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# 3-digit numbers

0
45
8

How many 3-digit numbers are divisible by 11?

May 3, 2020

#1
+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

May 3, 2020
#3
+656
+2

LuckyDucky  May 3, 2020
#4
+299
+2

Agreed! A very efficient way.

CentsLord  May 3, 2020
#2
+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.

May 3, 2020
#5
+299
+2

Cool! A perfect explanation for souls hoping to learn!

CentsLord  May 3, 2020
#6
+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
+111360
+1

THX, guys....

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

CPhill  May 3, 2020
#8
+656
+2

Haha I know right! LOL!!!

LuckyDucky  May 3, 2020