SOLUTION: The positive integers, starting with 1, are written in order 123456789101112.... The digit appearing in the 100th place is
(A) 0 (B) 4 (C) 5 (D) 6 (E) 7
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: The positive integers, starting with 1, are written in order 123456789101112.... The digit appearing in the 100th place is
(A) 0 (B) 4 (C) 5 (D) 6 (E) 7
Log On
Question 206587: The positive integers, starting with 1, are written in order 123456789101112.... The digit appearing in the 100th place is
(A) 0 (B) 4 (C) 5 (D) 6 (E) 7 Answer by Targetweek(62) (Show Source):
You can put this solution on YOUR website! Well the first place is a 1
the 10th place is a 1
the 20th place is a 1
1234567891-0-1-1-1-2-1-3-1-4-1-5-1-6-1-7-1-8-1-9-2-0(numbers)
12345678910111213141516171819202122232425262728293031 (place)
cont
the 30th place is a 2
the 40th place is a 2
the 50th place is a 3
the 60th place is a 3
the 70th place is a 4
2-1-2-2-2-3-2-4-2-5-2-6-2-7-2-8-2-9-3-0-3-1-3-2-3-3-3-4-3-5-3-6-3-7-3-8-3-9-4-0
32333435363738394041424344454647484950515253545556575859606162636465666768697071
cont
the 80th place is a 4
the 90th place is a 5
the 100th place is a 5
4-1-4-2-4-3-4-4-4-5-4-6-4-7-4-8-4-9-5-0-5-1-5-2-5-3-5-4-5--5-5-6-5-7-5-8-5-9-6-0
72737475767778798081828384858687888990919293949596979899100
Because there are 20 digits from 20-30 eac tenth place is paired with another
because obviously 20/2 = 10
(