Using a number line, what whole number and rational number to the nearest half is 40√ between?(1 point)
40√ is between and .
To find the whole number and rational number closest to 40√, we can first approximate the value of 40√.
Using a calculator, we find that √40 is approximately 6.32455532034.
Therefore, 40√ is equal to 40 * 6.32455532034, which is approximately 252.982212814.
To find the whole number closest to 40√, we can see that the whole number is 253.
To find the rational number closest to 40√ to the nearest half, we need to determine whether 40√ is closer to 253 or 252.5.
Since 40√ is closer to 252.5 than 253, we can say that the rational number to the nearest half is 252.5.
Therefore, 40√ is between 253 and 252.5 on a number line.
To determine the whole number and rational number to the nearest half that the number 40√ is between, we can use a number line.
First, let's find the whole number part of 40√. Since the square root of any whole number is also a whole number, we know that 40√ is larger than the square root of 40, which is 6.32 (approximately).
Next, let's find the whole number part that is one unit greater than the square root of 40. The number after 6.32 is 7.
Now, let's find the rational number to the nearest half between 6.5 and 7. Since the midpoint between 6.5 and 7 is 6.75, we can conclude that 40√ is between 6.5 and 7 on the number line.
Therefore, 40√ is between 6.5 and 7.