Easy Multiplication Tricks with Step by Step Examples and Short Methods
The concept of Multiplication Tricks plays a key role in mathematics and is widely applicable to both real-life situations and exam scenarios. Mastering multiplication tricks helps students solve math problems faster, avoid calculation errors, and save time during competitive exams. These tricks are especially useful in mental maths, daily arithmetic, and sharpening your calculation skills.
What Is Multiplication Tricks?
A multiplication trick is a quick shortcut or method that helps multiply numbers easily and accurately. You’ll find this concept applied in areas such as mental maths, Vedic math techniques, and competitive exam preparation. Multiplication tricks can range from finger tricks for small numbers to special formulas for multiplying numbers near 10, 100, or 1000.
Key Formulas for Multiplication Tricks
Here are some standard formulas and methods used as multiplication tricks:
| Trick Name | Formula/Method | Example |
|---|---|---|
| Multiplying by 9 | \( 9 \times n = (10 \times n) - n \) | \( 9 \times 6 = 60 - 6 = 54 \) |
| Multiplying by 11 (2-digits) | If \( ab \), then \( a \) + \( b \) in between | \( 23 \times 11 = 2 \, (2+3=5) \, 3 = 253 \) |
| Base 100 Shortcut | For numbers near 100: First part: \( n_1 + (n_2-100) \) or vice versa Second part: \( (100-n_1)\times(100-n_2) \) |
\( 98 \times 97 = 95 \) | \( 02 \times 03 = 06 \) ⇒ 9506 |
Cross-Disciplinary Usage
Multiplication tricks are not only useful in Maths but also play an important role in Physics, Computer Science, and daily logical reasoning. Students preparing for JEE, NTSE, or Olympiads will see their relevance in calculation-heavy questions and problem-solving scenarios.
Step-by-Step Illustration
- Multiply 27 × 11 using the two-digit multiplication trick:
1. Separate the digits: 2 _ 7
2. Add the digits: 2 + 7 = 9
3. Place sum in the middle: 2 9 7 ⇒ 297
Speed Trick or Vedic Shortcut
Here’s a quick shortcut that helps solve problems faster when working with Multiplication Tricks. Many students use this trick during timed exams to save crucial seconds.
Example Trick: To quickly multiply two numbers close to 100 (like 96 × 98), use this:
- Subtract each number from 100:
100 − 96 = 4, and 100 − 98 = 2
- Add cross-wise: 96 − 2 or 98 − 4 = 94
This becomes the first part of the answer: 94
- Multiply the two differences: 4 × 2 = 8
This becomes the second part: 08 (two digits)
- Final Answer: 9408
Tricks like this aren’t just cool — they’re practical in competitive exams like NTSE, Olympiads, and even JEE.
Try These Yourself
- Multiply 8 × 9 using a shortcut instead of regular multiplication.
- Quickly find 45 × 11 using the digit sum trick.
- Use the base-100 method for 97 × 96.
- Multiply 5 × 86 using the halving and tens trick.
Frequent Errors and Misunderstandings
- Forgetting to add carried numbers in two-digit-by-11 multiplication.
- Not padding zeros in tricks where the second part must be two digits (e.g., 1009, not 109).
- Mixing up order in cross-multiplication methods.
- Relying solely on tricks and neglecting multiplication fundamentals.
Relation to Other Concepts
The idea of Multiplication Tricks connects closely with topics such as Multiplication Tables and 3-digit and multi-step arithmetic. Mastering this helps with understanding more advanced concepts in algebra and number theory. Fast multiplication enhances your ability to solve word problems, algebraic simplifications, and even helps in mental estimation.
Classroom Tip
A quick way to remember the "multiply by 9" trick: For any number 1–10, the product’s digits add up to 9 (9×3=27, 2+7=9). Vedantu’s teachers often use finger methods and number patterns in live classes to make multiplication tricks memorable and fun.
We explored Multiplication Tricks—from definition, formula, examples, mistakes, and connections to other subjects. Continue practicing with Vedantu to become confident in solving problems using this concept. For more practice, you can also visit Multiplying Fractions and BODMAS Rule for related arithmetic skills.
FAQs on Multiplication Tricks for Fast and Accurate Calculations
1. What are multiplication tricks in Maths?
Multiplication tricks are shortcuts and strategies that help you calculate products faster without long multiplication. These tricks simplify mental math and reduce calculation time.
- They use patterns and number properties.
- They are useful for competitive exams and quick calculations.
- Examples include tricks for multiplying by 9, 11, 25, and numbers near 100.
2. How do you multiply a number by 9 quickly?
To multiply a number by 9, multiply it by 10 and subtract the original number. The shortcut formula is: 9 × n = (10 × n) − n.
- Example: 9 × 7
- Step 1: 10 × 7 = 70
- Step 2: 70 − 7 = 63
3. What is the trick to multiply by 11?
To multiply a two-digit number by 11, add its digits and place the sum in between them. For a two-digit number AB, the result is A (A+B) B.
- Example: 11 × 23
- 2 + 3 = 5
- Answer = 253
4. How do you multiply numbers close to 100 easily?
To multiply numbers close to 100, subtract each number from 100 and use cross-subtraction. This method is based on the identity (100 − a)(100 − b).
- Example: 96 × 98
- 100 − 96 = 4, 100 − 98 = 2
- Cross subtract: 96 − 2 = 94
- Multiply deficits: 4 × 2 = 8
- Final answer = 9408
5. What is the easiest way to multiply by 25?
To multiply by 25, divide the number by 4 and multiply by 100. The shortcut is: n × 25 = (n ÷ 4) × 100.
- Example: 25 × 16
- 16 ÷ 4 = 4
- 4 × 100 = 400
6. How can you multiply large numbers mentally?
You can multiply large numbers mentally by breaking them into smaller parts using the distributive property: a × (b + c) = a×b + a×c.
- Example: 23 × 14
- 23 × (10 + 4)
- = 23×10 + 23×4
- = 230 + 92 = 322
7. What is the lattice or grid method in multiplication?
The lattice method is a visual multiplication trick that uses a grid system to organize partial products. Each box in the grid contains the product of digits, split into tens and ones.
- Draw a grid based on digit count.
- Multiply each pair of digits.
- Add diagonally to get the final answer.
8. How do you square a number ending in 5 quickly?
To square a number ending in 5, multiply the first digit(s) by the next whole number and append 25. The formula is: (n5)² = n × (n+1) | 25.
- Example: 35²
- 3 × 4 = 12
- Attach 25 → 1225
9. What are common mistakes in multiplication tricks?
Common mistakes in multiplication tricks include calculation errors and ignoring place value. These mistakes reduce accuracy in mental math.
- Forgetting to carry over digits.
- Misplacing zeros in base methods.
- Adding digits incorrectly in the ×11 trick.
- Not adjusting for deficits properly in base 100 method.
10. Why are multiplication tricks useful for competitive exams?
Multiplication tricks are useful for competitive exams because they save time and improve calculation speed. Fast arithmetic is crucial in quantitative aptitude tests.
- Reduces dependency on rough work.
- Improves mental maths ability.
- Helps solve problems under time pressure.
