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are asked for will appear. if you decide that the box you clicked on is…

Question

are asked for will appear.
if you decide that the box you clicked on is not the correct length, click in the box again and the value
disappear. then, click in the box that you think is correct.
click in the box with the blue arrow pointing to 1 kilometer on this line:
(chart with 0, 1/2 mi, 1 mi, 1 1/2 mi, 2 mi, 2 1/2 mi, 3 mi, 3 1/2 mi, 4 mi and blue arrows)
click in the box with the blue arrow pointing to 1 mile on this line:
(chart with 0, 1/2 km, 1 km, 1 1/2 km, 2 km, 2 1/2 km, 3 km, 3 1/2 km and blue arrows)
click in the box with the blue arrow pointing to 500 meters on this line:
(chart with 0, 1/2 km, 1 km, 1 1/2 km, 2 km, 2 1/2 km and blue arrows)

Explanation:

Step1: Convert 1 km to miles

We use the conversion factor $1 \text{ km} \approx 0.621 \text{ mi}$, which is closest to $\frac{1}{2} \text{ mi}$? No, wait, $0.621$ is closer to $\frac{1}{2}$? No, $\frac{1}{2}=0.5$, $1$ mi is 1.609 km. Wait, $1$ km = $\frac{1}{1.609} \approx 0.621$ mi, so it is between $\frac{1}{2}$ mi and $1$ mi, but the closest marked point is $\boldsymbol{\frac{1}{2} \text{ mi}}$? No, wait no: $1$ mile = 1.609 km, so 1 km is less than 1 mile, so the first box (1/2 mi) is the closest? No, wait, let's calculate properly:
$1 \text{ km} = \frac{1}{1.609} \approx 0.621 \text{ mi}$, which is between $\frac{1}{2}$ mi (0.5 mi) and 1 mi (1 mi). But the marked points are 0, 0.5, 1, 1.5, 2, etc. The closest is $\boldsymbol{\frac{1}{2} \text{ mi}}$? No, 0.621 is 0.121 away from 0.5, 0.379 away from 1, so yes, $\frac{1}{2}$ mi is closer.

Step2: Convert 1 mile to km

$1 \text{ mi} = 1.609 \text{ km}$, which is between $1 \text{ km}$ and $1\frac{1}{2} \text{ km}$ (1.5 km). $1.609 - 1.5 = 0.109$, $1.609 -1=0.609$, so closest is $\boldsymbol{1\frac{1}{2} \text{ km}}$

Step3: Convert 500 meters to km

$500 \text{ m} = 0.5 \text{ km}$, which matches the marked $\boldsymbol{\frac{1}{2} \text{ km}}$ point.

Answer:

  1. For 1 kilometer: The box above $\boldsymbol{\frac{1}{2} \text{ mi}}$
  2. For 1 mile: The box above $\boldsymbol{1\frac{1}{2} \text{ km}}$
  3. For 500 meters: The box above $\boldsymbol{\frac{1}{2} \text{ km}}$