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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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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.
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.
How many numbers are greater than 76 but less than 89?
Twelve numbers exactly are greater than 76 and less than 89.
Is .070 greater than or less than?
Yes, it is. It is greater than some numbers and less than others.
What are rational numbers less than 5?
-- Every whole number that's less than 5 is a rational number less than 5. -- Every terminating decimal that's less than 5, and some that don't terminate, is a rational number less than 5. -- Every number less than 5 that you can completely write with digits is a rational number less than 5.
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.
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.
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 are two rational numbers greater than one third whose product is less than one third?
1/2 and 1/2
What set of numbers does -5 belongs?
Prime and odd numbers
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.
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.
Is there more rational numbers than irrational numbers?
No, the set of irrationals has a greater cardinality.
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.
What are all the numbers that are rational and less than -5?
Here, the given rational number is 5 and it is also a whole number. It can also be expressed in fraction form as 5/1. We can determine all the whole numbers less than 5 as a rational number. Hence, 1, 2, 3, and 4 are the rational numbers less than 5.
