Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?
A. between 11 and 11.5
B. between 10.5 and 11
C. between 9.5 and 10
D. between 10 and 10.5
To find whole number and rational numbers to the nearest half between a range, we can look at the decimal form of the number and determine which two numbers it falls between.
To find the decimal form of √105, we can use a calculator or estimation.
Using a calculator, √105 is approximately 10.24695077.
Since √105 is greater than 10 but less than 10.5, the whole number and rational number to the nearest half that √105 is between is:
D. between 10 and 10.5