What will be the 23,478th digit of the number 1234567891011121314......?
answer is 6. explain in easy way.
The south shall rise again
To find the 23,478th digit of the number 1234567891011121314......, we need to follow a step-by-step process:
1. First, we need to determine the pattern in the number. We can observe that the number starts with the digits 1, 2, 3, 4, 5, 6, 7, 8, 9. Then, the number moves on to two-digit numbers, starting from 10 up to 99. This pattern continues with three-digit numbers from 100 to 999, and so on.
2. Next, we need to calculate how many digits are represented by each segment of the pattern. For instance, the initial segment with the digits 1-9 is made up of 9 single-digit numbers, resulting in 9 digits. The segment with two-digit numbers has 90 digits (10-99), and the segment with three-digit numbers has 900 digits (100-999).
3. Now, we can determine which segment contains the 23,478th digit. By adding up the number of digits in each segment of the pattern, we find that there are 9 + 90 + 900 + 9000 + ... digits leading up to the 23,478th digit.
4. To simplify this process, we can first find the segment where the 23,478th digit lies. We can do this by subtracting the total digits of the segments before the desired segment. In this case, we subtract 9 + 90 + 900 + 9000 to get 22,989.
5. We then subtract 22,989 from 23,478 to determine how many digits into the current segment the desired digit is. In this case, we have 23,478 - 22,989 = 489 digits into the current segment.
6. Since each segment represents a different number of digits, we need to calculate how many numbers we need to count to reach the desired digit in the current segment. We can calculate this by dividing the number of digits into the current segment by the number of digits each number represents.
For example, in the segment of two-digit numbers (10-99) with 90 digits, each number has 2 digits. By dividing 489 (the number of digits into the current segment) by 2 (the number of digits in each number), we find that we need to count 244 numbers.
7. Finally, we can determine the actual value of the desired digit. In the current segment, the numbers range from 100 to 999. Since we need to count 244 numbers, we can start counting from 100 until we reach the 244th number, which is 343. The 23,478th digit corresponds to the sixth digit of the number 343, which is 6.
Therefore, the 23,478th digit of the number 1234567891011121314...... is 6.
1-digit numbers: 9
2-digits: 90, so total digits used = 2*90+9 = 189
3-digits: 900, so total digits = 3*900+189 = 2889
4-digits: 9000, so total digits - 4*9000+2889 = 38,889
38889-23478 = 15411 = 3852*4 + 3
So, it will be the 3rd digit of the 3853rd 4-digit number.
999+38583 = 39582
Hmmm. I get 5, not 6.
Better check my logic and math.
0 0
Nice repost.
Too bad you didn't have anything to add ...
1-digit numbers: 9
2-digits: 90, so total digits used = 2*90+9 = 189
3-digits: 900, so total digits = 3*900+189 = 2889
4-digits: 9000, so total digits - 4*9000+2889 = 38,889
38889-23478 = 15411 = 3852*4 + 3
So, it will be the 3rd digit of the 3853rd 4-digit number.
999+38583 = 39582
Hmmm. I get 5, not 6.
Better check my logic and math.