10) The actual distance between Bell's favorte mall and her work is 6 kilometers. If \( 2 \mathrm{~cm}=5 \mathrm{kilometers} \mathrm{on} \) a map, what should the distance on the map measure?

To find the distance on the map, we can use the ratio provided: \( 2 \) cm represents \( 5 \) kilometers. First, we need to convert the actual distance of \( 6 \) kilometers into the corresponding length on the map. Using the proportion, we set it up like this: \[ \text{Distance on map} = \left( \frac{2 \text{ cm}}{5 \text{ km}} \right) \times 6 \text{ km} = \frac{12 \text{ cm}}{5} = 2.4 \text{ cm}. \] So, the distance on the map should measure \( 2.4 \) cm. If you ever find yourself unsure about conversions, remember that visualizing it can help! Create a small chart to illustrate different kilometer distances beside their map distances. It significantly aids in quick reference and makes the process more engaging—like a treasure map for your data! Also, don’t forget that when reducing measurements, sticking to consistent units is key! A common mistake is mixing up kilometers and centimeters, which can lead you down the path of confusion. Always double-check your conversions, and you’ll navigate your calculations more smoothly.