√3 is an integer, irrational, and a real number. -8/4 is an integer and a real number, .14444444444445 is a..

Question

irrational number, a rational number, and a real number... is this true?

are all these true?

Answer 1

Real vs. imaginary/complex:
Real numbers are any numbers that can be found on the real number line. The other group of numbers include i which is the sqrt(-1). These numbers (e.g. 2+5i) are called imaginary.

All your numbers are real (√3, -8/4, 0.1444444444445)

Integer vs. Non-integer (decimal numbers).
Integers are ...-5, -4, -3, ... 0, 1, 2, 3, ... that have no fractional amount. In your example, only -8/4 is an integer (because it is the same as -2)

Rational vs. Irrational:
Rational numbers can be represented as a fraction (a ratio of two integers). All integers are rational. In addition anything that can be represented as a fraction, a fixed place decimal or even a repeating decimal is also *rational*. This is because they can all be converted to fractions.

In your example -8/4 and 0.14444444444445 are both rational. 0.14444444444445 is the same as 14444444444445/100000000000000.

Or if you meant 0.144... repeating forever, this is the same as 1/10 + 4/90 = 13/90.

√3 is irrational because there is no way to write it as a fraction using integers. The decimal value of √3 goes forever without ever repeating.

Summarizing:
√3 = Real, Non-integer, Irrational
-8/4 = Real, Integer, Rational
0.14444444444445 = Real, Non-integer, Rational

Answer 2

√3 is a real number. edit: AND irrational.
-8/4 or -2 is a rational AND real number.

Irrational numbers are real numbers, so are rational numbers. The only difference being you can't express the irrational number as a ratio of two integers.

Answer 3

sqrt(3) is irrational, a real, but not an integer. -8/4 is an integer (-2) and a real. .14...45 is rational and real but not irrational.

Answer 4

uh, sqrt(3) is not an integer.

.14444444444445 is a real number and rational if the decimal terminates.

If the decimal is 1.4444444444444444... and does not terminate it can still be a rational number.

100x = 14.44444444444444
10x = 1.4444444444444...

subtract

90x = 13
so x = 13/90 = .144444444444444444444444444...

Answer 5

square root3 is an irrational number, -8/4 is a negative integer, .1444444445 is a rational number

Answer 6

False, It's a rational number and a real number. It's rational because it can be expressed as a fraction. Its real because it actually exists on the number line.

Answer 7

false-it's not rational or real.
the fact that it says rational AND irrational is a big clue-it can't be both