number line. Writing numbers on a number line makes it easy to see which numbers are greater or less. Negative numbers (−) Positive numbers (+) (The line goes right and left forever.) The number on the left is less than the number on the right. Examples: 5 less than 8; 5 less than 8; 5 is less than 8; 5 is less than 8; 5
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
The answer will depend on whether you want percentage equivalents of rational numbers or one rational number as a percentage of another.
Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.
Yes. Take the average of the two numbers. Since those two numbers are rational, their average will also be rational.
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.
If the number can be expressed as a ratio of two integer (the second not zero) then the number is rational. However, it is not always a simple matter to prove that if you cannot find such a representation, then the number is not rational: it is possible that you have not looked hard enough!
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.
No. a set of numbers is dense if you always find another number in the set between any two numbers of the set. Since there is no whole number between 4 and 5 the wholes are not dense. The set of rational numbers (fractions) is dense. for example, we can find a nubmer between 2/3 and 3/4 by averaging them and this number (17/24) is once again a rational number. You can always find tha average of two rational numbers and the result is always a rational number, so the ratonals are dense!
See lemma 1.2 from the cut-the-knot link. Yes, you can.
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.
All integers are rational numbers.
It is 1