a new colony was built and the builder gave contract to a sign maker to number the buildings from number 1 to 500. how many zeroes will he need.

Question

solve plz

Answer 1

There are a total of 91 zeroes.

 

10 to 90, 110-190, 210-290, 310-390, 410-490... 9 each = 45

 

100, 200, 300, 400, 500 = 10

 

101-109, 201-209, 301-309, 401-409 = 9 each = 36

 

45+ 10 + 36 = 91 total zeroes for 1-500

Answer 2

91 zeros

 

Use Excel

 

Type in column  A1 1

Type in column A2 2

 

Highlight A1 and A2 and drag to row 500

 

Numbers 1-500 will be listed in column A

 

In B1  type:     =LEN(A1)-LEN(SUBSTITUTE(A1,0,""))

 

Drag this formula down to the 500th row

 

Sum up column B in B501

 

It will show 91

Answer 3

The zeros are the digits in the numbers from 1 to 500.

 

For numbers 01 - 10:

 

10 zeros

 

 

For numbers 11 - 100:

 

10 zeros

 

 

For numbers 101 - 200:

 

10 zeros in   101 - 110

10 zeros in   112 - 200

 

This is a total of 20 zeros for this set of 100.

 

 

For numbers 201 - 500:

 

20 x 3 = 60 zeros

 

 

Add up these zeros to get a final total of 100 zeros.