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

2 answers

To determine the whole number and rational number closest to √40, we first need to approximate the value of √40. The square root of 40 is approximately 6.32.

Now, let's consider the nearest whole number:
5 is less than 6.32, and 6 is greater than 6.32. Therefore, the whole number closest to √40 is 6.

Next, let's consider the nearest half:
To find the nearest half, we compare √40 to the values halfway between consecutive whole numbers. In this case, the halfway point between 6 and 7 is 6.5. Since 6.32 is closer to 6.5 than it is to 6, the rational number closest to √40 is 6.5.

Thus, √40 is between 6 and 6.5 on a number line.
using a number line what whole number and rational number to the nearest half is √67 in between?
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