using a number line, what whole number and rational number to the nearest half is /58 between?

Question

between 8.5 and 9
between 8 and 8.5
between 7.5 and 8
between 7 and 7.5

Answer 1

To determine where the number $\frac{58}{10}$ (or 5.8) lies on a number line, we first simplify the fraction:

$$\frac{58}{10}=5.8$$

Next, let's identify the range of whole numbers between which $5.8$ falls. The whole numbers surrounding $5.8$ are $5$ and $6$.

Now, we'll find out which of the provided intervals includes $5.8$ when considering rational numbers to the nearest half:

1. Between 8.5 and 9: This range does not include $5.8$.
2. Between 8 and 8.5: This range does not include $5.8$.
3. Between 7.5 and 8: This range does not include $5.8$.
4. Between 7 and 7.5: This range does not include $5.8$.

Since none of the options presented are correct, it might be necessary to confirm or clarify the original question about the number $\frac{58}{10}$ (5.8). It correctly lies between the whole numbers $5$ and $6$.

However, if we consider this with the intervals given, the correct answer for the rational number closest to $5.8$ to the nearest half would actually be between $5.5$ and $6$, which is not one of the provided options.

For clarity:

• $5.8$ lies between $5$ and $6$.
• The option closest to them should include $5.5$ to $6$, which is missing. Please check the original question.