Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 7 and 7.5
between 7 and 7.5
between 7.5 and 8
between 7.5 and 8
between 8 and 8.5
between 8 and 8.5
between 8.5 and 9
between 8.5 and 9
To determine which whole number and rational number to the nearest half 58 - √2 is between, let's consider the given options:
1. Between 7 and 7.5
2. Between 7.5 and 8
3. Between 8 and 8.5
4. Between 8.5 and 9
To find the answer, we need to verify whether 58 - √2 is greater than the lower number and less than the higher number in each option.
1. 58 - √2 is approximately 57.6, which is greater than 7 but not less than 7.5. So, it is not between 7 and 7.5.
2. 58 - √2 is approximately 57.6, which is not greater than 7.5. So, it is not between 7.5 and 8.
3. 58 - √2 is approximately 57.6, which is not less than 8. So, it is not between 8 and 8.5.
4. 58 - √2 is approximately 57.6, which is less than 8.5 but not greater than 9. So, it is not between 8.5 and 9.
Therefore, the correct answer is that 58 - √2 is between 7 and 7.5.