Yes. It's the ratio of -8 to 1 (among others).
Any number that you can completely write down with digits, plus
a decimal point or a fraction bar if you need them, is rational.
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The square of a negative number is always positive. The square of -8 = 64, a rational number
8/23 is a rational number because all fractions and integers are rational numbers
Any number that is presented as an integer "over" (aka divided by) an integer is automatically a rational number - that's what the definition of a rational number is.
Yes.
Yes, any two non-zero integers, when divided will result in a rational number.