Simplification & Approximation – Speed Booster for Exams

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Simplification & Approximation – Speed Booster for Exams

📊 Quantitative Aptitude – Simplification & Approximation

Simplification and Approximation help in solving mathematical expressions quickly using basic operations. These topics are essential for improving calculation speed in competitive exams like IBPS, SBI, and SSC.

BODMAS Rule (Order of Solving)

• Brackets
• Orders (powers, roots)
• Division
• Multiplication
• Addition
• Subtraction

Example: 8 + 4 × 2 = 8 + 8 = 16

Shortcut Tricks

Approximation Method:

• 49 ≈ 50
• 198 ≈ 200
• 302 ≈ 300

Example: 198 × 49 ≈ 200 × 50 = 10000

Multiplication Shortcut:

99 × 48 = (100 × 48) – 48 = 4752

Fraction to Percentage:

• 1/2 = 50%
• 1/4 = 25%
• 1/5 = 20%
• 1/8 = 12.5%

Approximation Rules

• Use when options are far apart
• Use for large numbers
• Avoid when exact value is required

Practice Questions

Q1. 198 × 49 ≈ ?
Answer: 10000 (Approx)

Q2. 512 ÷ 8 = ?
Answer: 64

Q3. 999 × 7 = ?
Answer: 6993

Q4. (25 × 4) + (36 ÷ 6) = ?
Answer: 106

Speed Strategy

• Use approximation first
• Apply base methods (100, 1000)
• Avoid long multiplication
• Check options quickly

Practice Task

1. 497 × 18 (approximate)
2. 1001 × 9
3. 144 ÷ 12

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