Find the ratio of the following:

• 5 m to 10 km

To find the ratio of 5 meters to 10 kilometers, we first need to ensure that both measurements are in the same unit. Since 10 kilometers is a much larger unit than 5 meters, converting kilometers to meters will make the comparison easier.

Unit Conversion

We know that:

• 1 kilometer = 1,000 meters

Therefore, to convert 10 kilometers to meters, we multiply:

10 km = 10 × 1,000 m = 10,000 m

Setting Up the Ratio

Now that we have both measurements in meters, we can set up the ratio:

Ratio of 5 m to 10,000 m can be expressed as:

5 m : 10,000 m

Simplifying the Ratio

To simplify this ratio, we can divide both sides by 5:

5 m ÷ 5 : 10,000 m ÷ 5 = 1 : 2,000

Final Result

The simplified ratio of 5 meters to 10 kilometers is:

1 : 2,000

This means that for every 1 meter, there are 2,000 meters in 10 kilometers. Understanding ratios in this way helps us compare different quantities effectively, especially when they are in different units.