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Is it true that between 0 and 1 there are infinite of rational numbers?
Wiki User
∙ 10y ago
yes
Wiki User
∙ 10y ago
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Is there infinite rational numbers between 2 rational numbers?
No, only for irrational numbers. Actually, that's not true. Take any two rationals, a/b and c/d where a,b,c,d are integers and b,d are nonzero. The average of a/b and c/d is (ad+bc)/2bd. This is a rational number between a/b and c/d. Now take the average of this new number and the first number. This gives you: (2abd+abd+cb^2)/(2db^2) which is rational and also between the first and third number. We could carry on this process ad infinitum. We would then have an infinite collection of numbers between a/b and c/d. Hence the answer is yes.
Is it sometimes true when the product of Two rational numbers are rational?
No, it is always true.
Is it true that all whole numbers are rational numbers?
Yes, it is true.
Numbers between 0.06 and 0.05?
There are an infinite amount of numbers. That's true. Here are three examples: 0.051, 0.052, 0.053
What is always true about the sum of two rational numbers?
It is a rational number.
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 more rational numbers than irrational numbers true or false?
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
Are more rational numbers than irrational numbers true or false?
In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.
Is there infinite rational numbers between 2 rational numbers?
No, only for irrational numbers. Actually, that's not true. Take any two rationals, a/b and c/d where a,b,c,d are integers and b,d are nonzero. The average of a/b and c/d is (ad+bc)/2bd. This is a rational number between a/b and c/d. Now take the average of this new number and the first number. This gives you: (2abd+abd+cb^2)/(2db^2) which is rational and also between the first and third number. We could carry on this process ad infinitum. We would then have an infinite collection of numbers between a/b and c/d. Hence the answer is yes.
What is true about the product of two rational numbers?
It will be rational.
Is it sometimes true when the sum of two rational numbers are rational?
No, it is always true
Is it sometimes true when the product of Twp rational numbers are rational?
No, it is always true
Is it sometimes true when the product of Two rational numbers are rational?
No, it is always true.
Is it true that all whole numbers are rational numbers?
Yes, it is true.
Are some rational numbers integers?
That's a true statement. Another true statement is: All integers are rational numbers.
What is always true about the sum of two rational numbers?
It is a rational number.
Numbers between 0.06 and 0.05?
There are an infinite amount of numbers. That's true. Here are three examples: 0.051, 0.052, 0.053
