Problems from Decimal metric system: length, mass, capacity, surface and volume

Development:

1. The original unit (the dl) is less than what you want to get (the decaliter). Therefore, it will be divided by $10$ the same number of times as it has rows to climb. In this case there are two, so we divide by $100$: $$16.000:100=160\text{dal}$$
2. The original unit (the decameter cubic) is greater than what we want to get (cubic meter). So you have to multiply the original amount by $1.000$ the same number of times as there are rows it must climb down. As you only need to move down one row, we have: $$0,0378\cdot 1000=37,8{\text{m}}^3$$

Solution:

1. $16.000$ dl $=160$ dal
2. $0,0378$ dam${}^3=37,8$ m${}^3$

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