Oh, dude, let me break it down for you. A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers. So, if you can write 5.12 as a fraction, then it's rational. Spoiler alert: you can totally write 5.12 as 512/100, which means it's a rational number. Like, no big deal.
yes
Yes.
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.
Yes. Any rational number divided by another rational number is also rational.
The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.
512 is an integer and not a fraction. However, it can be expressed in rational form as 512/1 which cannot be simplified.
180 / 512 = 0.3515625 0.3515625 x 512 = 180
512
How about: 2 to the power of 9 = 512
83 = 512
It is a rational number. It can be written as a fraction.
yes
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No.
Is 12.05 a rational number or irrational number?
The cubic root of 10 is an irrational number, as 10 is not a perfect cube. The only rational cubic roots are those of perfect cubes. These numbers include:1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.