Decompose a Liter into Tenths (100 mL)
Decomposing a Liter into Tenths teaches Grade 3 students that a liter can be divided into 10 equal parts of 100 mL each, directly connecting liquid volume measurement to fraction concepts. From Eureka Math Grade 3: 1 L = 10 × 100 mL, so each 100 mL represents 1/10 of a liter. Measuring out 300 mL means you have 3/10 of a liter. This connection between metric measurement and fractions reinforces that a fraction's denominator tells how many equal parts the whole is divided into — here the whole is 1 liter, divided into 10 equal 100-mL parts.
Key Concepts
A liter can be decomposed into 10 equal parts, with each part measuring 100 milliliters. This demonstrates the relationship between liters and milliliters. $$1 \text{ L} = 1000 \text{ mL}$$ $$1000 \text{ mL} \div 10 = 100 \text{ mL}$$.
Common Questions
How many equal parts does a liter decompose into when split into tenths?
10 equal parts, each measuring 100 mL.
What fraction of a liter is 100 mL?
100 mL = 1/10 of a liter.
What fraction of a liter is 300 mL?
300 mL = 3/10 of a liter.
How does this connect fractions to measurement?
The liter is the whole, divided into 10 equal 100-mL parts. Each part is 1/10, just like partitioning a shape into 10 equal pieces.
How many milliliters make 7/10 of a liter?
7 × 100 mL = 700 mL.
What Eureka Math grade covers decomposing a liter into tenths?
Grade 3, connecting the measurement and data domain with the fractions domain.