Name: ________________________
Date: _________________________

CONVERTING UNITS OF MEASUREMENT Between Measurement Systems

In Canada, the metric system is used for most measurements, but occasionally, recipes or other documents will give measurements in imperial units. Converting imperial units to metric units requires multiplying or dividing the number by the correct amount. Common imperial units are inches (in), yards (yd), miles, pounds (lb), gallons (gal), and ounces (oz).

Common Length Conversions

\begin{tabular}{|l|l|l|}
\hline
\multicolumn{2}{|c|}{Metric} & \multicolumn{1}{|c|}{Imperial} \\
\hline
millimetre [tex]$(mm)$[/tex] & & 0.0394 in \\
\hline
centimetre [tex]$(cm)$[/tex] & 10 mm & 0.3937 in \\
\hline
metre [tex]$(m)$[/tex] & 100 cm & 1.0936 yd \\
\hline
kilometre [tex]$(km)$[/tex] & 1000 m & 0.6214 mile \\
\hline
\end{tabular}

Common Weight Conversions

\begin{tabular}{|l|l|l|}
\hline
\multicolumn{2}{|c|}{Metric} & \multicolumn{1}{|c|}{Imperial} \\
\hline
1 kilogram (kg) & 1000 g & 2.2046 lb \\
\hline
\end{tabular}

Common Volume Conversions

\begin{tabular}{|l|l|}
\hline
\multicolumn{1}{|c|}{Metric} & \multicolumn{1}{|c|}{Imperial} \\
\hline
1 litre [tex]$(L)$[/tex] & 0.2642 gal \\
\hline
1 millilitre [tex]$(mL)$[/tex] & 0.0338 oz \\
\hline
\end{tabular}

Example

The school is 3 km from my house. How many miles away is it?

[tex]\[ 3 \times 0.6214 = 1.86 \text{ miles } \][/tex]

When might you need to calculate some of the common conversions above?

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Copyright Teacher Resource Cabin 2021
Ontario Curriculum - MTH1W - E. Geometry and Measurement



Answer :

### Solution

To solve the problem of converting kilometers to miles, we need to use the given conversion factor between these two units. The problem states that the school is 3 kilometers away from your house and asks for the distance in miles.

Here’s a step-by-step solution to find the distance in miles:

1. Identify the given distance in kilometers:
- The distance from your house to the school is 3 kilometers.

2. Understand the conversion factor:
- From the table provided, we see that 1 kilometer is equivalent to 0.6214 miles.

3. Set up the conversion calculation:
- To find out how many miles 3 kilometers is, we multiply the number of kilometers by the conversion factor (0.6214).

4. Perform the multiplication:
- Distance in miles = [tex]\(3 \text{ km} \times 0.6214 \text{ miles/km}\)[/tex]

5. Calculate:
- Distance in miles = 1.8642

So, the distance from your house to the school, when converted from 3 kilometers to miles, is approximately 1.86 miles.

### Example Questions
When might you need to calculate some of the common conversions above?
1. When traveling internationally, you might need to convert distances from kilometers to miles or vice versa.
2. When reading a foreign recipe, you might need to convert quantities from milliliters to ounces or liters to gallons.
3. When weighing luggage for air travel, you might need to convert the weight from kilograms to pounds.
4. Engineers and architects working with international teams often need to convert measurements to ensure consistency in their work.

These conversions are essential in various practical situations across different fields, emphasizing the importance of understanding and accurately performing unit conversions.