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The difference between the smallest and the greatest four digit number formed by the given digits, using each digit only once is _________.
9 7 8 5
- a)4,098
- b)4,198
- c)4,886
- d)4,086
Correct answer is option 'D'. Can you explain this answer?
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The difference between the smallest and the greatest four digit numbe...
The given digits are 9, 7, 8, and 5. We need to find the difference between the smallest and the greatest four-digit number formed using these digits, with each digit used only once.
To form the greatest four-digit number, we arrange the digits in descending order. The largest digit is 9, so it should be placed in the thousands place. The next largest digit is 8, so it should be placed in the hundreds place. The next largest digit is 7, so it should be placed in the tens place. Finally, the smallest digit is 5, so it should be placed in the ones place. Therefore, the greatest four-digit number that can be formed is 9,875.
To form the smallest four-digit number, we arrange the digits in ascending order. The smallest digit is 5, so it should be placed in the thousands place. The next smallest digit is 7, so it should be placed in the hundreds place. The next smallest digit is 8, so it should be placed in the tens place. Finally, the largest digit is 9, so it should be placed in the ones place. Therefore, the smallest four-digit number that can be formed is 5,789.
The difference between the greatest and the smallest four-digit numbers is obtained by subtracting the smaller number from the larger number:
9,875 - 5,789 = 4,086
Therefore, the difference between the smallest and the greatest four-digit number formed using the given digits is 4,086.
Hence, the correct answer is option D) 4,086.
To form the greatest four-digit number, we arrange the digits in descending order. The largest digit is 9, so it should be placed in the thousands place. The next largest digit is 8, so it should be placed in the hundreds place. The next largest digit is 7, so it should be placed in the tens place. Finally, the smallest digit is 5, so it should be placed in the ones place. Therefore, the greatest four-digit number that can be formed is 9,875.
To form the smallest four-digit number, we arrange the digits in ascending order. The smallest digit is 5, so it should be placed in the thousands place. The next smallest digit is 7, so it should be placed in the hundreds place. The next smallest digit is 8, so it should be placed in the tens place. Finally, the largest digit is 9, so it should be placed in the ones place. Therefore, the smallest four-digit number that can be formed is 5,789.
The difference between the greatest and the smallest four-digit numbers is obtained by subtracting the smaller number from the larger number:
9,875 - 5,789 = 4,086
Therefore, the difference between the smallest and the greatest four-digit number formed using the given digits is 4,086.
Hence, the correct answer is option D) 4,086.
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Community Answer
The difference between the smallest and the greatest four digit numbe...
Greatest number of
four digits that can be formed is 9,875.
Smallest number of four digits that can be formed is 5,789.
Difference = 9,875 – 5,789 = 4,086
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The difference between the smallest and the greatest four digit number formed by the given digits, using each digit only once is _________.9 7 8 5a)4,098b)4,198c)4,886d)4,086Correct answer is option 'D'. Can you explain this answer?
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