Irrational Numbers, like irrational people, have no rhyme or reason. If you divide the numerator of a fraction by the denominator, the decimal portion is in most cases non-repeating and seemingly unpredictable. For example, pi, 3.1415..., the fraction 22 divided by 7. On the other hand, a rational number can be an integer, zero, or a fraction whose decimal portion leads to a finite end. For example, -1, 0, 1, 2, 3, the fraction 3 divided by 4, or 0.75.
√2 = 1.4142135.........π = 3.151912653.....Neither of these numbers can be written as a fraction of any kind, so cannot be a ratio, therefore are not rational. ■
The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural numbers are rational.
6.6 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.
You get a rational number.
Another rational number.
Natural numbers are a special kind of Rational numbers. Rational numbers can be expressed as a fraction. (Positive) fractions with the same (nonzero) numerator and denominator are natural numbers, for example 9/9 = 1.
A whole number is not a set of any kind and so cannot be a subset of rational numbers.
No. Although the count of either kind of number is infinite, the cardinality of irrational numbers is an order of infinity greater than for the set of rational numbers.
either irrational numbers, integers, integers, rational numbers, or whole numbers
There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.
If there are no numbers after the 9 it is rational
√2 = 1.4142135.........π = 3.151912653.....Neither of these numbers can be written as a fraction of any kind, so cannot be a ratio, therefore are not rational. ■
Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.
No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.
The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.