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There is no such number. The empty set is a subset of rational numbers and, by definition, it contains no numbers so nothing that can be common to any other subset.

Alternatively, all rational numbers less than -1 and all rational numbers greater than 1 are subsets of rational numbers. There is no number common to them.

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Q: What is the smallest digit that's common in all subsets of the rational numbers?

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There is no such number.S = {1, 2} and T = {£, 4} are two subsets of rational numbers. They have no digit in common.

They are real numbers.

Because understanding rational and whole numbers and in particular prime numbers it is useful when finding the lowest common multiple or the highest common factor of numbers.

They are both rational numbers

The smallest common factor of any set of numbers is 1.

All factors are whole numbers and all whole numbers are rational numbers (a rational number is one which can be expressed as one integer over another integer, and whole numbers can be expressed as themselves over 1), thus all factors are rational numbers and so all greatest common factors are rational numbers. The set of whole numbers is a [proper] subset of the set of rational numbers: ℤ ⊂ ℚ

It is a trivial difference. If you multiply every term in the equation with rational numbers by the common multiple of all the rational numbers then you will have an equation with integers.

The one thing they have in common is that they are both so-called "real numbers". You can think of them as points on the "real number line".Both are infinitely dense, in the sense that between any two rational numbers, you can find another rational number. The same applies to the irrational numbers. Thus, there are infinitely many of each. However, the infinity of irrational numbers is a larger infinity than that of the rational numbers.

The smallest of the two numbers could be 850.

By finding their common denominator & adding the top numbers of-the fractions. : )

They are real numbers, so they share all the properties of real numbers.

There cannot be a smallest common factor of just one number. To be common there need to be at least two numbers.

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