Final answer:
The numbers ordered from least to greatest are 110, 115, 120, 130, 133, 144, and 71,000. Hence, Option B, which lists these numbers in ascending order, is the correct way to approximate their location on a number line.
Step-by-step explanation:
To approximate the location of the numbers 144, 71,000, 130, 110, 120, 115, 133 on a number line, we must order them from the smallest to the largest. This is what options A, B, C, and D are attempting to do. When comparing these numbers, it is clear that 110 is the smallest, followed by 115, 120, 130, 133, and finally 144 before making a significant jump to 71,000. Therefore, the numbers arranged in ascending order are:
110 - 115 - 120 - 130 - 133 - 144 - 71,000
This order matches Option B. Hence, Option B is the correct sequence to approximate the location of the numbers on a number line.