Any number or decimal number that can be expressed as fraction is rational.
If a set is closed under an operation. then the answer will be a part of that set. If you add, subtract or multiply any two rational numbers you get another national number. But when it comes to division, it is closed except for one number and that is ZERO. eg 3.56 (rational number) ÷ 0 = no answer. Since no answer is not a rational number, that rational numbers are not closed under the operation of division.
what are the seven properties of rational numbers
A rational number is a continuous quantity that is a quotient of two integers in which the second integer is a natural number. Rational numbers include the integers as well as non-integers such as fractions and decimals. Rational numbers are the direct result of the arithmetical operation of division.
No because they have different mathematical properties
Not by itself. A mathematical operation has properties in the context of a set over which it is defined. It is possible to have a set over which properties are not valid.Having said that, the set of rational numbers is closed under subtraction, as is the set of real numbers or complex numbers.Multiplication is distributive over subtraction.
The relevant property is the closure of the set of rational numbers under the operation of addition.
Division by 0 is not a valid mathematical operation - not just for rational numbers.
If a set is closed under an operation. then the answer will be a part of that set. If you add, subtract or multiply any two rational numbers you get another national number. But when it comes to division, it is closed except for one number and that is ZERO. eg 3.56 (rational number) ÷ 0 = no answer. Since no answer is not a rational number, that rational numbers are not closed under the operation of division.
what are the seven properties of rational numbers
A rational number is a continuous quantity that is a quotient of two integers in which the second integer is a natural number. Rational numbers include the integers as well as non-integers such as fractions and decimals. Rational numbers are the direct result of the arithmetical operation of division.
No because they have different mathematical properties
Sadly, it is not. It is the ratio of -51 to 1. That simple operation demonstrates that your number is quite rational.
Not by itself. A mathematical operation has properties in the context of a set over which it is defined. It is possible to have a set over which properties are not valid.Having said that, the set of rational numbers is closed under subtraction, as is the set of real numbers or complex numbers.Multiplication is distributive over subtraction.
10/0 is none of those things. It's not a number, and doesn't have the properties of any kind of number. It's a symbol for an operation that's not permitted ... division by zero.
2 is 2, by definition. If you mean "what are it's properties?" it is prime, an integer, a real number and rational.
The sum of just one rational number is simply itself and so it is rational. A sum normally refers to a mathematical operation on two or more numbers. Please edit the question to include more context or relevant information.
It is a rational number. It can be written as a fraction.