Multiplication without pen and paper Best Tricks 2023

Multiplication without pen and paper Best Tricks 2023

Multiplication without pen and paper can be a valuable skill, not only for mental agility but also for quick problem-solving. In this comprehensive explanation, I’ll delve into some advanced tricks and techniques for performing multiplication in your head. We’ll explore ten examples to illustrate these tricks. These methods are designed to help you handle larger numbers more efficiently and develop your mental math prowess.

**1. Split and Multiply: One of the most efficient tricks for multiplication is breaking down numbers into parts. For instance, let’s multiply 68 by 47.

• Split 68 into 60 and 8, and 47 into 40 and 7.
• Now, multiply these parts mentally: (60 * 40) + (60 * 7) + (8 * 40) + (8 * 7).
• Calculate each part separately: 2400 + 420 + 320 + 56.
• Add these results together: 2400 + 420 + 320 + 56 = 3196.

Multiplication without pen and paper

**2. Doubling and Halving with Addition: This method involves halving one number and doubling the other to simplify multiplication. Let’s find 17 multiplied by 8.

• Halve 17 to get 8.5 and double 8 to get 16.
• Now, multiply these: 8.5 * 16 = 136.

**3. Square Numbers: When you need to square a number, use this trick. For instance, find the square of 15.

• Break 15 into 10 and 5.
• Square 10 (10 * 10) to get 100.
• Square 5 (5 * 5) to get 25.
• Add these results together: 100 + 25 = 125.

**4. Cross Multiplication: This method works well for multiplying numbers that are close together, e.g., 98 by 102.

• Calculate the average of the two numbers: (98 + 102) / 2 = 100.
• Now, subtract this average from both numbers: 98 – 100 = -2 and 102 – 100 = 2.
• Multiply these differences: -2 * 2 = -4.
• Finally, add this result to the square of the average: (-4) + (100 * 100) = 10,000 – 4 = 9,996.

Best way Multiplication without pen and paper

**5. The 9’s Trick: To multiply any number by 9, use this simple method. Let’s multiply 9 by 7.

• Subtract 1 from 7 to get 6 (7 – 1).
• The first digit of the answer is 6.
• The second digit is the difference between 9 and 7, which is 2.
• So, 9 * 7 = 63.

**6. The 11’s Trick: Multiplying a number by 11 is easy. For example, find 11 times 47.

• Place the two digits of 47 with a space: 4 _ 7.
• Add the two digits and place the result in the middle: 4 (4+7) 7.
• So, 11 * 47 = 4 (11) 7 = 517.

 Tricks for Multiplication without pen and paper

**7. Using Multiples of 10: When multiplying by multiples of 10, you can simply add zeros to the other number. For instance, multiply 25 by 40.

• Add two zeros to 25 to get 2500.

**8. The 7’s Trick: To multiply any number by 7, use this shortcut. For example, multiply 7 by 9.

• Double the number you’re multiplying by 7: 9 * 2 = 18.
• Now, append a zero to this result: 180.
• Lastly, subtract the original number (9) from the result: 180 – 9 = 171.
• So, 7 * 9 = 171.

**9. The 5’s Trick: Multiplying by 5 is straightforward. Let’s find 35 multiplied by 5.

• Take half of the number you’re multiplying: 35 / 2 = 17.5.
• Append a zero to this result: 175.
• So, 5 * 35 = 175.

Best Tricks Multiplication without pen and paper

**10. The 3’s Trick: To multiply any number by 3, use this method. For instance, multiply 3 by 27.

• Double the number you’re multiplying by 3: 27 * 2 = 54.
• Now, add a zero to the result: 540.
• So, 3 * 27 = 540.

By mastering these multiplication tricks and techniques, you can quickly and accurately perform mental multiplication, even with larger numbers. With practice, your mental math skills will become sharper, and you’ll be able to handle a wide range of multiplication problems without the need for pen and paper.

Techniques For Multiplication without pen and paper

Second Examples

Multiplication without using pen and paper may seem challenging at first, but it can be quite manageable with some mental math techniques. In this explanation, I’ll walk you through how to perform multiplication in your head and provide ten examples to illustrate these methods. Remember, practice makes perfect, so take your time with each example and don’t get discouraged if it takes a little while to master these techniques.

Basic Multiplication Techniques

1. The Repeated Addition Method: This method involves adding a number to itself multiple times to find the product. For instance, to multiply 5 by 4, you can think of it as 5 + 5 + 5 + 5, which equals 20.
2. The Doubling and Halving Method: This technique is useful for multiplying numbers by 2, 4, 8, etc. To multiply 6 by 4, first double 6 to get 12, and then double it again to get 24.
3. The Distributive Property: Break down numbers into smaller, more manageable parts. For example, to multiply 7 by 6, you can think of it as (7 × 5) + (7 × 1), which equals 35 + 7, or 42.
4. The Commutative Property: The order of multiplication doesn’t matter. For example, 3 × 7 is the same as 7 × 3, and both equal 21.

Techniques Multiplication without pen and paper

Example 1: Calculate 8 × 9 mentally.

• You can use the repeated addition method: 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72.

Example 2: Find the product of 11 × 6.

• Use the distributive property: (10 × 6) + (1 × 6) = 60 + 6 = 66.

Example 3: Calculate 7 × 13.

• Use the distributive property: (7 × 10) + (7 × 3) = 70 + 21 = 91.

Multiplication without pen and paper

Example 4: Multiply 25 by 4.

• Use the doubling and halving method: Double 25 to get 50, then halve it to get 25. So, 25 × 4 = 50.

Example 5: Calculate 12 × 15.

• Use the distributive property: (10 × 15) + (2 × 15) = 150 + 30 = 180.

Multiplication without pen and paper

Example 6: Find the product of 9 × 7.

• You can use the commutative property: 7 × 9 = 63.

Example 7: Multiply 16 by 3.

• Use the doubling and halving method: Double 16 to get 32, then halve it to get 16. So, 16 × 3 = 48.

Example 8: Calculate 14 × 11.

• Use the distributive property: (10 × 14) + (4 × 14) = 140 + 56 = 196.

Multiplication without pen and paper

Example 9: Find the product of 18 × 9.

• Use the distributive property: (20 × 9) – (2 × 9) = 180 – 18 = 162.

Example 10: Multiply 35 by 7.

• Use the distributive property: (30 × 7) + (5 × 7) = 210 + 35 = 245.

By practicing these mental math techniques, you can become more efficient at multiplication without needing pen and paper. Over time, your mental math skills will improve, making it easier to tackle more complex multiplication problems mentally.