Yes, 6.32 is a rational number because it can be expressed as a ratio of two integers. In this case, 6.32 can be written as 632/100, which simplifies to 158/25. Since 158 and 25 are both integers and the denominator is not zero, 6.32 is indeed a rational number.
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Yes.
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
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Yes. Any rational number divided by another rational number is also rational.