Question

Complete each of the following metric relationships:

a. 1 m = cm

b. 1 m = nm

c. 1 mm = m

d. 1 L = mL

Answer 1

a. 1 m = 100 cm

b. 1 m = 1.000.000.000 nm

c. 1 mm = 0,001 m

d. 1 L = 1.000 mL

Explanation:

1 m means 1 meter, that will be our reference word.

a. A cm is a centimeter, “centi” is the prefix that means “one hundred”. So, 1 meter equals 100 centimeters.

b. It happens the same when we have nanometers. “nano” means “one billion” (nine ceros behind the number one), so 1 meter equals 1.000.000.000 nanometers.

c. In this case, it goes the other way around. If we follow the logic that we use before, 1 meter equals 1.000 millimeters (“milli” means "one million"). But the problem says we have 1 mm, so we have to do a direct rule of 3. If 1000 millimeters equals 1 meter, 1 millimeter equals 1/1000 (or 0,01) meters.

d. Now we have liters instead of meters but is the same logic. 1 liter equals 1000 milliliters.