Converting Miles to Kilometres: Understanding the Equivalent Distance

The question asks for the approximate equivalent of one mile in kilometres. Converting between different units of measurement is a common task in mathematics and everyday life. Miles and kilometres are both units used to measure distance or length, but they belong to different systems: miles are part of the imperial system, while kilometres are part of the metric system.

The Conversion Factor: Miles to Kilometres

To convert a distance measured in miles to kilometres, we need a conversion factor. This factor tells us how many kilometres are equivalent to one mile. The internationally agreed upon conversion factor is:

1 mile ≈ 1.60934 kilometres

However, for many practical purposes and estimations, this conversion factor is often rounded to make calculations easier.

Approximating the Conversion

Looking at the conversion factor, 1.60934 km per mile, a common and useful approximation is to use 1.6.

Let's see how this approximation works for converting one mile:

• We start with the distance in miles: 1 mile
• We use the approximate conversion factor: 1 mile is approximately 1.6 kilometres.
• Calculation: \( \text{1 mile} \times \text{1.6 km/mile} = \text{1.6 km} \)

So, one mile is approximately equivalent to 1.6 kilometres based on this common approximation.

Evaluating the Options

Let's compare our approximate conversion with the given options:

Based on the common approximation that 1 mile is approximately 1.6 kilometres, Option 1 provides the closest value.

Why 1.6 is a Common Approximation for Miles to Kilometres

While the exact value is about 1.609, rounding to 1.6 makes mental calculations much simpler. For example, to quickly estimate the distance in kilometres from a distance in miles, you can just multiply the number of miles by 1.6.

Let's consider a couple of examples:

• To convert 10 miles to km approximately: \( \text{10 miles} \times \text{1.6 km/mile} = \text{16 km} \)
• To convert 50 miles to km approximately: \( \text{50 miles} \times \text{1.6 km/mile} = \text{80 km} \)

These approximations are widely used in contexts where high precision isn't necessary, such as estimating travel distances.

Revision Table: Distance Units Conversion

Additional Information: Imperial vs. Metric Systems

The mile is a unit of length in the British imperial and US customary systems of measurement. It is historically defined in different ways, but the international statute mile used today is 1,760 yards or 5,280 feet. The kilometre is a unit of length in the metric system, specifically the International System of Units (SI). It is defined as 1,000 metres. The metric system is used by most countries around the world, while the imperial system is still used to varying degrees in the United Kingdom, the United States, and a few other nations. Understanding the conversion between these systems is important for international communication and travel.