Final answer:
To determine the least number among 0.103, 0.1041, 0.1005, and 0.11, we compare digits sequentially from left to right. After comparing digits in the same place value, 0.1005 is identified as the least number.
Step-by-step explanation:
The question asks which of the following numbers is least: 0.103, 0.1041, 0.1005, or 0.11. When comparing decimal numbers, we start at the left and compare digits in the same place value. All the given numbers have 0 before the decimal point, so we compare the digits after the decimal point.
The first digit after the decimal in each number is 1, so we move to the next digit. The second digit in 0.11 is 1, which is larger than the 0 in the second digit place in the other three numbers, so 0.11 is eliminated. Next, we compare the third digit, where 0.103 and 0.1005 have a 0, but 0.1041 has a 4; thus, 0.1041 is larger than 0.103 and 0.1005.
Finally, we compare the fourth digit, which 0.1005 has a 5, and 0.103 has a 3. Since 3 is less than 5, 0.103 is larger than 0.1005. Therefore, 0.1005 is the least number among the options provided.