Faster than Calculator, Speed Math Techniques & Mental Math

Let's make out calculation easier and faster. Let's befriend Math. Once friendship is established, no student will run away from the Math. So let's say bye-bye to "Math Fear".

Here we are going to learn a new way of doing subtraction. It is for the numbers which have all the trailing zeroes. It is very easy to do subtraction from a number which has all tailing zeroes. 

After learning this technique, the subtraction becomes damn easy. Amazingly, we can find the answer starting from left to right. This method increases both your time efficiency and accuracy.

Addition is the only natural operator of Maths. All the other 3 operator (i.e. subtraction, multiplication and division) are derived fro the "Addition" operator. Even your computers and calculators don't know subtraction, multiplication and division. They know ONLY Addition. These gadgets also derive subtraction, multiplication and division from the "plus" operator.

Moreover, subtraction is a difficult process in comparison to doing addition. Here we learn how we can use "Addition" for doing "Subtraction"

For doing addition of 2 2-digit numbers you don't need any copy and pen. You can do this calculation straight in your mind with the help of mental maths. Yes, it is possible. Stop doing addition two 2-digit numbers with the traditional method of adding from right to left. If we start addition from left to right the things become extremely easy and fast.

Finding Addition of two 3-digit numbers with Mental Math we are extending the method which we have learnt in the last video i.e. "adding two 2-digit numbers with mental math". With this method we can make our calculations faster. With a little practice, this method will help us to sharpen us skill of doing math with mental skills.

The method we have learnt to find out addition of two 2-digit and 3-digit numbers can further be extended to find out addition of two 4-digit numbers with the help of mental math.

This lecture will help the students to learn a faster and efficient way of adding larger figures. Learning of this will help to do the multiplications faster.

We can apply addition shortcuts to add mixed numbers very easily in the way  as discussed in this video. 

With this method we don't need to convert the mixed numbers into rational numbers. We can add the whole numbers and rational numbers separately and place them together and the problem is solved. 

There are four types of problems related to the mixed numbers. All these four types of problems have been discussed in this video.

The main motive of my all the videos  is to make you to understand basics of math to make math easy and to make your calculations fast. Math shortcuts and math tricks can make your life easy. These math shortcuts are  are very helpful in understanding the fundamentals.

Multiplication of any number with a 1 digit number is very easy. If we have learnt tables upto nine, that is quite sufficient to create tables for all the numbers  with the method shown in this video. This method of multiplication does not require carrying  overs. This method is very simple to understand and easy to apply. 

This method also operates from left to right and it is much easier than our traditional method of multiplication which is taught to us in the class rooms.

This method have 3 major benefits:

1. It doesn't require you to memorize table beyond 9. If you have learnt tables from 1x1 to 9x9, these are quite enough to create any table of any number.
2. The necessity of "carrying over" totally done away with. The carrying over system is taxing and irritating. It  alienates the students away from maths. 
3. This method helps us to assimilate mental math techniques and as a result the tables can be seen written on the air which are only seen by the persons who knows this technique. This technique becomes the base of the mental math skills.

Let us start multiplying with an entirely new method which faster and easier as well.

Here we are going to learn a method of multiplying two 2-digit numbers which is far different from our traditional method of doing multiplication. It is much easier and makes the multiplication a faster process.In the first step of this method you can even start multiplying from left to right which otherwise is not possible in any method of multiplication learnt so far. The "carrying over" system has been made entirely redundant. 

For multiplication 3 digits by 3 digits,  the method given in the videos is very easy and simple. It is different from the traditional method which we usually apply in solving the problems. In this method we don't need to take carries. Nothing is kept as carry forward. The method when practiced a few times will help you to say good-bye to the existing traditional method. The method increases both accuracy and efficiency.

The method is fully scalable and can be extended to find multiplication of two 4-digits, 5-digits, 6-digits numbers and so on.

Multiplication with 11 is very easy and it is a fun. To multiply any number with 11, write the number and below this number again write the same number by shifting it to left by one digit. Then add both the numbers and multiplication with 11 is done. This method of multiplication with 11 is very easy and simple.

Multiplying a 2-digit number with 11 is still simpler and can be done with the help of mental math.

it is very easy to multiply any number with 5 or a number ending with 5. Similarly, multiplication with 25, 125, 625 and 75 is also very easy. Rather multiplication with 5, 25,125, 625 and 75  can help us to do multiplication with mental maths and we can do calculations without picking up pen and paper. It sharpens our mental math skills.

5, 25,125, 625 as denominators also help us to calculate decimal numbers very easily with mental maths and we are going to learn this shortcut in a later video in this course.

When the middle  digit of  a multiplicand as well as multiplier of any 3-digit numbers is a zero, the multiplication of such 3-digit numbers becomes very easy. There are not multiple steps to do this multiplication,  and therefore, the entire multiplication is done in a single row. 

We can perform this multiplication with mental math without picking up pen and paper. This method is also scalable and can be extended beyond 3-digit x 3-digit numbers. 

As mention in the previous lecture, two 4-digit numbers having '00' as the middle digits can be multiplied in a single row. The process can be performed with mental math without the help of any pen and paper. 

The method learnt in the previous lecture can easily be extended to find out multiplication of two 5-digit numbers have '000' as their middle digits. The entire process can be performed in single row.

You will learn from this video that how easy it is to do multiplications.

It is very easy to find squares of numbers upto 99. If you have learnt tables upto 9, you can find out squares effortlessly just in no time.
For example if we want to find square of 74, we can find square with the help of the digits 7,4 and 2. Similarly square of 84 can be found with help of digits 8,4 and 2 & square of 63 with the help of digits 6,3 and 2. So upto 99, we can very easily find out squares of any number just in a few seconds.

The method we have learnt  to find multiplication of two 3-digit numbers helps us to find squares of two 3-digit numbers. You will see that in the process of finding squares of two 3-digit numbers, the same method of finding squares becomes easier than method of multiplication of two 3-digit numbers.

Vedic Math Sutras tell us that it is very easy to multiply numbers which are a bit greater than 100 ( say 101 to 120) and such numbers can be multiplied  with mental math and without putting much effort. A little practice on these numbers helps us to find multiplication of these numbers even faster than calculators.

This lecture uses this feature of Vedic Math  for such numbers to find squares of numbers near 100. By the time this lecture ends, you will see that you can find squares of the numbers from 101 to 120 with lightening speed.

You will see that here mental Math works faster than anything else.

It is very easy to find out squares of all numbers ending with 5. This method has also been adopted from vedic mathematics.This method can further be extended to the multiplication of numbers if addition of their unit place digits is equal to ten while their remaining left hand side digits are similar (e.g. 68 x 62). This method makes the calculations damn easy.

The method is very simple: 1) take square of 5 (it is 25) and place it on right hand side. Now multiply the remaining number by next cardinal number and put that on the left hand side, and - the solution is done.

Rules of divisibility help us to find whether a number is divisible by another number on not, without performing actual division. 

Rules of divisibility are important for making math a friendly subject. 

In this video, I have tried to take up the concept of rules of divisibility in a wider preview. 
Here I have discussed the following:
Divisibility rule for 2
Divisibility rule for 3
Divisibility rule for 4

It is very easy to find divisibility of any number by 17 just in a few steps

It is very easy to find our divisibility of numbers ending with '1' i.e. 11 21 31 41 51 61 71 81 and 91. We have already discussed the rule of divisibility by 11 in a previous video.

In this video we are going to discuss:
divisibility by  21 

divisibility by 31

divisibility by 41 

divisibility by 51 

divisibility by 61 

divisibility by 71 

divisibility by  81 

and divisibility by 91.
Rules of divisibility are very important for these rules make our calculations fast and easy.

In this video we will learn how to find out shortcut of divisibility rules for the numbers ending with 9. Means, we are going to learn:

Rule of Divisibility by 19
Rule of Divisibility by 29
Rule of Divisibility by 39
Rule of Divisibility by 49
Rule of Divisibility by 59
Rule of Divisibility by 69
Rule of Divisibility by 79
Rule of Divisibility by 89
Rule of Divisibility by 99

Rules for divisibility help us to find out whether a given number is divisibility by another number or not, without doing actual division. These rules enhance our confidence as well as add to our calculation speed. Rules of divisibility make our solutions short. These rules increase our efficiency as well as accuracy.  

It is very easy to find out division of any number by  5,25,125 or 625 and 3125. In the process we can also find out decimals if the denominators are 5,25,125 or 625 and 3125.

When the numbers are perfect square, it is very easy to find their square roots using a Vedic Math tool. This tool enables us to calculate the square roots of perfect squares without doing much calculations.

We can find out cubes of all the 2-digit numbers (i.e. all the numbers starting from 11 to 99) without doing many calculations which others are required in the tradition way of multiplying the same number 3-times.

In this section we are going to learn how can we convert all the three types of percent statements into Arithmatic statements. This conversion is going make our calculation far easier and far faster. Here we will also learn to solve some questions which are very frequently asked in competitive exams.

Percentage can also be expressed in the for of Decimals, Fractions and Multiples. This videos draws the relation among these four terms.

Why, after all, we call HCF as HCF? - Understanding the term "HCF"

How HCF helps us in out day-to-day life?

With the method shown in this video, we can find our HCF of many numbers with the help of mental Math.

There are certain problems related to HCF, which many students cram without understanding the logic behind the solution

This problem also needs an explanation of the logic behind its method used to find out the solution

We deal with this powerful too of doing calculations then we must also know why do we call it LCM.

The area is always mentioned in "Units Square". Let's learn why we do that.

We can solve questions related to Averages very fast with the help of mental maths.