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What is the units digit of the least whole number greater than 1000 whose digits are all different?

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Q: What is the units digit of the least whole number greater than 1000 whose digits are all different?

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9218 9425

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A positive number is greater than a negative number. If a positive number is greater than another, the corresponding negative numbers are smaller. For example, since 4 > 3, -4 < -3. For two positive numbers: The number with more digits is greater. If they have the same number of digits, the number with the greater first digit is greater. If they are equal, look at the second digit, which will decide which number is greater, and so forth, up to the last digit. For example, 12500 is greater than 12480: they have the same number of digits, the first two digits are the same, but the third digit is the tie-breaker. For numbers with decimals, first apply the rules above for the whole part. If they are equal, check the first digit after the decimal point, then the second, etc., until you find a "tie-breaker". For example, 0.2522 is more than 0.2517. Once again, the first two digits are the same, the third is the tiebreaker.

Just compare the digits one by one: compare the first digit after the decimal point with the first digit of the other number, the second digit with the second digit, etc., until you find a digit that is different.

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Not necessarily. Consider 444. The digits are not different. The first and second digits are not multiples of 3 The first digit is not greater than the second digit. In spite of all that, 444 is a 3-digit number

Any 5-digit number is greater than a 4-digit one.

6789

6789

102 is the smallest three digit number with different digits.

smallest 8 digit number with three different digits

Truncation is an operation whereby a long decimal representation of a number is stopped after a given number of digits, taking no account of the digit which follows. This is different from rounding where the final digit retained may be increased by 1 if the following digits make a number which is greater than half a unit.

yes

9,999,876 is the greatest seven-digit number using four different digits.

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For now, I'll assume for simplicity that the numbers are positive. The number with the greatest amount of integer digits (before the decimal point, if any) is larger. If both numbers have the same number of integer digits, compare each digit in turn until you find one digit that is different. The number with the largest digit in this place is larger. Examples: 1234 is greater than 430, because it has more digits. 125 is greater than 117, because in the first digit they differ (second position from left), it has the greater digit. 0.007 is greater than 0.0009, because in the third digit to the right of the decimal point (the first digit where they differ), it has the greater digit (7 is greater than 0).

Since there are only five different digits, a 6-digit number can only be generated if a digit can be repeated. If digits can be repeated, the smallest 6-digit number is 111111.