Rational numbers:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Irrational numbers:
square root of (2)
square root of (3)
square root of (5)
square root of (6)
square root of (7)
square root of (8)
square root of (10)
square root of (11)
square root of (12)
square root of (13)
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The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
Infinitely many. In fact there are more irrational numbers between 1 and 10 than there are rational numbers - in total!
Rational numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 . . . . . Irrational numbers: square root of (2, or 3, or 5, or 6, or 7, or 8, or 10, or 11, or 12, or 13)
-52 is a rational number because it can be expressed as a fraction in the form of -52/1
There is no such number. Between any two irrational numbers there are infinitely many irrational numbers. So, the claim that x is the irrational number closest to ten can be demolished by the fact that there are infinitely many irrational numbers between x and 10 (or 10 and x).