12.1 12.2
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Rational numbers are numbers that can be expressed as the quotient of two integers (3/2, 15/16). All integers, then, are rational numbers (12 = 12/1).
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.
The prime numbers between 12 and 48 are 13,17,19,23,29,31,37,41,43,47.
The number 12 is a natural number, a whole number, an integer, and a rational number. A natural number is a positive integer starting from 1, which includes 12. Whole numbers include all natural numbers along with zero, so 12 is also a whole number. Integers include all whole numbers along with their negatives, making 12 an integer. Lastly, a rational number is any number that can be expressed as a fraction, and 12 can be written as 12/1, making it a rational number.
Integers are rational. Also, terminating decimal numbers, as well as repeating decimals (such as 3.12121212..., where "12" repeats over and over) are rational.