Final answer:
The correct order from least to greatest for the set of numbers is 5.1, 5.1062, 5.406, and 5.46. To determine this, each number is compared from left to right, considering each decimal place to identify the smallest units.
Step-by-step explanation:
The student has asked to order the numbers from least to greatest. To do this, we look at each digit from left to right. Starting with the first decimal place, we can see that all numbers have 5 as the whole number, so we look at the next place to the right. The numbers 5.1 and 5.1062 both begin with 1 in the tenths place, making them the smallest two numbers. Then, because 5.1 has fewer significant digits after the decimal point, it is the smaller number. Next, we have 5.406 with 4 in the tenths place, followed by 5.46 with 4 in the tenths place as well, but because the second one has 6 in the hundredths place versus 0 in the same place for the first, 5.406 is smaller than 5.46. So, the correct order from least to greatest is Option C: 5.1, 5.1062, 5.406, 5.46.