A rational number is any number which can be written as a quotient of 2 integers i.e can be expressed as a/b.
So six rational numbers between 3 and 4 would be
10/3, 17/5, 19/6, 11/3, 13/4, 22/7
Though there are many more than that.
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They are: 7.25, 7.5 and 7.75
There are infinitely many rational numbers between 2 and 3. This is because rational numbers are numbers that can be expressed as a fraction of two integers, and there are infinitely many integers between any two integers. Therefore, there are an infinite number of fractions between 2 and 3 that can be written in the form of (n/d) where n and d are integers.
3/10 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
A rational number is any number that, when put into decimal form, terminates after a finite amount of digits OR begins to repeat the same pattern of digits. An easy way to find rational numbers is that any number that can be expressed in a fraction (1/2, 9/4, etc) of two integers.There is an infinite number of rational numbers between any two rational numbers. For example, say we have the numbers 1 and 2. What if you add them and divide by 2? Is that a rational number? Is it between 1 and 2? And to see that there is an infinite number of numbers between 1 and 2, take the number you just found, it is 3/2, now find a number between it and 2. You can keep doing this.
Whole numbers are the counting numbers: 1, 2, 3, 4, 5, 6, etc. 0 and the negative numbers -1, -2, -3, -4, etc. are also sometimes considered whole numbers. Rational numbers are numbers which can be expressed by a/b, where a and b are both integer (whole) numbers. In other words, rational numbers are numbers which can be written as fractions of whole numbers. All whole numbers are rational numbers because they can be expressed as a fraction where the numerator is the original number and the denominator is 1 (e.g., 5 = 5/1). Not all rational numbers are whole numbers, however. For instance, 3/7 is a rational number because it is a fraction of integers, but 3/7 is not a whole number.