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How many rational numbers are there between two consecutive rational numbers?
There are infinitely many rational numbers between any two consecutive rational numbers. This is because rational numbers can be expressed as fractions, and between any two fractions, an infinite number of other fractions can be found by taking the average of the two given fractions. Therefore, the set of rational numbers is dense, meaning there is no smallest gap between any two rational numbers.
Insert 2 rational numbers between 3 and 4?
Exploration task: Inserting rational numbers between two given rational numbers 1. Take any two rational numbers. 2. Add them. 3. Divide the result obtained by 2. 4. Observe the number obtained. Is the answer a rational number? Is it between two given numbers? Brainstorming: How many rational numbers can be inserted between two rational numbers?
How many rational numbers can be inserted between two given rational numbers?
Infinitely many.Infinitely many.Infinitely many.Infinitely many.
-155.23333333. rational or irrational?
This number is rational: If the number is exact as given, without the final period/decimal point, it is rational because it can be written with a finite number of digits. If the number is intended to be indicated as the repeating decimal -155.23333333..., then it is rational because numbers that can be written as repeating decimals are rational; this particular one is the sum of -155.2 - (3/100), which can be written as -15523/100.
What are the next fore numbers after 0.74?
There are no such numbers. Given any "next" number, it is possible to find one between 0.74 and that number. And then between 0.74 and THAT number and so on.
