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Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero?
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Housing borad built 200 flats. A painter is engagaed to serially numbe...
Introduction:
In this problem, we need to determine the number of times a painter will be required to write zero while serially numbering 200 flats from 1 to 200.
Solution:
To solve this problem, let's break it down into smaller steps:
Step 1: Identifying the flats where zero will be written
To determine the number of times the painter will write zero, we need to identify the flats where zero will be written. Zero will be written in the following cases:
1. Flats numbered with a single digit: The flats numbered from 1 to 9 will require the painter to write zero as a prefix to make it a two-digit number.
2. Flats numbered with zero at the end: The flats numbered as multiples of 10 (e.g., 10, 20, 30, etc.) will require the painter to write zero as the last digit.
3. Flats numbered as multiples of 100: The flats numbered as multiples of 100 (e.g., 100, 200) will require the painter to write two zeros at the end.
Step 2: Calculating the number of flats falling into each category
Now, we need to calculate the number of flats falling into each of the above categories:
1. Flats numbered with a single digit: There are 9 flats numbered with a single digit (1 to 9).
2. Flats numbered with zero at the end: There are 20 flats numbered as multiples of 10 (10, 20, 30, ..., 200). Therefore, there are 20 flats falling into this category.
3. Flats numbered as multiples of 100: There are 2 flats numbered as multiples of 100 (100, 200).
Step 3: Calculating the total number of times zero will be written
Now, let's calculate the total number of times zero will be written:
1. Flats numbered with a single digit: Each of the 9 flats will require one zero as a prefix. Therefore, the total number of zeros written in this category is 9.
2. Flats numbered with zero at the end: Each of the 20 flats will require one zero as the last digit. Therefore, the total number of zeros written in this category is 20.
3. Flats numbered as multiples of 100: Each of the 2 flats will require two zeros at the end. Therefore, the total number of zeros written in this category is 4.
Step 4: Calculating the final answer
Finally, let's add up the number of zeros written in each category to find the total number of times the painter will write zero:
Total number of zeros written = Zeros written in flats with a single digit + Zeros written in flats with zero at the end + Zeros written in flats as multiples of 100
= 9 + 20 + 4
= 33
Therefore, the painter will be required to write zero a total of 33 times while serially numbering 200 flats from 1 to 200.
Conclusion:
In this problem, we determined that the painter will be required to write zero a total of 33 times while serially numbering 200 flats from 1 to 200. This includes writing zero as a
In this problem, we need to determine the number of times a painter will be required to write zero while serially numbering 200 flats from 1 to 200.
Solution:
To solve this problem, let's break it down into smaller steps:
Step 1: Identifying the flats where zero will be written
To determine the number of times the painter will write zero, we need to identify the flats where zero will be written. Zero will be written in the following cases:
1. Flats numbered with a single digit: The flats numbered from 1 to 9 will require the painter to write zero as a prefix to make it a two-digit number.
2. Flats numbered with zero at the end: The flats numbered as multiples of 10 (e.g., 10, 20, 30, etc.) will require the painter to write zero as the last digit.
3. Flats numbered as multiples of 100: The flats numbered as multiples of 100 (e.g., 100, 200) will require the painter to write two zeros at the end.
Step 2: Calculating the number of flats falling into each category
Now, we need to calculate the number of flats falling into each of the above categories:
1. Flats numbered with a single digit: There are 9 flats numbered with a single digit (1 to 9).
2. Flats numbered with zero at the end: There are 20 flats numbered as multiples of 10 (10, 20, 30, ..., 200). Therefore, there are 20 flats falling into this category.
3. Flats numbered as multiples of 100: There are 2 flats numbered as multiples of 100 (100, 200).
Step 3: Calculating the total number of times zero will be written
Now, let's calculate the total number of times zero will be written:
1. Flats numbered with a single digit: Each of the 9 flats will require one zero as a prefix. Therefore, the total number of zeros written in this category is 9.
2. Flats numbered with zero at the end: Each of the 20 flats will require one zero as the last digit. Therefore, the total number of zeros written in this category is 20.
3. Flats numbered as multiples of 100: Each of the 2 flats will require two zeros at the end. Therefore, the total number of zeros written in this category is 4.
Step 4: Calculating the final answer
Finally, let's add up the number of zeros written in each category to find the total number of times the painter will write zero:
Total number of zeros written = Zeros written in flats with a single digit + Zeros written in flats with zero at the end + Zeros written in flats as multiples of 100
= 9 + 20 + 4
= 33
Therefore, the painter will be required to write zero a total of 33 times while serially numbering 200 flats from 1 to 200.
Conclusion:
In this problem, we determined that the painter will be required to write zero a total of 33 times while serially numbering 200 flats from 1 to 200. This includes writing zero as a
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Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero?
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Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero?.
Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Housing borad built 200 flats. A painter is engagaed to serially number each flat individually from 1 to 200. How many times will he be required to write zero?.
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