Yes, 2 is a rational number. It can be expressed as the ratio of two integers (mainly, 2 and 1).
You'll note that the square root of 2 is an irrational number. It cannot be expressed as the ratio of two integers. I bring this up, because you'll run into the square root of 2 a lot, especially in trig.
It helps to look at what sets are subsets of each other.
Examine this progression:
Natural numbers (0, 1, 2, etc.): Counting numbers, if you will.
Integers (-2, -1, 0, 1, 2, etc.): Positive and negative whole numbers.
Rationals (-2/5, 0, 3, 17/3, etc.): Can be expressed as the ratios of two integers.
Reals (-11/2, SQRT(2), pi, 0, 12, etc.): Without going into detail, numbers you would work with the most.
Complex (2 + 3i, 0, 4/3 + 0i, -i, etc.): Numbers with imaginary components (i^2 = -1).
Each set is a subset of the one below it. You can see here that integers are a subset of rationals. It is also in the real set and the complex set (where it can be written as 2 + 0i).
2007-01-23 02:56:26
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answer #1
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answered by Rev Kev 5
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A rational number is a number that can be represented as the ratio of two integers. So any integer is a rational number. For example, 2 can be represented as 2/1 or 4/2 or 6/3.
2007-01-23 10:45:27
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answer #2
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answered by just♪wondering 7
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Rational numbers should be all number from minus god knows what to + god knows what :D so no 2 is indeed a rational number
2007-01-23 10:45:40
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answer #3
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answered by Anonymous
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http://regentsprep.org/Regents/math/rational/Lrat.htm
try here, if 2 can be a fraction or a ratio then you are good!
2007-01-23 10:45:40
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answer #4
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answered by ebay_convert 5
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