Yes.
Since they are rational numbers, let's call the first one a/b and the second one c/d where a,b,c, and d are integers.
Now we can subtract by finding a common denominator. Let's use bd.
So we have ad/bd-cb/bc= (ad-bc)/CD which is rational since we know ad and bc are integers being the product of integers and CD is also an integers.
Call ad-bd=P and call CD=Q where P and Q are integers. We now see the difference is of two rationals is rational.
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Yes, that's true.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural numbers are rational.
Another rational number.
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
Yes.