Irrational Numbers

All terminating or repeating decimals are rational. -1.87652 terminates so it is rational.

Because it is the ratio of the perimeter of a circle to its radius. pi is the Greek letter which is the first letter for perimeter.

No because 12 is a rational number that can be expressed as an improper fraction in the form of 12/1

Are you looking the serial right way up? Which way the '6' is facing? Is it mirrored or upside down?

It could be a letter like a little g or p or q or b or d. Or perhaps the surface of it is damaged and you see only partial of the letter/number. It could be a 0 damaged or an o. Or even an @ although that is not usually used in codes.

No, I can go a full week without using it. And I teach mathematics!

Your head asplodes.

No.

No integers are irrational numbers. An integer is a whole number, positive or negative. This means they have no decimals or fractions. An irrational number, however, is a number with fractions or decimals. Therefor, there are no integers that are irrational numbers.

If you want to make it look very fancy and like higher mathematics,

then you could write it like this:

{ 4y + 12 }

Yes, it sure is.

It is rational, as are all whole numbers.

Any integer is rational. That includes negative integers.

yeah since all integers are rational numbers

It is the digit 8.

It is a rational number because it can also be expressed as a fraction.

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator.

NO - it is 3 (three) which is surely rational.

Suppose A and B are two rational numbers.

So A = p/q where p and q are integers and q > 0

and B = r/s where r and s are integers and s > 0.

Then A - B = p/q - r/s = ps/qs - qr/qs = (ps - qr)/qs

Now,

p,q,r,s are integers so ps and qr are integers and so x = ps-qr is an integer

and

y = qs is an integer which is > 0

Thus A-B can be written as a ratio of two integers, x/y where y>0. Therefore, A-B is rational.

Yes. This follows from the fact that pi is transcendental. That implies that it can't be written as a root.

1+sqrt(2) and 1-sqrt(2) are both irrational but their sum, 2, is rational.

No, it is rational.

The diagonal of a unit square (1x1) is irrational; the circumference of a circle with diameter 1 is irrational. There are many situations when such measures are required. Also, there are far more irrational numbers than there are rational, so you would be restricting yourself considerably if irrationals were excluded.

Not including 10, it's 3456. Including 10, it's 34560

2*pi is one possible answer.