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Mathematical Constants
Intriguing, ubiquitous, and at times mysterious, numerical constants set the allowable limits for all universal phenomena. Whether your questions involves π, Avogadro's number, Planck's constant, the atomic mass unit, or any of the other multitudes of immutable numbers used in science, this is the category where they should be asked.
2,332 Questions
What is the full number of pi?
PI is alot more than that 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609392801490329810923874918230491871092834788192192348392102993847747382902192834012983492347387429438298349209102384098201283740192871430972190837498234783920193284720198374802918437092817408120394872093847021983740921834709128347019238479213847192487012938478347839209184701928374912837483838382098247972103810341734970932487938749293109238479829013984912381279384792387
but i remember 3.141592654
What is nitrogen's atomic mass?
Millions of tons. !!!!!
Nitrogen forms 79% of the world wide atmosphere.
The total mass of the atmosphere is estimated to be 5.15 x 10^(18) kgs.
[5,150,000,000,000,000,000 kgs].
So 79 % of this mass is 4.0685 x 10^(18) kgs of nitrgoen .
Why is division by zero is undefined or not allowed?
Any non-zero number divided by zero is infinity (positive or negative), but your calculator may give an error. Try it with a very small number such as 0.000001, as you make it smaller the result will become larger. The reason is that for a given number, you can put 0 into it as many times as you want - an infinite amount.
However, this will give us many problems with division. For any other number, division has very useful properties. If we have some unknown number called 'x', and we have an equation that says: x/3 = 5/3, then we can deduce that x=5. Another example: x/4 = 7/4. We can deduce that x=7. But when we allow division by zero, this property is lost: 3/0 = infinity = 4/0, but 3 is not equal to 4. We also lose many other useful properties if we allow division by zero. However, we do almost allow division by zero. This is done by taking what is known as a limit as the divisor, x, tends to zero (we write x→0), and this is an integral part of calculus.
0/0 is a special case of division by zero. Notice that for any non-zero number, let's call it 'y', we get y/y = 1. But we say that 0/0 is undefined, or indeterminate. We can still take limits when something looks like it might be equal to 0/0. For example, the limit of sine(x)/x as x→0. We know that sine(x) = 0 when x=0, but it can be proven that sine(x)/x →1 as x→0. But we can also prove that x2/x → 0 as x→0. So the result is different depending of different situations.
Yes, 3.14 is an approximation of the mathematical constant pi (π), which represents the ratio of a circle's circumference to its diameter. Pi is an irrational number, meaning it cannot be expressed as a simple fraction, and its decimal representation goes on infinitely without repeating. While 3.14 is a commonly used approximation for pi, the actual value of pi is approximately 3.14159.
Why is zero factorial equal to one?
n!/n = n!/n | reflexive property
(n)(n-1)(n-2).../n = n!/n | definition of factorial
(n-1)(n-2)... = n!/n | cancelling the common factor of n
(n-1)! = n!/n | definition of factorial
Notice that, in order for n! to be described as (n)(n-1)(n-2)... and proceed to be rewritten as (n-1)! after the n's cancel, the natural number n had to be greater than some natural number for (n-1) to be a factor in the factorial. This means that n must be at least 2, because if n were 1, (n-1) would not have been a factor of the factorial, and the proof would fail unless we assume that n is at least 2. So now you know that this rule cannot prove that 0! is 1 because 1 cannot be substituted into the rule because, as it stands, the rule is only valid for values of 2 or greater. The rule is valid for values of 1 or greater if it is assumed that 0! is 1, but that is what you are trying to prove.
What is the square root of pi?
The square root of the square root of the square root of something is called the 8th root. The 8th root of pi is approximately 1.15383506784999.
What is a googol times a googol written as a power of 10?
Well, honey, a googol times a googol is essentially 10 to the power of 200. In other words, that's a 1 followed by 200 zeros. So, if you ever need to impress someone with a ridiculously large number, there you go!
Using imaginary i simplify the square root of negative 48?
Oh, dude, imaginary numbers? Like, sure, let's do this. So, the square root of negative 48 can be simplified as 4i√3. It's like regular math, but with a little twist of imagination. So, there you have it, imaginary math for the win!
How do you write 105 million 602 thousand 950 in word form?
105,602,950. in words is 'One hundred and five million, six hundred and two thousand , nine hundred and fifty.'
What are all the multiplication facts that equal 84?
To find all the multiplication facts that equal 84, we need to break down 84 into its prime factors. The prime factors of 84 are 2, 2, 3, and 7. Therefore, the multiplication facts that equal 84 are 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14, and 7 x 12.
What element has an atomic mass of 234?
Well, darling, the element with an atomic mass of 234 is good ol' Uranium. It's the big shot in the actinide series, strutting its stuff with a radioactive flair. So, if you're looking for some atomic weight drama, Uranium's got your back.
How much is 6 000 000 000 000 000 000 000 000 in words?
6 000 000 000 000 000 000 000 000 is six septillion in words. In the short scale numbering system, which is commonly used in English-speaking countries, a septillion is equal to 1 followed by 24 zeros.
What is the biggest number other than infinity?
This question can not be answered for the following two reasons:
- In the modern real number system, there is no limit to how large a number can be. Whatever number is presented to you, you may add 1 or more to it to make it even bigger than it was originally.
- Infinity is not a number. Infinity is a concept that in the number system there is no definite end to the positive or negative value a number may have.
____
If you are just looking for a very large number, a 'googol' is the number 1 followed by 100 zeroes, and that is one of the largest numbers that actually has a name.
A centillion (10103) is the largest standard named number.
A googolplex is a 10 to the googol power (a 1 followed by a googol number of zeroes), which is larger yet.
Mathematical exponent numbers such as Skewes number are much larger still.
If aleph null represents the cardinality of the rational numbers, aleph null plus one has the same value. The size of infinity represented by the reals is, however, demonstrably greater than the size of infinity of the counting numbers. We can construct ever larger sizes of infinity. One interesting question is whether or not there are sizes of infinity between aleph null and the power set of aleph null (which represents the cardinality of the reals). It turns out the answer is yes or no, depending on what you want. You can treat the question as an independent axiom of mathematics, much like the parallel postulate in geometry.
How do you evaluate 6n for n 6.23?
You replace "n" with its value; then you do the multiplication (6n means 6 times n).
How many zeros would there be in 100 septendecillion?
- In those countries that use the long scale based on powers of a million (eg Europe):
= 10104
⇒ 104 zeros
- In those countries that use the short scale based on powers of a thousand (eg USA):
= 1056
⇒ 56 zeros
How many zeros does 150 million have?
150 million has six zeros. This is because a million is equal to 1,000,000, which has six zeros. Therefore, when we have 150 million, we have 150 multiplied by 1 million, which gives us 150,000,000, with six zeros.
How many times does 5 go into 234?
To determine how many times 5 goes into 234, you would perform a division operation. 234 ÷ 5 equals 46 with a remainder of 4. Therefore, 5 goes into 234 a total of 46 times.
What is a googol times a googol?
Oh, dude, a googol times a googol is basically a googol multiplied by a googol. And a googol is like 10 to the power of 100, so when you multiply that by another googol, you're basically getting a number that's like really, really big. Like, so big you probably won't ever need to use it in real life.
There are One Hundred Zeroes in a Googol.
So the answer to your question is 999 followed by one hundred zeroes or 999*10100 or even 9,990,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
A rather large number.
Dividing any number by zero is undefined in mathematics, including dividing pi by zero. This is because division by zero leads to a mathematical contradiction and is not a valid operation. In mathematical terms, it results in an indeterminate form, which does not have a meaningful numerical value. Therefore, pi divided by zero is undefined.
How much is a googol standard form?
A googol is represented in standard form as 1 x 10^100. In other words, a googol is the number 1 followed by 100 zeros. This number is used in mathematics and is significantly larger than a trillion or even a quadrillion. It was coined by mathematician Edward Kasner in the early 20th century.
Well, isn't that just a happy little question! The value of the square root of 2 is approximately 1.414. It's a special number that shows up in nature and mathematics, like a little gift from the universe. Just remember, every number is unique and adds its own special touch to the world around us.
Million trillion billion googol googolplex?
One million trillion billion googolplex =10,000,000,000,000,000,000,000,000,00010100
but the progression is:
thousand - 3 zeros
million - 6 zeros
billion 9 zeros
trillion - 12 zeros
quadrillion - 15 zeros
quintillion - 18 zeros
etc,
googleplex - an inconceiveably large number equal to ten times the amount of
a number that would be 10 with a hundred 0's behind it, or
100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
A googol is equal to 1.0x10100 (i.e the digit 1 followed by 100 zeroes). To square a googol, you would multiply the exponent by two (i.e. 100 x 2). Thus, a googol squared would equal 1.0x10200.
