Vedic Maths Tricks for Multiplication

Both the videos given below cover Vedic Maths Multiplication Trick i.e. The Criss-Cross Method or Urdhva Tiryak Sutra.

Each video is made using different tools and aids. I would request you to share your opinion on which format of the recording did you like more. Please share your views by posting a comment below. I intend to make more such videos after getting your feedback.

Vedic Maths Multiplication Tutorial: Video 2

The videos are posted without any sort of editing. Kindly ignore all kind of disturbances and aberrations. Your feedback will help me in improving the quality of future video tutorials, which will be posted for free on Quickermaths.com.

Why is 1 not a Prime Number?

Is 1 a Prime Number?

Friends, in one of the post where I have described ‘Prime’ and ‘Composite’ Numbers, one of the curious visitor have asked me a very logical question. I will quote that question for your reference –
Text from Previous post-

“Prime and Composite : Any integer which is divisible by 1 and itself only is called a prime number.
unquote

quote
N.B.: 1 is not a prime number.”

Question

Could you explaine what is the creteria thar excludes 1 from the list of prime numbers?
a) 1 is integer
b) 1 is divisible by 1 and itself (1)
Since anybody in the past has declared that 1 is not prime number, why we should follow this without thinking and contravene the general rule for prime numbers?
Is 1 as a figure is something which has come from the thin air. It is and always will be an integer. The criteria for 2 are the same – divisible by 1 and itself. And for all prime numbers.
Most probably the 1 is “guilty” because with 1 starts the series on numbers (natural, odd or prime). Suppose 2 was the beginning of the series. Should we ignore 2, because series starts with 2?

Comparison of Fractions

In this post you will learn about comparing fractions and arranging them in ascending or descending order of magnitude.  All of us must have learned this during our school days. However, here we are going to discuss this in more detail and will discover the most suitable way of doing it.

Fractions can be compared in many ways. Here we’ll discuss 4 different ways of doing it.

If Denominators are same and Numerators are different

Like

56              57

—    and  —

98              98

Just compare the numerators,

So the rule is:

a         b

— > —,       if  a > b

n         n

Since 56 < 57,

56        57

—    < —

98         98

They are in the same order as their numerators.

If Numerators are same and Denominators are different

Compare 5/9 and 5/6

This works the opposite way: The bigger the denominator, the smaller the fraction. So the rule

is:

n        n

— > —  if  a < b

a         b

Since 9 > 6, 5/9 < 5/6. They are in the reverse order of their denominators.

General Cases

You simply convert the fractions to the first case, by giving them a common denominator.

You do not really have to worry about finding the least common denominator, though sometimes that will save a lot of work.

Let us compare 5/9 and 4/7. Since we do not see any common factors immediately (and in fact there are not any), we can just multiply the denominators to get a common denominator, 63. To convert 5/9 to 63rds, we multiply by 7; to convert 4/7 to 63rds, we multiply by 9:

5              4

— ,       —

9             7

5*7          4*9

—         ?     —

9*7           7*9

35 < 36,

so

5            4

— <     —

9             7

You may not calculate the value of denominator because it will be same in both cases.

5*7=35          4*9=36; since this is bigger, 4/7 is bigger

If there is a common multiple in denominators, for instance, which is bigger, 5/9 or 44/81? I see that

81 is a multiple of 9, so I do not have to go to the trouble of multiplying 5 by 81 and 44 by 9; I just multiply 5 by 9 and compare to 44:

5         44

— ,     —

9          81

5*9       44

—     ,   —

9*9       81

45 > 44 so

5           44

— >       —

9            81

Converting Fractions into Decimal Form

Here we need to convert each one of the given fractions in the decimal form. Thereafter, arrange them in ascending or descending order

Decimal Fraction Rules

Multiplication of a decimal Fraction by a Power of 10: Rule: Shift the decimal point to the right by as many places of decimal as   is the power of 10.

Multiplication of Decimal fractions:- Rule :- Multiply the given numbers considering them without the  decimal  point. Now, in the product, the decimal point is marked off to obtain as many places of decimal as is the sum of the number of decimal in the given numbers.

Dividing a Decimal fraction By a Counting Number

Rule: – Divide the given number without considering the decimal point  by the given counting   number. Now, in the quotient, put the decimal point to give as many places of decimal as are there in  the dividend.