No. A rational number is any number whose magnitude is the ratio of whole numbers.
The magnitude of (one third) is the ratio ( 1 / 3 ).
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No. An irrational number has a whole number, followed by a decimal, which has no repeating pattern to it. For example, Pi: 3.14159265358979...... it goes on forever, with no pattern. unlike 5 and one-third: 5.33333333333333.... it goes on forever, but there is a pattern to it. or 4.12121212121212
No. One-third is a rational number. Any number that can be represented as a fraction using integers, like 1/3, 7/982, 67/5, etc. is rational.
Provided that the rational number is not 0, the product is irrational.
No. Any number you can completely write down with digits, plus a fraction bar or a decimal point if you need one, is rational.
If you divide a rational number by an irrational number, or vice versa, you will ALMOST ALWAYS get an irrational result. The sole exception is if you divide zero (which is rational) by any irrational number.