Not at all.
6/11 is greater than 1/3 .
Your statement is true if both fractions have the same numerator.
It is because of the way in which positive and negative numbers are defined.
All integers are rational numbers.
Yes - all whole numbers are rational numbers.
I'm not sure if this is what you're looking for: Real numbers greater than zero. Includes rational and irrational numbers.
Not at all. The class of "natural" numbers are all positive, but the classes of "real" numbers and "rational" numbers include negative numbers.
Because 1. Positive integers are greater than negative integers, and 2. Division by a positive number preserves the order.
Yes. It can also be negative in the numerator. Both positive and negative numbers (as well as zero) can be rational numbers. Both positive and negative numbers can be irrational numbers. Both positive and negative numbers (as well as zero) can be integers.
Natural numbers are a special kind of Rational numbers. Rational numbers can be expressed as a fraction. (Positive) fractions with the same (nonzero) numerator and denominator are natural numbers, for example 9/9 = 1.
It is because of the way in which positive and negative numbers are defined.
The sign of the sum is positive when the absolute value of the positive addend is greater than that of the negative addend.
All integers are rational numbers.
Yes - all whole numbers are rational numbers.
Not necessarily. +sqrt(2) is positive but not rational.
I'm not sure if this is what you're looking for: Real numbers greater than zero. Includes rational and irrational numbers.
Rational numbers can be negative or positive.
Real numbers include positive and negative numbers, integers and fractional numbers, and even irrational numbers - numbers that are between rational numbers, but that are not rational numbers themselves. (A rational number is one that can be written as a fraction, with integers in the numerator and the denominator.) Real numbers can be represented as points on a straight line.
process by which a fraction containing radicals in the denominator is rewritten to have only rational numbers in the denominator.