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Is 2 and 2/3 a Rational, Irrational, Natural, or Whole Number? Or is it an Integer? Need help plz!:)

2007-12-06 15:13:36 · 2 answers · asked by HollyW 1 in Science & Mathematics Mathematics

2 answers

The natural numbers are 1, 2, 3, ...
The integers are ... -2, -1, 0, 1, 2, ...
Different authors mean different things by "whole number"
Some say natural numbers, some say integers.
Rational numbers can always be expressed as a ratio of two integers.
Irrational numbers are any numbers that aren't rational.

So 2 is rational, natural, whole, and integer.

2/3 is rational.

2007-12-06 15:18:27 · answer #1 · answered by jgoulden 7 · 2 0

a rational number is any number that can be written a/b where b does not equal zero. All rational numbers either terminate or repeat. 2 and 2/3 can be written as 8/3, 3 does not equal zero, and if you do the division, 8 divided by 3 you get 2.33333333 where the 3 repeats forever. Thus it is a rational number.

Natural numbers are counting numbers (1,2,3....)
Whole numbers are all natural numbers and zero (0,1,2,3...)
Integers are all whole numbers, and their negatives (....-3,-2,-1,0,1,2,3...)
Rational numbers are defined above.
Irrational numbers are numbers that either can't be written as A/B where A & B are integers (like the constant Pi for instance), or numbers that can be written A/B, but never terminate or repeat.

2007-12-06 23:21:03 · answer #2 · answered by mikenwu99 3 · 0 0

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