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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?

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βˆ™ 12y ago
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Vivek Choudhary

Lvl 2
βˆ™ 3y ago

3+4=7

3/7Γ—7=21/7

4/7Γ—7=28/7

22/7 23/7 24/7 25/7 26/7 27/7

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Keara O'Conner

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βˆ™ 3y ago
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Q: Insert 2 rational numbers between 3 and 4?
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Related questions

Are all number between 1 and 2 rational numbers?

No, there are more irrational numbers between 1 and 2 than there are rational numbers.


Are all numbers between 1 and 2 rational numbers?

No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!


Rational number between 2 and 2.5?

There are infinitely many rational numbers between any two numbers. Examples of rational numbers between 2 and 2.5 are: 2.1, 2.2, 2.3


How many rational numbers can be put between 2 and7?

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.


What are the rational numbers between -2 and 2?

There are infinitely many rational numbers between any two (different) numbers, no matter how close together they are.


How do you find a rational number between two given rational numbers?

Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.


What is difference between fractional and rational numbers?

All rational numbers are fractional but all fractional numbers are not rational. For example, pi/2 is fractional but not rational.


What is the states that an infinite number of rational numbers can be found between any two rational numbers?

That is the property of infinite density of rational numbers. If x and y are any two rational numbers then w = (x + y)/2 is a rational number between them. And then there is a rational number between x and w. This process can be continued without end.


What are the five rational numbers between -2 and -1?

There are not THE five rational numbers between -2 and -1, there are an infinite number of them. -1.1, -1.01, -1.001, -1.000001 and -1.456798435854 are five possibilities.


Rational number between 3 and 4?

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.


What are 3 rational numbers between 5 and - 2?

They are 4, 3 and 2 which are rational numbers because they can be expressed as fractions as for example 3 as a fraction is 3/1.


Suppose that x is a number between 2 and 27 For how many different values would be rational number?

There are infinitely many rational numbers between 2 and 27.