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
Yes, 3.14285 is a rational number because it can be expressed as the fraction 314285/100000. Rational numbers are defined as numbers that can be written as the quotient of two integers. Since 3.14285 has a finite decimal representation, it is classified as rational.
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.
7.25 is a rational number because it can be expressed as a fraction. Specifically, it can be written as 725/100, which is the ratio of two integers. Rational numbers are defined as numbers that can be expressed in the form of a/b, where a and b are integers and b is not zero. Since 7.25 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.
The number 82 is a rational number because it can be expressed as a fraction, specifically ( \frac{82}{1} ). Rational numbers are defined as numbers that can be written as the quotient of two integers, where the denominator is not zero. Since 82 meets this criterion, it is classified as rational.
Yes, -13 is a rational number because it can be expressed as a fraction, specifically as -13/1. Rational numbers are defined as numbers that can be written in the form of a fraction where both the numerator and denominator are integers, and the denominator is not zero. Since -13 meets these criteria, it is classified as rational.
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.