Working with values, units and conversions
Convert units of length, mass and time
The conversion table
For lengths and masses, we use a decimal conversion table, where each column is 10 times the value of the previous one:
| km / kg | hm / hg | dam / dag | m / g | dm / dg | cm / cg | mm / mg |
|---|
Enter one figure per column, aligning with the reference unit (m or g), then read the number by shifting the decimal point.
Step-by-step example
Convert 2.5 km to m:
- 1 km = 1000 m, so 2.5 km = 2.5 × 1000 = 2500 m.
Convert 350 g to kg:
- 1,000 g = 1 kg, so 350 g = 350 / 1,000 = 0.35 kg.
The special case of time
Please note: time does not follow a decimal system! You do not divide by 10, but rather:
| Unit | Equivalent |
|---|---|
| 1 min | 60 s |
| 1 h | 60 min = 3600 s |
| 1 day | 24 h |
Example: 2 h 15 min in seconds -> (2 × 3600) + (15 × 60) = 7200 + 900 = 8100 s.
A common pitfall to avoid
The most common mistake is to apply the decimal conversion table (used for length and mass) to durations. Many pupils write “1 h = 100 min”, which is incorrect: 1 hour is equal to 60 minutes, not 100. Always check the nature of the quantity before converting.

