Home
Class 12
MATHS
No. of digits while counting from 1 to 1...

No. of digits while counting from 1 to 10,000 is N, then digits at unit place of N is

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of digits while counting from 1 to 10,000, we will break it down into segments based on the number of digits in each range. ### Step-by-Step Solution: 1. **Count digits from 1 to 9:** - There are 9 numbers (1 to 9), and each has 1 digit. - Total digits = \(9 \times 1 = 9\) 2. **Count digits from 10 to 99:** - There are \(99 - 10 + 1 = 90\) numbers (10 to 99), and each has 2 digits. - Total digits = \(90 \times 2 = 180\) 3. **Count digits from 100 to 999:** - There are \(999 - 100 + 1 = 900\) numbers (100 to 999), and each has 3 digits. - Total digits = \(900 \times 3 = 2700\) 4. **Count digits from 1000 to 9999:** - There are \(9999 - 1000 + 1 = 9000\) numbers (1000 to 9999), and each has 4 digits. - Total digits = \(9000 \times 4 = 36000\) 5. **Count digits for the number 10,000:** - The number 10,000 has 5 digits. - Total digits = \(5\) 6. **Add all the digits together:** - Total digits \(N = 9 + 180 + 2700 + 36000 + 5\) - \(N = 38894\) 7. **Find the unit place of N:** - The unit place of \(N = 38894\) is \(4\). ### Final Answer: The digit at the unit place of \(N\) is \(4\). ---

To find the number of digits while counting from 1 to 10,000, we will break it down into segments based on the number of digits in each range. ### Step-by-Step Solution: 1. **Count digits from 1 to 9:** - There are 9 numbers (1 to 9), and each has 1 digit. - Total digits = \(9 \times 1 = 9\) ...
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 3

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos
  • MOCK TEST 2

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION - 2)|10 Videos
  • MOCK TEST 4

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

The digit in the unit's place of (153)^(98) is

What is the digit in the unit's place of (143)^(86)" ? "

What is the digit in the unit's place of (1008)^(786) ?

What is the digit in the unit's place of (2419)^(111213) ?

What is the digit in unit's place of (1354)^(22222)" ? "

The sum of digits of a two digit number is 11. If the digit of ten's place is increased by 5 and the digit at unit's place is decreased by 5 the digit of the number are found to be reversed. Find the origional number.

Let N be the number of 4- digit numbers which contain not more than 2 different digits. The sum of the digits of N is :

What is the digit in the unit's place of (5172)^(11327)" ? "

The digit in the unit's place of (141414)^(12121) is

The number of n digit numbers which consists of the digit 1 and 2 only if each digit is to be used atleast once is equal to 510, then n is equal to ________.