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Is negative three an irrational number?
NO!!! It is an integer. Casually irrational numbers are those where the decimal digits go to infinity and there is no regular order in the decimal number sequence. pi = 3.1415926.... Is probably the most well known irrational number.
Is three an irrational number?
No, it is an integer, and therefor part of the rational number system. An irrational number is, if I remember correctly, a number that goes on forever, and doesn't have a pattern like π (pi)
Is it rational or irrational if there is a line over the decimal?
A line over the decimal part of a number indicates that there is a part that recurs infinitely many times. Such numbers are rational.
Can negative numbers be part of the real number system?
Yes
What is the main differences among the following integer numbers rational numbers and irrational numbers?
Integer numbers are numbers which have no fractional part, such as ...,-2, -1, 0, 1, 2,... Rational numbers are numbers which can be expressed as a ratio or fraction (e.g. 1/5, 1/3, 1/2, 0.05, etc.) Irrational numbers are numbers such as PI which cannot be accurately represented by a fraction. These are also sometimes called "non-repeating decimals". By definition an irrational number has an infinite number of "significant" digits to the right of the decimal point. (Any number with a finite number of significant digits can be expressed as a simple fraction, e.g. 0.01 = 1/100, 3.142857 = 22/7 which is a commonly used approximation for the irrational number pi which begins 3.14159...)
