Yes. A half multiplied by two gives one for example. Three by a third or 4 by a fourth or 5 by a fifth and so on, are all examples.
Yes. This is the same as asking for one rational number to be subtracted from another; to do this each rational number is made into an equivalent rational number so that the two rational numbers have the same denominator, and then the numerators are subtracted which gives a rational number which may possibly be simplified.
1.5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The other is 7/18.
Their count. Two in the first case, one in the second.
They are not. They are countably infinite. That is, there is a one-to-one mapping between the set of rational numbers and the set of counting numbers.
The short answer to your question: yes. This is one of the central axioms of math. If you'd like a bit more detail, try researching number theory.
A rational number is one that can be expressed as a/b The sum of two rational numbers is: a/b + c/d =ad/bd + bc/bd =(ad+bc)/bd =e/f which is rational The difference of two rational numbers is: a/b - c/d =ab/bd - bc/bd =(ab-bc)/bd =e/f which is rational The product of two rational numbers is: (a/b)(c/d) =ac/bd =e/f which is rational
Only one way: the numbers must be conjugates of one another.
Yes. A rational number is one that you can write as a fraction a/b, with integers a and b (b not equal to zero). For a whole number, set b = 1. For example, 5 = 5/1, so it is a rational number.
Yes. This is the same as asking for one rational number to be subtracted from another; to do this each rational number is made into an equivalent rational number so that the two rational numbers have the same denominator, and then the numerators are subtracted which gives a rational number which may possibly be simplified.
Provided that the rational number is not 0, the product is irrational.
1.5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
-101 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The other is 7/18.
It is the number one.
When dealing with numbers greater than one, the sum will never be greater than the product. This question has no rational answer.
1/3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.