+0  
 
0
45
8
avatar

How many 3-digit numbers are divisible by 11?

 May 3, 2020
 #1
avatar+111360 
+2

The first one divisible by 11 is  110

And the last one divisible  by 11  is 990

 

So....the total number  =

 

[ 990 - 110] / 11   +  1  =

 

80  +  1   =

 

81

 

 

cool cool cool

 May 3, 2020
 #3
avatar+656 
+2

Wow your answer was very short and efficient nice work!

 

coolsmileycool

LuckyDucky  May 3, 2020
 #4
avatar+299 
+2

Agreed! A very efficient way.

CentsLord  May 3, 2020
 #2
avatar+656 
+3

81

 

Solution:

Step 1 : Find the smallest and largest 3 digit numbers

The smallest 3-digit number = 100

The largest 3 digit number = 999

 

Step 2 : 

Let us find number of numbers divisible by 11 from 1 to 999

999/11 = 90.82

Therefore number of numbers divisible by 11 from 1 to 999 = 90

 

Step 3 :

Let us find number of numbers divisible by 11 from 1 to 99

99/11 = 9

Therefore number of numbers divisible by 11 from 1 to 99 = 9

 

Step 4:

Number of numbers divisible by 11 (1 to 999) = 90

Number of numbers divisible by 11 (1 to 99) = 9

Number of numbers divisible by 11 (100 to 999)

                                            = 90 - 9

                                            = 81    

Therefore, the number of three-digit numbers (100 to 999) which are divisible by 11 is 81.

 

coolsmileycool

 May 3, 2020
 #5
avatar+299 
+2

Cool! A perfect explanation for souls hoping to learn!

CentsLord  May 3, 2020
 #6
avatar+656 
+2

Thanks! in this solution I tried to put as many steps as possible so the guest can learn how to do it!

LuckyDucky  May 3, 2020
 #7
avatar+111360 
+1

THX, guys....

 

At least LuckyDucky and I got the same answer   >>>>LOL!!!!!

 

cool cool cool

CPhill  May 3, 2020
 #8
avatar+656 
+2

Haha I know right! LOL!!!

LuckyDucky  May 3, 2020

24 Online Users

avatar