Using a number line, what whole number and rational number to the nearest half is 10−−√ between?
10−−√ is between _____ and _____.
To determine the whole number and rational number to the nearest half that 10−−√ is between, we can approximate the value of 10−−√.
Calculating the square root of 10 gives approximately 3.16.
Since 10 is between 3^2 (9) and 4^2 (16), we know that 10−−√ is between the square roots of 9 and 16, which are 3 and 4.
To find the number halfway between 3 and 4, we add them and divide by 2: (3 + 4)/2 = 7/2 = 3.5.
Therefore, 10−−√ is between the whole number 3 and the rational number 3.5.