To determine the whole number and rational number closest to $10\sqrt{2}$, we need to find the whole number and rational number closest to $\frac{10\sqrt{2}}{2} = 5\sqrt{2}$.
Notice that $\sqrt{2}\approx 1.4$. Therefore, the value $5\sqrt{2}$ is approximately $5(1.4) = 7+1/2$. So, the whole number and rational number closest to $10\sqrt{2}$ is $\boxed{8}$ and $\boxed{7\frac{1}{2}}$.
using a number line, what whole number and rational number to the nearest half is 10√ between?(1 point)
1 answer