Mathematical Constants

Oh, dude, the square root of 2 is an irrational number, meaning it goes on forever without repeating. It's approximately 1.41421356... but like, who really needs to know all those extra digits, right? Just know it's a bit more than 1, and you're good to go.

Oh, dude, 23,000,000 minutes? That's like... a lot. Let me do the math real quick. So, if you divide that by 60 (because there are 60 minutes in an hour), you get 383,333.33 hours. And if you divide that by 24 (because there are 24 hours in a day), you get approximately 15,972.22 days. So, yeah, it's like around 15,972 days.

Well, nylon is a special material that isn't typically known for its magnetic properties. It's like a happy little cloud floating in the sky, bringing softness and comfort. So, while nylon may not have a significant magnetic permeability, it sure does have a way of making us feel cozy and content.

A "myrillion" is not an actual number, just a made-up name.

In any case, for any number, there are always larger numbers. For example, if you add one to a million, you get a number that is larger than a million. If you choose to define a "myrillion" to be a 1 with so-and-so many zeroes, just add one to it, or add an additional zero, and you get a number that is even larger.

Well, isn't that just a happy little math question! To find the ratio of 60 to 105, we simply divide 60 by 105. So, the ratio is 60:105, which can be simplified to 4:7 by dividing both numbers by 15. Just remember, there are no mistakes in ratios, only happy little simplifications!

The number e was discovered through the study of compound interest in mathematics. It was first defined by the Swiss mathematician Leonhard Euler in the 18th century. Euler showed that as the number of compounding periods increases, the value of (1 + 1/n)^n approaches a limit, which is approximately 2.71828, known as Euler's number or e. This constant is fundamental in calculus and is used in various fields such as finance, physics, and engineering.

Pi is a real number

One googol is 1.0*10^100 or 1.0E100. 10^googol = 10*10^100 or 1.0*10^101. In regular form this is 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

* * * * *

The above answer is seriously incorrect.

One googol is 10100. So 10 to the power of a googol is 10 to the power 10100

or (1010)100. This is 1 followed by a googol 0s, not 101 as given above.

The number is known as Googolplex.

pi = 3.141592..... ( recurs to infinity).

'pi' is an IRRATIONAL number, which means it CANNOT be converted to a RATIO(Fraction).

Casually, irrational numbers are those where the decimals recur to infinity AND there is no regular order in the decimal digits.

Compare

pi = 3.141592.... IRRATIONAL (Irregular order of decimal digits)

but

1/3 = 0.3333.... RATIONAL (Regular order of decimal digits).

NB When given pi = 3.14 , 3.1416 , 22/7 , these are only APPROXIMATIONS and NOT equalities.

Addition. Also you can use 'Sum, Total'.

A digit within a number has a place value, not the entire number - such as 3.94.

The letter "c" is used to represent the speed of light in a vacuum in physics equations.

The element with the atomic mass of 118.69 is tin, symbol Sn.

Sulphuric Acid does NOT have an Atomic Mass. It has a Molecular Mass, because it is a molecule, not an atom.

Refer to the Periodic Table.

The formula for sulphuric acid is H2SO4

This tells us that there are two atoms of hydrogen , one atom of sulphur and four atoms of oxygen.

So from the Periodic Table we read off the atomic masses for each element.

Hence

2 x H = 2 X 1 = 2

1 x S = 1 xs 32 = 32

4 x O = 4 x 16 = 64

2 + 32 + 64 = 98 the Molecular mass of sulphuric acid.

To determine if red and blue light travel at the same speed in plastic, one could shine both colors of light through the plastic at the same angle and measure the time it takes for each color to travel a set distance. If the times are equal, the speeds are the same. However, if there are differences in the times taken, it suggests that red and blue light have different speeds within the plastic.

The mass of one molecule of a nonionic substance in atomic mass units can be determined by adding up the atomic masses of all the atoms it contains. This can be found by looking up the atomic masses of each element on the periodic table and summing them together.

Values of general gas constant are:-

R = 0.082 atm. â„“.mol-1.K-1

R = 8.314 Pa.m3.mol-1.K-1

R = 1.99Cal.mol-1.K-1

The speed of light in a vacuum is constant at about 3 x 10^8 meters per second. The nature of the source of the light wave does not directly influence the speed of light in a vacuum. The speed of light is determined by physical constants in the vacuum, such as the permeability and permittivity of free space.

To get the decimal in an atomic mass, you divide the atomic mass number by 100. For example, if the atomic mass is 23, dividing by 100 would give you 0.23.

To convert grams to moles, you divide the given mass in grams by the molar mass of the substance in grams per mole, which is obtained from the periodic table. This calculation gives you the number of moles present. Avogadro's number (6.022 x 10^23) is used to convert moles to individual particles or entities like atoms or molecules.

The atomic mass of chlorine is calculated based on the average mass of all the naturally occurring isotopes of chlorine and their relative abundance in nature. Isotopes are atoms of the same element with different numbers of neutrons in their nucleus, which affects their atomic mass. The average atomic mass of chlorine is approximately 35.45 atomic mass units.

It is the no.of particles in 1 mole of that Substance.

The average atomic mass is a weighted average of the masses of all isotopes of an element, taking into account their abundance. The atomic mass listed on the periodic table is the weighted average of all naturally occurring isotopes of the element. So, they are essentially the same thing, with the average atomic mass being a more specific term.