rational
-18
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.
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.
4.6 is rational.
Yes, any number that can be expressed as a fraction is rational. Since 18 out of 2 is the same as 18/2, it is rational.
It is a rational number
rational
-18
-18 is the ratio of -18 and 1 ... nice and rational. Also the ratio of 18 and -1, of 36 and -2, of 180 and -10, etc.
Sqrt(18/2) =Sqrt(9) =3 which is rational.
yes it is an irrational numberNo because 18 is a rational number
Yes
Yes.
No, because 3.6 can be expressed as a fraction in the form of 18/5 which is a rational number
irrational
18 is the ratio of 18 to 1. It's completely rational.