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Using the digits 0, 1, 2, 3 make the least tour digit number and represent the number with the help of a Roman Numeral. Digit should not be repeated.
- a)MXXIII
- b)MCXII
- c)CMXXIII
- d)MMMCCX
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Using the digits 0, 1, 2, 3 make the least tour digit number and repre...
Explanation:
To find the least four-digit number using the digits 0, 1, 2, and 3, we need to arrange these digits in ascending order. The least digit is 0, so it should be placed first.
Step-by-step solution:
1. The first digit of the four-digit number should be the least digit, which is 0.
2. The remaining three digits can be arranged in ascending order, which gives us 1, 2, and 3.
3. Placing 1 as the second digit, 2 as the third digit, and 3 as the fourth digit, we get the number 0123.
4. However, this number is not a valid four-digit number because it starts with 0. In Roman numerals, 0 is not represented.
5. To convert the number 0123 into a Roman numeral, we need to use the Roman numeral system.
6. The largest possible digit in the Roman numeral system is M, which represents 1000.
7. The next largest digit is C, which represents 100.
8. The next largest digit is X, which represents 10.
9. The next largest digit is I, which represents 1.
10. To convert 0123 into a Roman numeral, we break it down into its place values: 1000 (M), 100 (C), 10 (X), and 1 (I).
11. Combining these digits, we get the Roman numeral MXXIII.
12. Therefore, the least four-digit number using the digits 0, 1, 2, and 3 is represented by the Roman numeral MXXIII.
To find the least four-digit number using the digits 0, 1, 2, and 3, we need to arrange these digits in ascending order. The least digit is 0, so it should be placed first.
Step-by-step solution:
1. The first digit of the four-digit number should be the least digit, which is 0.
2. The remaining three digits can be arranged in ascending order, which gives us 1, 2, and 3.
3. Placing 1 as the second digit, 2 as the third digit, and 3 as the fourth digit, we get the number 0123.
4. However, this number is not a valid four-digit number because it starts with 0. In Roman numerals, 0 is not represented.
5. To convert the number 0123 into a Roman numeral, we need to use the Roman numeral system.
6. The largest possible digit in the Roman numeral system is M, which represents 1000.
7. The next largest digit is C, which represents 100.
8. The next largest digit is X, which represents 10.
9. The next largest digit is I, which represents 1.
10. To convert 0123 into a Roman numeral, we break it down into its place values: 1000 (M), 100 (C), 10 (X), and 1 (I).
11. Combining these digits, we get the Roman numeral MXXIII.
12. Therefore, the least four-digit number using the digits 0, 1, 2, and 3 is represented by the Roman numeral MXXIII.
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Community Answer
Using the digits 0, 1, 2, 3 make the least tour digit number and repre...
The correct answer is option 'a' because the least number formed is 1023
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Using the digits 0, 1, 2, 3 make the least tour digit number and represent the number with the help of a Roman Numeral. Digit should not be repeated.a)MXXIIIb)MCXIIc)CMXXIIId)MMMCCXCorrect answer is option 'A'. Can you explain this answer?
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