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How many rational numbers can be inserted between two irrational numbers?
Infinitely many! There are an infinite number of rational numbers between any two irrational numbers (they will more than likely have very large numerators and denominators), and there are an infinite number of irrational numbers between any two rational numbers.
Why is there no greatest common multiple for any pair of numbers?
Because the common multiples of any two or more numbers are infinite.
What is the greatest common multiple of 25 and 10?
The greatest common multiple of any two or more numbers cannot be determined because the common multiples of any two or more numbers are infinite.
Which of these are solutions to 2y - 2x equals 10?
Any pair of numbers where the 'y' is 5 more than the 'x'. There are an infinite number of suitable pairs.
Which prime numbers are greater than 100?
There are an infinite number of primes greater than any number given.
Are there fewer rational numbers than irrational numbers?
For any given subset, yes, because there are an infinite number of irrational numbers for each rational number. But for the set of ALL real numbers, both are infinite in number, even though the vast majority of real numbers would be irrational.
Are there any infinite numbers between -2 and -1?
-1
What is the multiple 9?
They are the infinite list of numbers of the form 9*k where k is any integer.They are the infinite list of numbers of the form 9*k where k is any integer.They are the infinite list of numbers of the form 9*k where k is any integer.They are the infinite list of numbers of the form 9*k where k is any integer.
How many rational numbers are there between-10 and 10?
Infinite. A rational number is any number that can be expressed as the quotient of two integers, so -500,000,001/50,000,001 is a rational number slightly greater than -10. Strangely, there are even more irrational numbers, which are also infinite. Ow. My brain always hurts on that one.
Can two numbers have more then one common multiple?
Yes. Any pair of numbers has an infinite number of common multiples.
Why is there no highest common multiple?
Because the common multiples of any two or more numbers are infinite.
Is a set of numbers less than 0 finite or infinite?
A set of numbers less than 0 is infinite because there are infinitely many negative numbers. For example, you can always find another negative number by subtracting one more from any given negative number, such as going from -1 to -2, and so on. Thus, the set of all negative numbers continues indefinitely.
