To determine which interval the number 58 falls between on a number line in relation to whole numbers and rational numbers to the nearest half, we first need to identify whole numbers and their half divisions around 58.
The whole number immediately below 58 is 58, and the one above is 59.
Now, to express 58 as a rational number to the nearest half:
- The nearest half to 58 is 58.0, which can also be thought of in terms of divisions:
- 57.5, 58.0, and 58.5 are the key points.
Since the question appears to ask for comparisons in lower ranges (7 to 9), we can focus on the specific choices given:
- between 8.5 and 9
- between 8 and 8.5
- between 7.5 and 8
- between 7 and 7.5
None of these intervals contain the number 58, which is far greater than 9.
To explicitly correct this, if we were just asked to find the closest intervals to the number 58:
- The actual intervals using whole numbers and rational representations would be:
- Between 58 and 59 (for whole numbers)
- Between 57.5 and 58.5 (for rational numbers to the nearest half).
Thus, based on the provided options, the question might be misleading or ask for numbers in a different context, since 58 does not fit within any of them.