Converting Between Liters and Milliliters
Converting between liters and milliliters uses the fundamental relationship 1 L = 1,000 mL: multiply by 1,000 to convert liters to milliliters, and divide by 1,000 to convert milliliters to liters, as taught in Grade 4 Eureka Math. This metric conversion is base-10 and fits the place value system students already know — multiplying by 1,000 shifts each digit three places to the left. Students apply this conversion in measurement word problems involving liquid volumes, science experiments, and everyday contexts like medicine dosages or cooking.
Key Concepts
The fundamental relationship between liters (L) and milliliters (mL) is: $$1 \text{ L} = 1,000 \text{ mL}$$ To convert a measurement from liters to milliliters, multiply the number of liters by 1,000.
Common Questions
How many milliliters are in a liter?
1 liter = 1,000 milliliters. The prefix ‘milli-’ means 1/1,000, so a milliliter is one-thousandth of a liter.
How do you convert liters to milliliters?
Multiply by 1,000. Example: 3.5 L = 3.5 × 1,000 = 3,500 mL.
How do you convert milliliters to liters?
Divide by 1,000. Example: 750 mL = 750 ÷ 1,000 = 0.75 L.
Why does multiplying by 1,000 shift the decimal point?
In our base-10 system, multiplying by 1,000 moves each digit three place values to the left (or the decimal point three places to the right). This is why 2.5 L becomes 2,500 mL.
When do students need this conversion in real life?
Medicine labels list doses in mL, water bottles show volume in L, and recipes may use either unit. Being able to convert allows comparison and accurate measurement.