Using a number line, what whole number and rational number to the nearest half is 40−−√

between?

explain how 6 and 6.5 is the correct answer

1 answer

To determine the locations on the number line where 40−−√ is between two numbers, we can start by finding the whole number and rational number (numbers that can be expressed as a fraction) that are closest to 40−−√.

The whole numbers closest to 40−−√ are 6 and 7. However, we are looking for the nearest half, so we need to consider fractions as well.

To find the rational number closest to 40−−√, we can express it as a decimal. Calculating √40, we find that it is approximately 6.3245.

The nearest half to 6.3245 is 6.5.

Therefore, 40−−√ is between 6 and 6.5 on the number line.