1). This isn't a mathematical proof or definition, but it turns out that any number
that you can completely write with digits is rational. We will now attempt to write
2.7 completely, using digits:
2.7We did it! So we're pretty sure that 2.7 is probably a rational number.Now we'll check it out according to the official mathematical definition:
2). "A rational number is any number that can be written as the ratio of two whole numbers."
We will now attempt to write 2.7 as the ratio of two whole numbers:
27/10Again, we've succeeded! So 2.7 is definitely a rational number.Chat with our AI personalities
No, the square root of 27 is not a rational number. A rational number is a number that can be expressed as a fraction where both the numerator and denominator are integers. The square root of 27 is an irrational number because it cannot be expressed as a simple fraction and its decimal representation goes on indefinitely without repeating.
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.