they are classified in positive and negative, etc.
Rational numbers
Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.Combine these with the non-rational roots of finite polynomial equations and you have the set of irrational numbers.Any rational or irrational number is classified as an element of the set of Real numbers, R.
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.
No because irrational numbers can not be expressed as fractions whereas rational numbers can be expressed as fractions
Rational numbers
0.09 is a rational number because it can be expressed as a fraction, specifically 9/100. Rational numbers are defined as numbers that can be written as the quotient of two integers, and since 0.09 fits this definition, it is classified as rational.
The number 7.11 is a rational number because it can be expressed as a fraction, specifically ( \frac{711}{100} ). Rational numbers are defined as numbers that can be represented as the quotient of two integers, and since 7.11 meets this criterion, it is classified as rational.
1.7 is a rational number because it can be expressed as a fraction, specifically ( \frac{17}{10} ). Rational numbers are defined as numbers that can be written as the quotient of two integers, where the denominator is not zero. Since 1.7 meets this criterion, it is classified as rational.
Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.Combine these with the non-rational roots of finite polynomial equations and you have the set of irrational numbers.Any rational or irrational number is classified as an element of the set of Real numbers, R.
No, all real numbers are classified as either rational or irrational. Rational numbers can be expressed as the quotient of two integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal expansions. Thus, there are no real numbers that fall outside these two categories.
Yes, 4.33333 is a rational number because it can be expressed as a fraction. Specifically, it can be written as ( \frac{13}{3} ) or as ( 4 + \frac{1}{3} ). Rational numbers are defined as numbers that can be expressed as the quotient of two integers, and since 4.33333 meets this criterion, it is classified as rational.
Yes, 2.343443444 is a rational number because it can be expressed as a fraction of two integers, specifically as 2343443444/1000000000. Rational numbers are defined as numbers that can be represented in the form ( \frac{a}{b} ), where ( a ) and ( b ) are integers and ( b ) is not zero. Since 2.343443444 fits this definition, it is classified as rational.
No, 5.3 is not an irrational number; it is a rational number. Rational numbers can be expressed as a fraction of two integers, and 5.3 can be written as 53/10. Therefore, since it can be represented as a fraction, it is classified as rational.
If there are no numbers after the 9 it is rational
No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.