Using a number line, what whole number and rational number to the nearest half is sqrt(40) between? (1 point)
To determine the whole number and rational number to the nearest half that is closest to √40, let's calculate √40 and round it to the nearest half.
Using a calculator, we find that √40 ≈ 6.3245.
To round it to the nearest half, we need to look at the decimal part: 0.3245.
Since the decimal part is greater than 0.25 but less than 0.75, we round up to the next whole number.
So, to the nearest whole number, √40 is closer to 7.
To find the number to the nearest half, we know that a whole number is equal to a rational number with a denominator of 1. Therefore, 7 as a whole number is also 7/1 as a rational number.
Thus, √40 is between the whole number 7 and the rational number 7/1.
To determine the whole number and rational number closest to √40 on a number line, we can first calculate the exact value of √40.
√40 = 6.32455532034
The whole number closest to √40 is 6, as it is the highest whole number that is less than √40. To find the rational number closest to √40 to the nearest half, we need to determine the two half-intervals that √40 falls between.
6 is the whole number less than √40, and 7 is the next whole number greater than √40. So, √40 falls between the numbers 6 and 7 on the number line.
We can divide the interval between 6 and 7 into halves:
6.5 is the first half, and
7 is the second half.
The rational number closest to √40 is therefore 6.5, as it is the closest rational number to √40 to the nearest half.
To determine the whole number and rational number to the nearest half that is between $\sqrt{40}$, we need to first find the two whole numbers that $\sqrt{40}$ is between.
Since $6^2 = 36$ and $7^2 = 49$, we know that $\sqrt{40}$ is between 6 and 7 on the number line.
Next, we need to find the rational number to the nearest half that is between $\sqrt{40}$, 6, and 7.
To find the rational number to the nearest half, we can round $\sqrt{40}$ to the nearest half. $\sqrt{40} \approx 6.32$, which is closer to 6.
Therefore, the whole number and rational number to the nearest half that $\sqrt{40}$ is between are 6 and 6.5, respectively.