Using a number like what whole number and rational number to the nearest half is √ 58 between?
√58 is approximately equal to 7.6.
The whole number that is closest to √58 is 8.
The rational number (in the form of a fraction) that is closest to √58 is 7.5, which can be written as 15/2.
To determine the whole number and rational number to the nearest half that √58 is between, we can calculate the square roots of both the numbers one step below and one step above √58.
1. Calculate the square root of the number before 58:
√(58 - 1) = √57 ≈ 7.55
2. Calculate the square root of the number after 58:
√(58 + 1) = √59 ≈ 7.68
Therefore, the number √58 is between 7.5 and 7.7.
Since we are looking for the nearest half, we need to round √58 either down to the nearest half (7.5) or up to the nearest half (7.7).