Question

In writing all of the integers from 1 to 300, how many times is the digit "1" used?

Answer 1

Answer:

Thus, in writing all integers from 1 to 300, Digit 1 is getting used 160 times!

Answer 2

In writing all of the integers from 1 to 300, the digit "1" is used 160 times.

Given,

All the integers from 1 to 300

To find,

The number of times the digit "1" is used in writing all the integers from 1 to 300.

Solution,

Count the number of times "1" appears in the unit's place. It appears once in each set of ten (1-10, 11-20, 21-30,......., 281-290, 291-300). So the total count is

1 x 30 = 30

Count the number of times "1" appears in the tens place. This digit appears in the tens place 10 times in three sets of ten (i.e., 10-19, 110-119, 210-219). So the total count is

10 x 3 = 30

Count the number of times "1" appears in the hundreds place. In the hundreds place, "1" appears 100 times (in the set 100-199).

So the count is 100.

Adding the values to find the total count

30 +30 +100 = 160

Hence the total number of times the digit "1" is used in writing all the integers from 1 to 300 is 160.

#SPJ3