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You can't, but you can put them into an order (not necessarily ascending), thanks to the denumerability of the set of rational numbers.
To do so, consider the following chart:
1/1 1/2 1/3 1/4 1/5 1/6 1/7 ...
2/1 2/2 2/3 2/4 2/5 2/6 2/7 ...
3/1 3/2 3/3 3/4 3/5 3/6 3/7 ...
4/1 4/2 4/3 4/4 4/5 4/6 4/7 ...
5/1 5/2 5/3 5/4 5/5 5/6 5/7 ...
6/1 6/2 6/3 6/4 6/5 6/6 6/7 ...
And so on ...
All we have to do now is start with zero and alternate negative and positive, starting in the upper-left corner and listing each diagonal.
The sequence goes:
0, 1, -1, 2, -2, 1/2, -1/2, 3, -3, 1, -1, 1/3, -1/3, ...
Notice there are some repeats because 1 = 2/2.
An easy fix to this problem is to omit the reducable fractions.
Voila! We have counted the rationals!
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∙ 12y ago
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Is there an easy way to arrange fractions in ascending order?
Not until you've put them all over a common denominator. From there on, it's a piece o' cake.
Put in order smallest first 6.6 2.9 3.4 5.8 3.1?
When the smallest value is then followed by higher values in order this is called "ascending order". In ascending order the values are : 2.9, 3.1, 3.4, 5.8, 6.6
Put these in ascending order 4.165 4165.0 41.65 0.4165 416.5?
0.41654.16541.65416.54165.0
Can Data can only be sorted in ascending order.?
No, it can be sorted either in ascending or descending order.
How do you put fractions in descending order?
Express all of them with a common denominator, then order them according to their numerators.
How do you put fractions from least to greatest?
Convert them to common denominators and put the numerators in ascending order.
Fractions from lowest to highest?
Yes, fractions can be ordered from lowest to highest. It's called "ascending order."
What do you call listing fractions from least to greatest or greatest to least?
Listing the fractions is ascending (or descending) order.
How do you order four fractions?
Find the lowest common denominator, convert them, and arrange them in ascending order.
Is there an easy way to arrange fractions in ascending order?
Not until you've put them all over a common denominator. From there on, it's a piece o' cake.
What does ascending order mean when using fractions?
"Ascending order" means each one is bigger or higher than the one before it. It doesn't matter whether they're fractions, whole numbers, mixed numbers, temperatures, costs, weights, volumes, decimals, etc.
How do you put fractions and decimals in order from least to greaest?
either turn all ur numbers to fractions or decimals, then put it in order
What form do you put a number in after you find its prime factorization?
ascending order
Order 12 13 38 and 34 in ascending order?
That number sequence is already in ascending order as integers. 1/3, 3/8, 1/2, 3/4 as fractions 8/24, 9/24, 12/24, 18/24
How do you order fractions and whole numbers?
Put fractions in decimal form. That way it is much easier to compare and order them.
How do you order fractions?
put it in order from decimals as in first make the fraction in decimals and put them in order you desire :)
How can you put 11 over 16 1 over 2 3 over 4 and 7 over 8 in order?
Least to greatest.1/2, 11/16, 3/4, 7/8
