What is the difference between?

Question

a real and an imaginary number?

An example of an imaginary number?

And is pi and imaginary number?

Answer 1

No. Pi is an imperfect number in that it can never be precisly defined, but it is very real because it describes a real thing - the ratio of the circumference of a circle to its diameter. An imaginary number is one that does not exist at all - the most common example of which is the square root of negative one - usually designated as the symbol "i".

There are an infinite number of imaginary numbers just as the same holds true for real numbers. You can even add them - 2i + 2i = 4i etc. You can also combine them with real numbers to get hybrid quantities that are simultaneously real and imaginary - such as (1+2i) + (3+4i) = (4+6i). Believe it or not, the development of this type of mathematics has actually proven to be useful in understanding some natural phenomena, such as the movement of electrical current in wires.

Answer 2

The real numbers consist of all of the following:

Integers: Whole numbers, like if you were counting. Example: ...,-3, -2, -1, 0, 1, 2, 3, ...

Rationals: All numbers that can be written in a form p/q where p and q are integers. Example: 2/3, 4/5, etc.

Irrationals: Basically all the numbers in between. Example: Sqauare Root of 2, and Pi which is about 3.14.

So the Real Numbers are any number you could think of from negative infinity to positive infinity.

Now, imaginary numbers (also called complex numbers) are not between negative and positve infinity. They don't really exist so to speak. If you took the square root of -1 what would you have. There isn't a number whose square is -1, so the square root of -1 is a imaginary number. It is usually denoted as i.

Answer 3

Pi is not an imaginary number.
As I recall there are only 4 imaginary numbers. (i to tht fist power through i to the fourth power. the rest are repeats of those) They are used to describe numbers which cannot exist to complete an equation.
For example X(squared) + 1 = 0 There are no real numbers that can be squared to equal a negative number so X would be an imaginary number.
That's all I can remember. I'm sure you can google for a better answer, Good Luck

Answer 4

An imaginary number is of the form (a + ib) where a and b are real numbers and i is the square root of -1

Pi is an irrational number. An irrational number is any number that you cannot write as a fraction a/b where a and b are integers.

Pi is approximately 3.141592653589793238462643383 (that's all that I've memorized it to) but the digits go on forever without a repeating pattern.

Answer 5

a real number is anything that you could make with apples.
1 apple, 500 apples, 2/3 of an apple, -3 apples (I owe you 3 apples), etc.

an imaginary number is an expression that can't exist in the real world, but is neccessary for math to work. square root of -1 is the most common example.

I don't know about the status of Pi, but I would think it falls under real.

Answer 6

an imaginary number is the square root of a negative number. pi is not a imaginary number. the classic example of imaginary numbers is i, which equals the square root of -1. when someone writes 2i however, they are writing the square root of -4, not -2. This is the case for any number ni. ni=(V-(n squared). the v means square root. (the pattern is as such, i:V-1, 2i:V-4, 3i:V-9, 4i:V-16, etc.)
PS: i is usually in italics (bent forward) when refering to V-1.

Answer 7

A real number is any positive or negative whole integer
-3
9

pi is a integer
I didn't memorize to the 50th decimal place an imaginary number!

Answer 8

Pi's not imperfect. It's irrational.