Math Skill: Distance Conversion
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Distance Conversion

Here are useful units of measure to know

Length
Metric System English System
1 meter (m) = 1000 millimeters (mm) 1 foot (ft) = 12 inches (in)
1 meter (m) = 100 centimeters (cm) 1 yard (yd) = 3 feet or 36 inches
1 kilometer (km) = 1000 meters (m) 1 mile (mi) = 1760 yards or 5280 feet
1 centimeter (cm) = 10 millimeters (mm)

2.54 centimeters (cm)  = 1 inch (in)

Example 1: Unit conversion (English system)

Do the following conversions. Round to nearest tenth where necessary.
48 in = ft

We know that 1 foot (ft) = 12 inches (in) so

 48 in × = × = 4 ft

So, 48 in = ft

Example 2: Unit conversion (metric system)

Do the following conversions. Round to nearest tenth where necessary.
5 cm = mm

We know that 1 centimeter (cm) = 10 millimeters (mm) so

 5 cm × = × = 50 mm

So, 5 cm = mm

Example 3: Unit conversion (English and metric systems)

Do the following conversions. Round to nearest tenth where necessary.
2 m = ft

To convert between the two systems, we know that 1 centimeter (cm) = 2.54 inches (in).
There are multiple steps:   meters → centimeters → inches → feet

Step 1:  Convert meters (m) to centimeters (cm) by multiplying 100 cm / 1 m

 2 m ×
Step 2:  Convert centimeters (cm) to inches (in) by multiplying 1 in / 2.54 cm
 2 m × ×
Step 3:  Convert inches (in) to feet (ft) by multiplying 1 ft / 12 in
 2 m × × ×
Step 4:  Solve the equation
 2 m × × × =
 2   m  × × × = 6.6 ft

So, 2 m = ft

### Complexity=4, Mode=english

Do the following conversions. Round to nearest tenth where necessary.
 1.   3 mi = yd 2.   4 ft = in

### Complexity=6, Mode=english

Do the following conversions. Round to nearest tenth where necessary.
 1.   1 yd = ft 2.   1 mi = yd

### Complexity=4, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
 1.   3 km = m 2.   3 km = m

### Complexity=6, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
 1.   200 cm = m 2.   2 m = cm

### Complexity=4, Mode=mixed

Do the following conversions. Round to nearest tenth where necessary.
 1.   2 km = m 2.   1 mi = yd

### Complexity=6, Mode=mixed

Do the following conversions. Round to nearest tenth where necessary.
 1.   40 mm = cm 2.   4 m = cm

### Complexity=2, Mode=complex

Do the following conversions. Round to nearest tenth where necessary.
 1.   2 mi = mm 2.   3218.7 m = mi

### Complexity=3, Mode=complex

Do the following conversions. Round to nearest tenth where necessary.
 1.   304.8 mm = ft 2.   25.4 mm = in

### Complexity=4, Mode=english

Do the following conversions. Round to nearest tenth where necessary.
13 mi = yd
Solution
3 mi × (1,760 yd/1 mi) = 5280 yd
24 ft = in
Solution
4 ft × (12 in/1 ft) = 48 in

### Complexity=6, Mode=english

Do the following conversions. Round to nearest tenth where necessary.
11 yd = ft
Solution
1 yd × (3 ft/1 yd) = 3 ft
21 mi = yd
Solution
1 mi × (1,760 yd/1 mi) = 1760 yd

### Complexity=4, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
13 km = m
Solution
3 km × (1,000 m/1 km) = 3000 m
23 km = m
Solution
3 km × (1,000 m/1 km) = 3000 m

### Complexity=6, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
1200 cm = m
Solution
200 cm × (1 m/100 cm) = 2 m
22 m = cm
Solution
2 m × (100 cm/1 m) = 200 cm

### Complexity=4, Mode=mixed

Do the following conversions. Round to nearest tenth where necessary.
12 km = m
Solution
2 km × (1,000 m/1 km) = 2000 m
21 mi = yd
Solution
1 mi × (1,760 yd/1 mi) = 1760 yd

### Complexity=6, Mode=mixed

Do the following conversions. Round to nearest tenth where necessary.
140 mm = cm
Solution
40 mm × (1 cm/10 mm) = 4 cm
24 m = cm
Solution
4 m × (100 cm/1 m) = 400 cm

### Complexity=2, Mode=complex

Do the following conversions. Round to nearest tenth where necessary.
12 mi = mm
Solution
2 mi × (63,360 in/1 mi) × (2.54 cm/1 in) × (10 mm/1 cm) = 3218688 mm
23218.7 m = mi
Solution
3218.7 m × (100 cm/1 m) × (1 in/2.54 cm) × (1 mi/63,360 in) = 2 mi

### Complexity=3, Mode=complex

Do the following conversions. Round to nearest tenth where necessary.