Irrational Numbers

No.

Yes.

The simplest way to do it is to use Logarithms, from a book of Logarithmic Tables and Anti-logarithms. You simply look up the Logarithm of your quantity, then divide that quantity by 2 , and then look up its Anti-logarithm. that will give you the answer.

It isn't ... it's rational

irrational

No

15

No, it is rational.

yes

Yes

No

Yes

No.

If you can display it as a fraction where both the top and bottom are integers (whole numbers) then it's rational; therefore, any integer is rational (since it can be placed over 1 and fulfill the definition) and -103 is an integer.

No

Yes because it can be expressed as a fraction

rational because you can simplify the square root to 3 which is the quotient. Pi is probably the most well known irrational number out there.

Improved Answer:-

Pi is an irrational number because like all irrational numbers they can't be expressed as fractions.

1/2

2/3

3/4

etc.

In This Case, the answer is false and this is why

in the case you have the Square root of 3, or (√3)

To Approximate this, you come up with a number near to 1.7320508075688772935274463415059... and so on

this is irrational because it is non-repeating, or you cannot simply make a fraction of it.

But, if this where true, the you would be saying this

1.7320508075688772935274463415059=1.732=1.7.... and, in math, this is not true

a more simple explanation would be that if you had 1/3 and 3/10, which would you say is bigger?

1/3 is bigger, and here is why

3/10=0.3

1/3=0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...... and so on

but, if you slap all of those 3's off there, it becomes 0.3, making it "rational", but incorrect.

-Nick Ogre

Rational: In mathematics, an irrational number is any real number which cannot be expressed as a fraction a/b, where a and b are integers. Therefore, by definition, 3 and 4 both being integers, 3/4 is rational.

No

not rational

A irrational number is a real number that cant be expressed as a/b where a and b are integers. Or in more simple terms they cannot be written as decimals they just keep on going like Pi.

So how can we tell if a number is irrational?

Surely we can just check, every digit.

Sadly this wont work as numbers just keep going to infinity.

So we use the proof by contradiction to do this.

Take √2 for example

let us make the supposition that √2 is rational

then √2 = m/n where m and n are integers with no common factors

if we rearrange that equation for a we get

a2 = 2b2

2 times anything is even, hence 2b2 is even, and a2 is even

a then must be even as if a were odd a2 would also be odd

a = 2k where k is an integer

4k2 = 2b2

2k2 = b2

2 times anything is even, hence 2k2 is even, and b2 is even

b then must be even as if a were odd b2 would also be odd

b = 2m where m is an integer

so;

16m2 = 4k2

so there is a common factor and the supposition is incorrect hence

√2 is irrational

1000 metres = 1 km so 92.25 m = 92.25/1000 = 0.09225 km.

10n = -30

n = -3

1,000,000,000,001

1 trillion