Using a number line, what whole number and rational number to the nearest half is
40
−
−
√
between?
To find the whole number and rational number to the nearest half that is between 40 and $\sqrt{40}$, we can plot these numbers on a number line.
Since $\sqrt{40}\approx 6.32$, we can plot the numbers 40 and 6.32 on a number line.
[asy]
unitsize(0.4cm);
int i;
for(i = 0; i <= 9; ++i){
draw((i,0)--(i,1), linewidth(0.7));
draw((i+0.5,0)--(i+0.5,0.75), linetype("4 4"), linewidth(0.7));
}
label("$0$", (0, -1), UnFill);
label("$10$", (10, -1), UnFill);
label("$40$", (4, -2), UnFill);
label("6.32", (6.32, -2), S);
dot((4,0));
dot((6.32,0));
draw((4,0)--(6.32,0),Arrows);
[/asy]
The whole number to the nearest half between 40 and $\sqrt{40}$ is $\boxed{4}$, and the rational number to the nearest half is $\boxed{6.5}$.
To find the whole number and rational number to the nearest half that is between 40 and √2, we can use a number line.
First, let's locate the numbers 40 and √2 on the number line:
40 √2
|-------------------|------|------------------|
Next, let's find the whole number to the nearest half. To do this, we look at the nearest half on the number line between 40 and √2.
Looking at the number line, we can see that the nearest half between 40 and √2 is 40.5.
So, the whole number to the nearest half is 40.
Now, let's find the rational number to the nearest half. From the number line, we can see that the nearest half is 40.5.
Therefore, the whole number and rational number to the nearest half between 40 and √2 is 40.5.