0
Add your answer:
Earn +20 pts
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.
How can you prove that 3 plus 2x⁵ is an irrational number where x⁵ is irrational?
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
How many rational numbers are between 1 and 1000?
There are an infinite number of rational numbers between any two given numbers.
What number matches the number that follows 984339.78?
There is no such number. The given number is rational and rational numbers are infinitely dense. Between any two rational numbers - no matter how close together - there are an infinite number of rational numbers. That means, whatever number you propose as the "next" number, there are infinitely many numbers between 984339.78 and your proposed number. So it cannot be the "next".
Rational numbers between 3 and 5?
There are infinitely many of them.Some of them are given by:All numbers of the form 3n+1/n for n ∈ the prime numbers are rational numbers between 3 & 4, and as there are an infinite number of prime numbers, there are an infinite number of these.All numbers of the form 4n+1/n for n ∈ the prime numbers are rational numbers between 4 & 5, and as there are an infinite number of prime numbers, there are an infinite number of these.There are still more than the infinitely many given above.
Can you get definitely an integer and rational number between any two given numbers?
No. You cannot get an integer between 1.2 and 1.3
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?
What is the irrational number closets to 13?
There is no such number. Irrational numbers are infinitely dense. Given any number near 13, there are more irrational numbers between that number and 13 than there are rational numbers in all.
How many rational numbers can be inserted between two given rational numbers?
Infinitely many.Infinitely many.Infinitely many.Infinitely many.
What is the rational number between 4over9 and 11over12?
There is not "the" rational number since there are infinitely many. A rational number between the two given numbers is the mean [average] of the two: 0.5*(4/9 + 11/12) = 0.5*(16/36 + 33/36) = 0.5*49/36 = 49/72
Can you have unlimited number of equivelant fractions to any given number?
Yes providing that they are rational numbers
Which number is a irrational 317 25 0.6 33?
The given four numbers are all rational numbers
What irrational numbers can turn into a rational number?
No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.
What is the example rational numbers?
Given any two integers, x and y, such that y is not 0, then x/y is a rational number. So for example, 3476/43 is a rational number.
