useful only when its equal-precedence rules are understood. Multiplication does not universally happen before division merely because its letter appears first in a remembered word. Write intermediate lines that preserve the expression’s meaning; changing a bracket or dropping a negative sign creates a different problem rather than a shorter solution.

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

Learn from the attempt

  1. Mark grouped terms before calculating.

  2. Process equal-precedence operations left to right.

  3. 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.

  1. www.ibps.in https://www.ibps.in/
  2. 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.

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