Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
On a number line, we can start by placing the whole number 40 and the rational number $\sqrt{40} \approx 6.3246$.
To find the nearest half, we want to locate a whole number and a rational number that are closest to $\sqrt{40}$.
The whole number closest to $\sqrt{40}$ is 6, and the rational number closest to $\sqrt{40}$ is $\frac{13}{2} = 6.5$.
Therefore, the whole number and rational number to the nearest half that is between $\sqrt{40}$ are 6 and $\frac{13}{2}$.
can you put that in simple form
To determine the whole number and rational number closest to √40 on a number line, we can calculate the square root of 40 and identify the nearest whole number and nearest rational number to the nearest half.
√40 is approximately equal to 6.324555.
The nearest whole number to this value is 6, and the nearest half is 6.5.
Therefore, between the values √40-0.5 and √40+0.5, the nearest whole number is 6, and the nearest rational number to the nearest half is 6.5.
To determine the whole number and rational number closest to √40, we can use a number line.
First, find the two whole numbers between which √40 lies. Since the square root of 40 is between the whole numbers 6 and 7 (6² = 36, and 7² = 49), we know that √40 is greater than 6 but less than 7 on the number line.
Next, let's find the rational numbers to the nearest half on the number line. A rational number is one that can be expressed as a fraction, where the numerator and denominator are both integers.
The nearest half to √40 between 6 and 7 is 6.5, which corresponds to the rational number 13/2.
Therefore, the whole number closest to √40 is 6, and the rational number closest to √40 to the nearest half is 13/2 or 6.5.