Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Interesting Information.....

I wish to share 'Interesting Information' I have read, inferred, deduced, computed, and compiled in my life in Question - Answer pattern...in these subjects : my favorite ones: Mathematics, Physics, Chemistry, Astronomy, and Geography....

II 1. The smallest number apart from zero and one is a perfect square square, cube, fourth, fifth, and sixth power contains a certain number of digits. How many?

II 2. Why is the number 1.444667861.... important to Mathematicians? 
(Index» Euler Avenue» Transcendental Numbers #1)

II 3. The number 'pi' is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159. After how many places does 'zero' appears in the value of pi?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

1)

2)

3)

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

The solutions II 1, II 2, and II 3 are perfect! Outstanding, bobbym!

These three numbers art my all-time favorite ones!

II 4. At the temperature 'x', the Kelvin and Fahrenheit (symbol °F) are equal. Find the value of 'x'.

II 5. What is special about the number 232792560?

II 6. Without referring, find the value of

.
up to 10 places after the decimal.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi,

II 4. 574.5875

II 5. 232792660 is the smallest numbers divisible by all natural numbers from 1 to 20.

II 6. Approximately 0.30102999566; 0.47712125472; and 0.84509804001.

II 7. How many digits does 100! contain?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

The Answers (II 6 and II 7) are both correct! Remarkable, bobbym!

II 8. Give the approximate values of

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

Excellent, bobbym!

II 9. (i) What is the first abundant number?  (ii) What are the  first amicable numbers pair?

II 10.  The  Greek letter phi  represents the golden ratio. Its value is:

. Give the value of phi rounded to 3 decimal places.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

The answers II 9 (i), II 9 (ii), and II 10 are all perfect! Remarkable!

II 11. Let 'n' be the number of digits of the Least Common Multiple of 1, 2, 3  4, 5,
... 100. Find 'n' approximately.

II 12. State the 'Stirling formula or approximation' also known James Stirling formula.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

 

.

II 13.  Give the values of surface areas of the first five largest countries in the World.

II 14. What is the value of fifth root of 100 approximately?  What is its signification?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

Perfect!

Answer #II 12 - Perfect!

.

.

Good work, bobbym!

Find the approximately values : - four places after the decimal - Good, 8 places - Excellent.

II 15.

.

II 16.

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

The Answers II 15 and II 16 are perfectly right! Magnificent, bobbym!

II 17. Fermat's Last Theorem states that

has no non-integer solutions for x, y, and z when n>2. In which year did Pierre de Fermat state it?

II 18. What a the largest Mersenne prime number as on date?

II 19. What is the first 'Skewes' Number'?

II 20. What are the values of densities of Gold  (element) and Mercury (element) in kilograms per meter cube approximately?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

.

The Answers II 17 and II 19 are correct! Commendable, bobbym!

II 21. Give the formula for conversion for C to F and vice versa (temperatures).

II 22. Compute

and

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

The Answers II 21 and II 22 are correct! Brilliant!

II 23 and II 24. Find the value (approximately) the number of seconds in a day on earth and time to travel from Sun to Earth.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi,

.

II 25. Find the value (approximately) of Specific Gravity at room temperature of Mono Ethylene Glycol and Glycerol.

II 26. Find the values of  Density of  Ammonia (at STP) and Sulfur Dioxide in kilograms per meter cube.
oxide

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

Good attempt, Answer II 25, bobbym!    

II 27. If 'x' the the smallest number apart from 0 and 1 which is a perfect square, cube, fourth, fifth, and sixth power, find the value of 'x' approximately. 

II 28. If 'x' the the smallest number apart from 0 and 1 which is a perfect square, cube, fourth, fifth, sixth.... and 10th power, find the value of 'x' approximately.

II 29. If 'x' the the smallest number apart from 0 and 1 which is a perfect square, cube, fourth, fifth, sixth ... and twentieth power, find the value of 'x' approximately.

II 30. If 'x' the the smallest number apart from 0 and 1 which is a perfect square, cube, fourth, fifth, sixth ... and hundredth power, find the value of 'x' approximately.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Interesting Information.....

Hi bobbym,

The four Answers are perfect! Impeccable!

II 31. Give the value of 'Threshold of pain' in Bels / Decibels.

II 32. How many times approximately is the Radius of Sun compared to Radius of Earth?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Interesting Information.....

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.