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This depends on what you mean by smallest. The smallest four-digit whole number is 1,000; the smallest four-digit real number is .0001 (1/10,000); the smallest four-digit integer is -9,999.
The smallest 2 digit whole number is 10 The smallest 2 digit odd whole number is 11
No. 1000 has 4 digits and is the smallest 4-digit number. The smallest 3-digit number is 100.
1001 is the smallest 4 digit palindromic number.
01234 is, technically a 4-digit number. Also, 10234 is not the smallest 5 digit number. The smallest 5 digit [positive] number is 10000.