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What is 1/17 using 30 total digits?

On many of the calculators it only shows up to 17.

 Nov 2, 2014

Best Answer 

 #1
avatar+23254 
+5

When you divide by a number, the greatest number of digits that it can have is 1 fewer than the number that you are dividing by.

For instance,  4/7  =  .571428 571428 571428 ...  (I added the spaces so that the number is easier to read.)

Notice that when dividing by 7, a block of 6 digits repeats. 

(Some fractions don't repeat, like 1/2 = 0.5, and other fractions, like 2/3 = 0.6666 repeat a bock shorter than the number that was used for division -- only one digit repeats, but the number ws divided by 3.)

So  1/17  can have a block of, at most, 16 digits repeating.

1/17  = .05 88 23 52 94 11 76 47 05 88 23 ...  (I used the calculator on this site to get these digits.)

It's up to you to keep the pattern going for 30 places.

 Nov 2, 2014
 #1
avatar+23254 
+5
Best Answer

When you divide by a number, the greatest number of digits that it can have is 1 fewer than the number that you are dividing by.

For instance,  4/7  =  .571428 571428 571428 ...  (I added the spaces so that the number is easier to read.)

Notice that when dividing by 7, a block of 6 digits repeats. 

(Some fractions don't repeat, like 1/2 = 0.5, and other fractions, like 2/3 = 0.6666 repeat a bock shorter than the number that was used for division -- only one digit repeats, but the number ws divided by 3.)

So  1/17  can have a block of, at most, 16 digits repeating.

1/17  = .05 88 23 52 94 11 76 47 05 88 23 ...  (I used the calculator on this site to get these digits.)

It's up to you to keep the pattern going for 30 places.

geno3141 Nov 2, 2014

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