Using a number line, what whole number and rational number to the nearest half is sqrt(58) between? (1 point)
between 8 and 8.5
between 7 and 7.5
between 8.5 and 9
between 7.5 and 8
The square root of 58 is approximately 7.6. Since the values are to be rounded to the nearest half, the whole number and rational number closest to 7.6 are 8 and 7.5, respectively.
Therefore, sqrt(58) is between 8 and 7.5, which corresponds to the option "between 8 and 8.5".
To determine which whole number and rational number to the nearest half is sqrt(58) between, we can estimate its value.
First, let's find the whole number between which sqrt(58) lies. Taking the square root of 58 gives us a value slightly more than 7, since 7 squared is 49 and 8 squared is 64. So, sqrt(58) is between 7 and 8.
Next, let's find the rational number to the nearest half. Since sqrt(58) is slightly more than 7.5, it is between 7.5 and 8.
Therefore, sqrt(58) is between the whole number 7 and the rational number 7.5. Thus, the correct option is:
between 7 and 7.5.