Multiplying by 5, 50, 25 – Vedic Maths

Vedic Maths comprises the most useful techniques that can be used to solve complicated problems. It comprises of tricks related to multiplication, addition, subtraction, division, and divisibility. Here we will mainly focus on Multiplication and Division by 5,25,50. Let us be familiar with some terms:

• Multiplicand: It is the number that is to be multiplied by the multiplier to get the product.
• Multiplier: It basically tells how many times the multiplicand is to be added to get the results.
• Dividend: It is the number which is to be divided
• Divisor: It actually tells how many equal parts of the dividend are to be made.

Multiplication by 5, 25, 50

In Vedic Maths we have some tricks to perform multiplication by 5,25 or 50. Using these tricks we can solve for higher multiplier values like 500 or 5000. The steps are as follows:

• As we all know
  • We can express 5 as 10 divided by 2
  • 25 can be expressed as 100 divided by 4
  • We can express 50 as 100 divided by 2
• After expressing the multiplier as stated in step 1 we then multiply the number by 10, 100 or 1000
• Then finally we divide the result by 2 or 4

Now let us have a look at the example,

Multiply 9999 by 25

In the above example we first expressed 25 as 100 by 4. Then we multiplied 9999 with 100 and divided the result by 4.

Division by 5,25,50

We use this technique when we are dividing the number by 5, 25 and 50. We can use this technique for higher values of divisors like 500 or 5000. The steps to perform the division are as follows:

• As we all know
  • 5 can be expressed as the division of 10 by 2
  • 25 can be expressed as the division of 100 by 4
  • 50 can be expressed as the division of 100 by 2
• Then we multiply it by 2 if the divisor is 5 or 50 or multiply it by 4 if the divisor is 25.
• After getting the result we divide it by 10 or 100.
• This will introduce a decimal point which will be our final answer.

The example is as follows:

Perform division 9999 by 25

In the above we expressed 25 as 100 divided by 4. After this we expressed 9999 as 10000-1 which is another Vedic Mathematics trick. Then we performed the mutiplication and divided the result by 100.

Solved Problems

Multiply 55×50

We will express 50 in terms of 100 and 2 and then perform the division and multiplication respectively.

Multiply 5678 by 5000

We can write 5000 as 50×100

Then we can apply the trick on 50 and then later multiply it by 100

Divide where the dividend is 897 and the divisor is 50

Since the divisor is 50 we can use the Vedic trick to perform the division.

Perform Multiplication 7890 by 5

We can express 5 as 10 divided by 2 and then carry out the multiplication and division operation.

Divide 790 by 25

Expressing 25 as 100/4 we get

Perform division where Divisor is 50 and Dividend is 10001

Here we are expressing 50 as 100/2

Multiply 423 by 25

Expressing 25 as 100/4 we get

Frequently Asked Questions

When was Vedic Maths founded?

Vedic Maths was founded in the year 1911-1918. The founder of Vedic Maths was Shri Jagadguru Shri Bharathi Krishna Tirthaji.

What is a sutra? Mention some of the sutras present in the Vedic Mathematics.

The formulas are known as sutras. There are 16 sutras present in Vedic Mathematics. Some of them are Ekadhiken Purvena, Chalana-Kalanabhyam, Ekanyunena Purvena.

How can we express 5000 in multiplication?

We can use the formula 10ⁿ⁺¹ /2 where n is the number of zeroes present in the multiplier.

Here number of zeroes is 3. So we can express 5000 as 10³⁺¹ /2.