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Is -18 rational

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Anonymous

7y ago
Updated: 4/28/2022

-18 is a rational number

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Wiki User

7y ago

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Is -12 divided by 6 rational or irrational?

-18


Why is 0.18 a rational number?

Any terminating or non-terminating decimal digit is rational. The easiest way to look at this is, writing the number in the fractional from. 0.18 can be written as 18/100. Now, by the definition of a rational from, 18/100 is of the standard "p/q" from where q is not equal to 0 (q=100 here). Thus, it is a rational number.


Is 12 over 18 a rational or irrational number?

The fraction 12/18 can be simplified to 2/3 by dividing both the numerator and denominator by their greatest common divisor, which is 6. Since the fraction 2/3 can be expressed as a ratio of two integers and can be written in the form a/b where a and b are integers and b is not equal to 0, it is considered a rational number. Rational numbers are numbers that can be expressed as a ratio of two integers.


Is the square root of 18 rational and why?

No. √18 cannot be expressed as a fraction of the form p/q. 18 = 2 x 9 = 2 x 32 ⇒ √18 = √(2 x 32) = (√2) x 3. So if √2 is rational then √18 is rational. Assume √2 is rational. Then p and q can be found such that √2 = p/q is in its simplest form, that is p and q have no common factor. Consider: (√2)2 = (p/q)2 ⇒ 2 = p2/q2 ⇒ p2 = 2q2 Thus p2 is even, and so p must be even. Let p = 2r. Then: p2 = (2r)2 = 2q2 ⇒ 4r2 = 2q2 ⇒ 2r2 = q2 Thus q2 is even, and so q must be even. Let q = 2s. Thus p = 2r, q = 2s and so p and q have a common factor of 2. But p and q are such that they have no common factor. Contradiction. Thus the assumption that √2 is rational is false, that is √2 is not rational, so √18 is not rational.


Is 4.6 irrational or rational?

4.6 is rational.