Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
40−−√ is between
and
.
The square root of 40 is approximately 6.32. To find the nearest half, we need to look at the numbers on either side of 6.32 on the number line.
The whole number to the left of 6.32 is 6, and the whole number to the right is 7.
The rational number to the nearest half is also 6.5 because it is halfway between 6 and 7.
Therefore, the whole number and rational number to the nearest half that 40−−√ is between are 6 and 6.5.
To find the whole number and rational number to the nearest half that 40−−√ is between, we need to locate it on a number line.
Since 40−−√ is a positive number, we know it is greater than 0. Let's start by adding 1 to 40−−√ to get an approximate value.
40−−√ + 1 ≈ 7.162
Now, let's round this approximate value to the nearest half:
7.162 rounds to 7.5
So, 40−−√ is between the whole number 7 and the rational number 7.5 on the number line.