Is 3.14 a rational irrational real whole integer or natural number?

Answer 1

3.14 is a rational number.

• natural number?

The natural numbers are the counting numbers: 1, 2, 3, 4, ...

(sometimes 0 is included)

Is 3.14 one of these? No

• whole integer?

Integers are the whole numbers: -3, -2, 0, 1, 2, ...

Is 3.14 one of these? No

• irrational?

Irrational Numbers are those numbers which cannot be expressed as one integer over (divided by) another non-zero integer: 1/2 5/8, 9/2, ...

3.14 = 314/100 = 157/50 can be expresses as one integer over another and so it is not one of these.

• rational?

Rational numbers are those numbers which can be expressed as one integer over (divided by) another non-zero integer: 1/2 5/8, 9/2, ...

3.14 = 314/100 = 157/50 can be expresses as one integer over another and so it is one of these - yes!

• complex

Complex numbers are of the form (x + yi) where i is the imaginary number the square root of -1 (that is i = √-1 so that i2 = -1) .

x = 3.14, y=0, ie 3.14 = (3.14 + 0i), so yes, 3.14 is a complex number!

(in fact all real numbers are complex numbers).