Using a number line, what whole number and rational number to the nearest half is 58−−√ between?
1. Between 8 and 8.5
2. between 7.5 and 8
3. between 7 and 7.5
4. between 8.5 and 9
To determine which whole number and rational number to the nearest half is √58 between, we need to find the two consecutive whole numbers between which √58 lies.
First, find the largest whole number whose square is less than 58:
7^2 = 49
Next, find the smallest whole number whose square is greater than 58:
8^2 = 64
Since 7^2 = 49 is less than 58 and 8^2 = 64 is greater than 58, we can conclude that √58 is between 7 and 8.
Now, let's find the midpoint between 7 and 8 to determine the rational number to the nearest half:
(7 + 8) / 2 = 15 / 2 = 7.5
Therefore, √58 is between the whole number 7 and the rational number 7.5.
The correct answer is 2. between 7.5 and 8.
To determine which whole number and rational number to the nearest half is √58, we need to look at the numbers between which it falls on a number line.
√58 is between 7 and 8 because 7^2 = 49 and 8^2 = 64. So √58 is greater than 7 and less than 8.
Option 3, between 7 and 7.5, is the correct answer.