How many digits are required to number a book containing 400 pages?
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Step-by-step explanation:
NUMBER OF DIGITS REQUIRED = (NUMBERS OF "ONE DIGIT NUMBERS") + 2*(NUMBERS OF "TWO DIGIT NUMBERS") .... AND SO ON
NUMBER ONE DIGIT NUMBERS = 9 ( FROM 1 TO 9)
NUMBER OF TWO DIGIT NUMBERS = 90 (FROM 10 TO 99 )
NUMBER OF THREE DIGIT NUMBERS = 301 (FROM 100 TO 400)
NUMBERS OF DIGITS REQUIRED = 9 + 2*90 + 3*301 = 9 + 180 + 903 = 1092
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