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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

How many zeros in 999 googol?

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.

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.

What is the number of moles of 200g of Fe?

For this you need the atomic (molecular) mass of FeCl3. Take the number of moles and multiply it by the atomic mass. Divide by one mole for units to cancel. FeCl3=162.4 grams

.200 moles FeCl3

What is the number closest in value to 0.1?

The number closest in value to 0.1 is 0.1 itself. In a decimal number system, the value of a digit is determined by its position relative to the decimal point. In this case, the digit 1 is in the tenths place, making the value 0.1. Other numbers like 0.09 or 0.11 are further away from 0.1 on the number line.

What is a given number?

Often, in mathematical problems, you are asked to find out an unknown value. Towards that end, you are "given" some numbers to assist in that process.

What are the cube roots of an imaginary number in trigonometric form?

z = y i where y is a real number

1: z^(1/3) = y^(1/3) (cos(30 deg) + i sin(30 deg))

2: z^(1/3) = y^(1/3) (-sin(60 deg) + i cos(60 deg))

3: z^(1/3) = y^(1/3) (- i)

What is the twenty seventh power of an imaginary number?

See the Wikipedia article on Imaginary Numbers. i^n = i^(n mod 4). With n = 27, 27 mod 4 = 3, and i^3 = -i. This is easier to visualize when you consider the graphical representation of complex numbers, and use polar coordinates. Writing i as exp(i*pi/2), (from Euler's formula), then i^27 = {using exp() to mean the natural base e, raised to a power} exp(i*pi/2)^27 = exp(27*i*pi/2) = exp(13.5*i*pi) = exp((12 + 1.5)*(i*pi)) = exp(12*i*pi)*exp(3*i*pi/2).

Since the coefficient of i in the exponent is an angle (in radians), then even multiples of pi are the same angle as 0 {exp(0) = 1} so we are back to the same as exp(3*i*pi/2), which is pointing straight down [-i]. Note that 3*pi/2 radians is the same as 270°.

Since the question asked about 27th power of an imaginary number, that could mean a multiple of i, such as bi, where b is any real number. In this case, you would have (bi)^27 = (b^27)(i^27) = (b^27)(-i). So if b = 1.5 for example, then you would have (-i)(1.5^27) ≅ -56815i.

Is graham number beyond all finite transfinite and transinfinite numbers?

Graham's number is a large but finite number. Therefore it is less than every transfinite cardinal number. "Transinfinite" doesn't make sense.

What numbers are in pi and how many are there?

Pi is the ratio of the circumference of a circle to its diameter. Pi is 3.1415926535897932384626433832795 but some just use 3.14

Example of imaginary number?

The canonical example is the square root of -1.

Mathematicians use the symbol i to represent it, electrical engineers use j because i is already busy.

Can Planck's constant is zero?

No. It is a very small number (approximately 6.626 × 10-34 joule-second) but that is NOT zero

What is held constant in water?

The proportion of hydrogen and oxygen atoms in its molecules.

Do ANY number series in pi repeat themselves?

There are short strings of digits which will repeat, but there is no sequence which will repeat forever.

Why you call zero by the name zero?

The derivation is from the early 17th cent.: from French zéro or Italian zero, via Old Spanish from Arabic ṣifr 'cipher.'

What is the solution to 30X to 29Y?

"30X to 29Y" is not an equation nor an inequality. There is, therefore, not a mathematical solution to the question.