2006-09-15 13:40:02 · 8 answers · asked by YKSVOKIAHCT... 2 in Science & Mathematics ➔ Mathematics
What does rational numbers include?
2006-09-15 13:44:34 · update #1
A rational number is any number that can be written in the form a/b when b is not equal to 0. In other words a rational number is any number that can be written as a fraction, but the denominator is not equal to 0. To prove a number is rational just turn it into a fraction. Rational numbers include 25/4, 1/7, -5/8, 0/3, and all the other fractions. They can also be negative fractions. Good luck!
2006-09-16 02:11:26 · answer #1 · answered by zelle93 2 · 0⤊ 0⤋
In mathematics, a rational number (commonly called a fraction) is a ratio or quotient of two integers, usually written as the vulgar fraction a/b, where b is not zero.
Each rational number can be written in infinitely many forms, for example 3 / 6 = 2 / 4 = 1 / 2. The simplest form is when a and b have no common divisors, and every non-zero rational number has exactly one simplest form of this type with positive denominator. A fraction in this simplest form is said to be an irreducible fraction, or a fraction in reduced form.
The decimal expansion of a rational number is eventually periodic (in the case of a finite expansion the zeroes which implicitly follow it form the periodic part). The same is true for any other integral base above one, and is also true when rational numbers are considered to be p-adic numbers rather than real numbers. Conversely, if the expansion of a number for one base is periodic, it is periodic for all bases and the number is rational.
A real number which is not a rational number is called an irrational number.
2006-09-15 20:42:05 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Rational numbers are everything that's not intergers and wole numbers. That would be fractions, so 1/2, 1/3 ... are all rational numbers.
2006-09-15 23:17:18 · answer #3 · answered by hockey craze99 4 · 0⤊ 0⤋
Rational numbers are :
.....-5,-4,-3,-2,-1,0,1,2,3,4,5
2/3,-2/3,7/1,23/-8,0.17,10_1/2
rational numbers contain natural numbers, whole numbers, integers, arithmetic numbers, nonnegative rational numbers
The opposite of this is the Irrational numbers which contain
Pie ,square root numbers ,8/0, and continuous decimal numbers such as 0.121212121212 etc...
2006-09-15 20:54:44 · answer #4 · answered by Still_21_nheart 4 · 0⤊ 0⤋
Rational Numbers include: negative and positive numbers, zero, rational numbers (a/b, where b is different from zero) and radical numbers ( sqrta, where a is positive)
Hope this helps:)
2006-09-15 21:28:09 · answer #5 · answered by Kathya 2 · 0⤊ 0⤋
a number with a definate ending place like 12 or 802719, however, numbers like the square root of 2 or one third are not because the go on forever.
2006-09-15 20:47:34 · answer #6 · answered by tcarrw 3 · 0⤊ 0⤋
a rational # is any # that can be written asa ratio(a/b) and b doesnt = 0.
2006-09-15 20:48:19 · answer #7 · answered by Kim 2 · 0⤊ 0⤋
They're numbers that don't go on forever.
2006-09-15 21:26:12 · answer #8 · answered by Hidehiro 1 · 0⤊ 0⤋