Faster than Calculator, Speed Math Techniques & Mental Math

Multiplication is one of the most important mathematical skills—but it doesn't always have to be a long, step-by-step calculation.

In this course, we will explore simple and powerful techniques that can make multiplication much faster and easier.

In this introduction, you have already seen a glimpse of some of the techniques we will learn:

• Middle-Zero Multiplication – a useful technique for multiplying numbers with zeros in the middle.

• Multiplication Near a Base – a fast method when numbers are close to convenient bases such as 10, 100, 1000, and so on.

• Multiplication Without Carrying – a technique that can simplify multiplication by avoiding the usual carrying process.

These are just a few examples. The goal of the course is not simply to memorize tricks, but to understand the patterns behind them so that you can recognize when a particular method will be useful.

As you progress through the course, you will learn how to look at a multiplication problem differently, choose an appropriate method, and arrive at the answer with fewer steps and less mental effort.

Whether you are a student, a teacher, a parent helping a child with mathematics, or simply someone who enjoys learning faster calculation methods, this course will help you develop greater speed, confidence, and flexibility in multiplication.

So let's get started—and discover how much easier multiplication can become when you know the right method!

base is a convenient number that we use as a reference point to make calculations easier. In multiplication, the most useful bases are usually 10, 100, 1000, and so on. For example, 98 is close to the base 100, because it is 2 less than 100, while 103 is 3 more than 100. By using these small differences from the base, we can perform certain multiplications much faster and with fewer steps.

Now let’s see the base in action. Suppose we want to multiply 98 × 97. Both numbers are close to the base 100: 98 is 2 less than 100, and 97 is 3 less than 100. Instead of using the usual multiplication method, we use these differences from the base to simplify the calculation and arrive at the answer quickly. This is the basic idea behind multiplication near a base—use a nearby convenient number to turn a difficult multiplication into a much simpler one.

When working with multiplication near a base, the zeros in the base matter because they determine how we handle the final part of the calculation. For example, with a base of 100, there are two zeros, so we work with two digits after finding the difference from the base. With a base of 1000, there are three zeros, so we work with three digits. Understanding this simple relationship between the number of zeros in the base and the number of digits we use is essential for applying the method correctly.

When both numbers are above the base, we can use a simple shortcut. First, find how much each number is above the base. Then, add either difference to the other number to get the left part of the answer, and multiply the two differences to get the right part. For example, with 103 × 104 and base 100, the differences are +3 and +4. Adding 4 to 103 gives 107, and multiplying 3 × 4 gives 12. Since the base has two zeros, we write the right part as two digits: 12. Therefore, 103 × 104 = 10712. This shortcut makes multiplication near a base remarkably quick. 

When both numbers are below the base, we can use another simple shortcut. First, find how much each number is below the base. Then, subtract either difference from the other number to get the left part of the answer, and multiply the two differences to get the right part. For example, for 98 × 97 with base 100, the differences are −2 and −3. Subtract 3 from 98 to get 95, and multiply 2 × 3 to get 06. Since the base has two zeros, we use two digits for the right part. Therefore, 98 × 97 = 9506.

When one number is above the base and the other is below it, we can still use the same base method. Find the difference of each number from the base—one will be positive and the other negative. Then, cross-subtract the differences to get the left part, and multiply the two differences for the right part. For example, for 103 × 97 with base 100, the differences are +3 and −3. Cross-subtracting gives 103 − 3 = 100, while 3 × (−3) = −9. After adjusting for the negative right-hand part, the answer is 9991. This method is especially useful when the two numbers are close to the base but lie on opposite sides of it.

This method is very helpfule in solving a lot number of problems without doing many calculations.

Some numbers which help to do multiplication faster are called specail Numbers

Multiplication by 11 has a simple pattern that can make the calculation much faster. For a two-digit number, simply add its two digits and place the sum between them. For example, 23 × 11 = 253, because 2 + 3 = 5. Similarly, 42 × 11 = 462, because 4 + 2 = 6. When the sum of the digits is 10 or more, we use a small carrying step. For example, 67 × 11 = 737: 6 + 7 = 13, so we write 3 in the middle and carry 1 to the 6, giving 7-3-7. Once you recognize this pattern, multiplying by 11 becomes almost effortless.

Multipliation by 5 becomes extremely easy with this technique.

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.

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.

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"

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.

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 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.

It is very easy to find out cube root of perfect a cube number of upto six digits. For that we only need to know the cubes from 1 to 9 then just by viewing the numbers we can tell the exact cube root of  all the perfect cubes upto any 6-digit numbers. Absolutely no calculation is required.

For example you can easily tell that cube root of 474552 is 78 - just by viewing the give 6-digit figure - without doing any calculation.

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.