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In Writing All of the Integers From 1 to 199, How Many Times is ‘1’ Used?
By BYJU'S Exam Prep
Updated on: September 25th, 2023
In writing all of the integers from 1 to 199, the total number of times ‘1’ is used is 140 times
Step 1: Firstly we have to count the number of times one occurs from 1 to 199
1, 21, 31, 41, 51, 61, 71, 81, 91 – 9 times in unit digit
10, 12, 13, 14, 15, 16, 17, 18, 19 – 9 times in ten’s digit
11 – 2 times i.e. at unit and ten’s digit
On simplifying we get
9 + 9 + 2 = 20 times
Step 2: Now again count the number of times one occurs from 100 to 199
111 will be counted for unit digit, ten’s digit and hundred’s digit so it will be come 3 times
101, 121, 131, 141, 151, 161, 171, 181, 191 – 9 times at unit digit
110, 112, 113, 114, 115, 116, 117, 118, 119 – 9 times at ten’s digit
100, 102, 103, 104 ….. 198, 199 – 81 times at hundred’s digit
On simplifying we get
81 x 1 + 9 x 2 + 9 x 2 + 3 = 120 times
Step 3: Number of times one occurs from 100 to 199
120 + 20 = 140
Therefore, in all integers from 1 to 199, the total number of times ‘1’ is used is 140 times
Summary:-
In Writing All of the Integers From 1 to 199, How Many Times is ‘1’ Used?
There are 140 occurrences of 1 used in the writing of all integers from 1 to 199. A number is an arithmetic value used for representing the quantity and used in making calculations.
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