How to Multiplication of Single Digit Numbers Lesser Than The Base
Let us start with multiplication of Single Digit Numbers using ” Nikhilam Sutra ” This Sutra Applied in the multiplication of numbers nearer to bases like 10,100,1000,10000….
  In Vedic Maths, Multiplication of two numbers can be done by two main methods:
- Â Â Â Â Â Nikhilam SutraÂ
- Â Â Â Â Urdhva SutraÂ
( Using a base of 10 ) ( Both numbers are lower than the base )
Multiplication : – 7 by 8Â
Step :-1 Take the nearest power of 10, to these numbers.
Powers of 10 are 10,100,1000,10000….
Thus nearest power of 10 to the numbers 7and 8 is 10 So, we take 10 as our base.
Step:-2Â Write the numbers one below the other
| Â Â Â Â Â 7
×       8
|
| Â |
Step-3: Subtract each of them from 10.
Write down the answer obtained as difference on right side with a (- ) to show that the numbers are less then 10.
| Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â DifferenceÂ
             7     -3                                ×                   8     -2
|
| Â |
 Step-4: The product will have two parts :One on the left side and the other on the right side . Draw a slant line ( slash) (/) to demarcate the two parts. Multiply the difference.
  The product is the Right Hand Side part of the answer. Â
|        Difference            7     -3
     ×           8     -2
|
Multiply |
| Â Â Â Â Â Â Â Â Â Â Â Â /Â 6 | Â |
 Step-5: The left Hand side of the answer is obtained by cross wise addition, i.e. given number and the difference as shown.
| Â Â Â Â Â Â 7Â Â Â Â Â -3
   × 8     -2
|
Multiply |
| Â ( 7-2 )Â Â Â /Â 6
|
 |
| Â 5Â Â Â Â Â /Â Â 6 | Â |
Hence
| Â Â Â Â 7
×       8 |
| Â Â 56Â |
Answer is 56Â Â Â Â
multiplying single-digit numbers
When multiplying single-digit numbers that are less than the base, there are a few strategies and techniques that can be used to simplify the process. Here’s a step-by-step approach to multiplication for single-digit numbers:
Understand the problem:
- Understand the problem: Make sure you know the numbers you are working with and what operation needs to be performed. For example, if you need to multiply 4 by 7, you are looking for the product of these two numbers.
Start with the ones digit:
- Start with the ones digit: Multiply the ones digit of the two numbers. In this case, multiply 4 by 7, which equals 28.
Write down the ones digit:
- Write down the ones digit: Write down the ones digit of the product (8) in the ones place of the final answer.
Carry-over: If the product
- Carry-over: If the product of the ones digit is equal to or greater than the base, you need to carry-over the extra value to the next step. In our example, the ones digit is 8, which is less than the base, so no carry-over is needed.
Multiply the tens digit:
- Multiply the tens digit: Multiply the tens digit of the two numbers. In this case, multiply 0 (since there is no tens digit for 4) by 7, which equals 0.
Write down the tens digit:
- Write down the tens digit: Write down the tens digit of the product (0) in the tens place of the final answer.
Add the partial products:
- Add the partial products: Combine the ones digit and tens digit to get the final answer. In our example, the ones digit is 8 and the tens digit is 0, so the final answer is 08.
Simplify the answer:
- Simplify the answer: If there is a leading zero in the final answer (as in our example), you can remove it, and the answer is simply 8.
By following these steps,
By following these steps, you can easily multiply single-digit numbers that are less than the base. It’s important to practice these techniques to become more proficient in mental multiplication and to build a solid foundation for more complex multiplication skills.
 multiplying of single-digit numbers
To perform multiplication of single-digit numbers lesser than the base (assuming the base refers to the number 10), you can use a simple method called the multiplication table or multiplication facts. Here’s a step-by-step process:
multiplying table:
- Understand the multiplication table: The multiplication table is a grid that displays the products of numbers from 1 to 9 (in this case). It provides a quick reference for multiplication facts. Familiarize yourself with the multiplication table to make the calculations easier.
Identify the numbers to multiply
- Identify the numbers to multiply: Let’s say you want to multiply 6 by 7.
multiplying table:
- Locate the row and column in the multiplication table: In the multiplication table, find the row corresponding to the first number (6) and the column corresponding to the second number (7).
Identify the intersection point:
- Identify the intersection point: The intersection point of the row and column will give you the product of the two numbers. In this case, the intersection point is at row 6 and column 7, which corresponds to the number 42.
Understand the result
derstand the resultUnderstand the result: The result of multiplying 6 by 7 is 42.