The average of the two will be rational and it will be between them.
3.1 is a rational number because it is a terminating decimal that can be expressed as an improper fraction in the form of 31/10
There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway: 2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.
Yes. Take the average of the two numbers. Since those two numbers are rational, their average will also be rational.
Root 2 is appx. 1.414 and root 3 is appx. 1.732. There are many rational number between that. For instance: 1.5, 1.6, etc.
The average of the two will be rational and it will be between them.
3.1 is a rational number because it is a terminating decimal that can be expressed as an improper fraction in the form of 31/10
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
There exists infinite number of rational numbers between 0 & -1.
Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.
There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway: 2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.
See lemma 1.2 from the cut-the-knot link. Yes, you can.
It is proven that between two irrational numbers there's an irrational number. There's no method, you just know you can find the number.
A rational number is any number that, when put into decimal form, terminates after a finite amount of digits OR begins to repeat the same pattern of digits. An easy way to find rational numbers is that any number that can be expressed in a fraction (1/2, 9/4, etc) of two integers.There is an infinite number of rational numbers between any two rational numbers. For example, say we have the numbers 1 and 2. What if you add them and divide by 2? Is that a rational number? Is it between 1 and 2? And to see that there is an infinite number of numbers between 1 and 2, take the number you just found, it is 3/2, now find a number between it and 2. You can keep doing this.
Suppose the two rational numbers are x and y.Then (ax + by)/(a+b) where a and b are any positive numbers will be a number between x and y.
Yes. Take the average of the two numbers. Since those two numbers are rational, their average will also be rational.
Root 2 is appx. 1.414 and root 3 is appx. 1.732. There are many rational number between that. For instance: 1.5, 1.6, etc.