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What rational number is greater than 7 but less than 8?
There are an infinite number of rational numbers that are greater than 7 but less than 8. Any fraction between those two numbers is a rational number, such as: 7 1/8, 7 1/4, 7 1/3, 7 1/2, or even numbers such as 7 4/784 or 7 452/453.
What is the difference between a whole number and a rational number?
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.
Six rational numbers between 3 and 4?
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.
What subset of real numbers does fourteen belong?
To any set that contains it! It belongs to {14}, or {14, sqrt(2), pi, -3/7}, or all whole numbers between 3 and 53, or multiples of 7, or composite numbers, or counting numbers, or integers, or rational numbers, or real numbers, etc.
What are the rational numbers from 1 to 100?
Rational numbers are fractions. There are infinitely many fractions between 1 and 100. You cannot list them all.But numbers like 1/2 and 1/3 are rational and so are ones like 7 which is 7/1.If you give me any two rational numbers, say 6/8 and 7/8, I can find a rational number in the middle. Let's just right 6/8 as 12/16 and 7/8 as 14/16 then 13/16 is in the middle of those two. I can do that again with 13/16 and 14/6 by writing them as26/32 and 28/32 and 27/32 in the middle.I am sure you can see how I can keep doing this forever. This illustrates how between any two rational numbers there is always another. In fact, I just pick the number in the middle of the two, but there are many others between any two rational numbers. We say the rational numbers are a dense subset of the real numbers.
