1). Quick check:
Any number that you can completely write with digits is a rational number.
So yes, -41 is rational.
2). Formal mathematical analysis:
Any number that can be written as the ratio of two integers is rational.
-41 is the ratio of -41 and 1.
So yes, -41 is rational.
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41 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Yes.
All integers and ratios between two integers are rational numbers. They are defined as p/q where p and q are integers and q is not 0. Therefore -41 is a rational number (and a negative integer as well).
Yes because 0.164 can be expressed as a fraction in the form of 41/250
41 is an integer and not a fraction. However, it can be expressed in rational form as 41/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.