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Any number that can be expressed as a fraction. When converted to decimal, they either give a finite number of places (e.g. 3/8 becomes 0.375) or give a recurring decimal (E.g. 1/3 becomes 0.333333...etc)

Irrational Numbers include pi, square root of 2 and e.

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1.5

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Q: Rational numbers greater than 1 but less than 2?
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When you multiply two rational numbers will you always get a number that is smaller than the two factors?

No. A rational number is ANY number that can be represented as one integer over a second integer (which cannot be zero). There is no requirement that the top integer is less than the bottom integer (an improper fraction is still a rational number - all integers are rational numbers as they can be represented as an improper fraction with a 1 as the denominator). Only if both rational numbers are less than 1 will the result of multiplying them together be less than both of them. If one rational number is greater than 1 and the other less than 1, then the result of multiplying them together is greater than the number less than 1 and less than the number greater than 1. If both rational numbers are greater than 1, then the result of multiplying them together is greater than both of them.


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

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.


Do irrational numbers contain fewer numbers?

No, the set of irrational numbers has a cardinality that is greater than that for rational numbers. In other words, the number of irrational numbers is of a greater order of infinity than rational numbers.


What rational number is greater than 7 but less than 8?

There are an infinite number of rational numbers that are greater than 7 but less than 8. Any fraction between those two numbers is a rational number, such as: 7 1/8, 7 1/4, 7 1/3, 7 1/2, or even numbers such as 7 4/784 or 7 452/453.


What are two rational numbers greater than one third whose product is less than one third?

1/2 and 1/2


Is there more rational numbers then irrational?

No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.


What set of numbers does -5 belongs?

Prime and odd numbers


Is there more rational numbers than irrational numbers?

No, the set of irrationals has a greater cardinality.


Why are positive rational numbers greater than negative rational numbers?

Because 1. Positive integers are greater than negative integers, and 2. Division by a positive number preserves the order.


What rational number is greater than 3 but less than 4?

3.5


Are negative numbers greater than less than or equal to positive numbers?

Less than.


Is positive 13 greater than or less than negative 51?

Greater than. Positive numbers are greater than negative numbers.