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Top Most Math Tricks of Multiplication

1. Multiplication of a 2-digit number from 11 to 20

Step 1: Add the larger number to the unit digit of the smaller number Step 2: Multiply the answer obtained from step 1 by 10 Step 3: Multiply the unit digits of both the numbers Step 4: Add the answers from Step 2 and Step 3

2. Numbers lesser/greater and closer to the power of 10 (on the same side)

Step 1: Find the difference between the numbers from the closest power of 10 and multiply them. Step 2: Add one of the two given numbers to the difference of the other number from the closest power of 10 (Subtract the closest power of 10 from the number) Step 3: Final answer is obtained by joining the answer from step 2 and step 1

3. Numbers closer and lying on both sides to the power of 10

Step 1: Find the difference between the numbers from the closest power of 10 and multiply them. Step 2: Add one of the two given numbers to the difference of the other number from the closest power of 10 Step 3: Final answer is obtained by joining the answer from step 2 and step 1 using the Vinculum method

4. Multiplication of numbers when one of the numbers is entirely made of 9

Step 1: The first part of the answer is one less than the multiplicand Step 2: The second part of the answer is the complement of the multiplicand

5. When the number of digits in the multiplier (number with 9s) is less than the multiplicand

Step 1: If the multiplicand starts with 1, subtract 2 from the whole number. If the multiplicand starts with 2, subtract 3 from it and so on. This is the first part of the answer. Step 2: This is the compliment of the last digit of the multiplicand.

6. When the number of digits in the multiplier (number with 9s) is more than the multiplicand

Step 1: The first part of the answer is 1 less than the multiplicand Step 2: The second part of the answer is 9 Step 3: Compliment of the multiplicand

7. Square of numbers ending with 5

Step 1: First part of the answer is the product of the digits in the number (excluding 5) and its next number. Step 2: The second part of the number is always 25

8. Multiplication of numbers close to each other (but not close to a power of 10)

Step 1: Consider the base as the nearest power of 10. For example, if the number is close to 80, we should take the base as 80 (8 ×10). Here the factor is 8. If the number is close to 50, we should take the base as 50 (5 ×10 or 100 ÷ 2). Here the factor can be 5 or 2. Step 2: Apply the same rules as those of Nikhilam Step 3: Multiply or divide by the factor obtained in step 1