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14Jan/104

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?

Popularity: 10%

4Jan/103

Comparison of Fractions

Comparison of fractions: Suppose, some fractions are to be arranged in ascending or descending order of magnitude.

Fractions can be compared in many ways. Find below 4 different ways of doing it. If denominators are same, like 56/98 and 57/98, then just compare the numerators,
So the rule is:
a         b
--- > ---,       if  a > b
n         n
Since 56 < 57,
56/98 < 57/98.

Popularity: 11%

4Jan/100

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.

Popularity: 13%

2Jan/100

Difference Between Rational and Irrational Numbers

What is the difference Between Rational and Irrational Numbers?

Rational Numbers: - Every integer and fractions are rational numbers. It can always be denoted as p/q, where p and q are integers and q is not equal to 0.

Thus for example the rationals include {0, 5/2, -18, -4/3, 27/5}. We unually write rational numbers in their lowest terms, for example 8/10 is usually written 4/5. We commonly write rationals in decimal form, so that 1/4 is the same as 0.25, 13/8 = 1.625 and 4/5 = 0.8. Some rationals, however, when written in decimal form don't stop a few places after the decimal. For example

Popularity: 13%

22Jul/090

Origin of Vedic Mathematics

Origin of Vedic Math or Vedic Ganit

At the beginning of the twentieth century, when there was a great interest in the Sanskrit texts in Europe, Bharati Krsna Swamiji tells us some scholars ridiculed certain texts which were headed 'Ganita Sutras'- which means mathematics. They could find no mathematics in the translation and dismissed the texts as rubbish. Bharati Krsna Swamiji, who was himself a scholar of Sanskrit, Mathematics, History and Philosophy, studied these texts and after lengthy and careful investigation was able to reconstruct the mathematics of the Vedas. According to his research all of mathematics is based on sixteen Sutras, or word-formulae.

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Bharati Krsna wrote sixteen volumes expounding the Vedic system but these were unaccountably lost and when the loss was confirmed in his final years he wrote a single book: Vedic Mathematics, currently available. It was published in 1965, five years after his death. The term Vedic Mathematics now refers to a set of sixteen mathematical formulae or sutras and their corollaries derived from the Vedas.

Popularity: 6%