We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
103
4
avatar

How many 0's are there in the numbers 1-2001?

 

Thank you!

 Oct 20, 2019
 #1
avatar
+1

There are 494 zeros between 1 and  2001.

 Oct 20, 2019
 #2
avatar+105664 
+1

From 1 to 9        none

From 10 to 99  there are  9

Now I will look at numbers from 100 to 999 =

  zero in the middle but not at end = 9*1*9 = 81

  zero at the end but not in middle = 9*9*1 = 81

  zero in middle and at end = 9*1*1=9 numbers  that is 18 zeros

Total for 2 digit numbers = 9+81+81+18 = 189

 

Now look at numbers 1000 to 1999

  2 zeros = 1*9*3C2 = 9*3 = 27numbers = 54 zeros

   3 zeros = 1number = 3 zeros

  1 zero = 1*9*9 = 81 zeros   Edit:  I forgot to times this by 3      243

2000 has 3 zeros

Total for 3 digit numbers is   54+3+243+3 = 303


Grand total appears to be   189+303 = 492     (I did not include 2001)

 

Thanks Guest :)

 Oct 20, 2019
edited by Melody  Oct 20, 2019
 #3
avatar
+1

From 1 to 9 =None
From 10 to 99 = 9
From 100 to 199 =20
From 200 to 999 =160
From 1000 to 1999 =300
From 2000 to 2001(inclusive) =5
Grand Total = 9 + 20 + 160 + 300 + 5 =494 zeros

P.S. If you don't want 2001 included, then:494 - 2 =492 zeros.

 Oct 20, 2019
edited by Guest  Oct 20, 2019
 #4
avatar+105664 
+1

The only part where our answers differ ( i think) is that 

from 1000 to 1999   

     you got 300

        I got   141

 

 

I will check what i did

    3 zero numbers is just 1000 so that is 3 zeros

     2 zero numbers  the none zero can be in the 2nd 3rd or 4th place that is 3 permutations

      so there will be    100*    = 1*1*1*9  *3   =  27numbers   =  54 zeros

    1 zero numbers  

           1**0   the zero can be in 3 places so

           there will be 1*9*9*1*3 = 243 numbers totalling 243 zeros

 

so that is    3+54+243 = 300

 

Just like guest  said - so now we are in agreement   laugh

Melody  Oct 20, 2019

9 Online Users

avatar