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

Answer 1

To find the whole number and rational number closest to √40, we first need to find the approximate value of √40.

On a number line, we can mark the whole numbers and rational numbers to the nearest half around √40.

To do this, we start by finding the two perfect squares surrounding 40. The closest perfect squares are 36 (6^2) and 49 (7^2).

We know that the square root of 36 is 6, and the square root of 49 is 7.

Since 40 is closer to 49 than to 36, we can estimate that √40 is closer to 7 than to 6.

Thus, the whole number closest to √40 is 7.

Next, we determine the rational number closest to √40 to the nearest half.

Since √40 is closer to 7 than to 8, the rational numbers closest to √40 to the nearest half are 6.5 and 7.

Therefore, the whole number and rational number closest to √40 to the nearest half are 7.