Capacity conversion (mL ↔ L)
Foundation1 L = 1000 mL, multiply by 1000 to go large → small.
After this lesson, you can:
- 1 L = 1000 mL
- L → mL multiply by 1000; mL → L divide by 1000
- Shift the point three places: 2.5 L = 2500 mL
1Summary 重點摘要
1 L = 1000 mL, multiply by 1000 to go large → small.
2Vocabulary cards Vocabulary
L
Litre (L)升(L)
The big capacity unit: a large soft drink is about 1.5 L.
M
Millilitre (mL)毫升(mL)
The small unit: a juice box holds about 250 mL.
1
1 L = 1000 mL1 升 = 1000 毫升
The fixed conversion rate.
B
Big to small大單位轉小單位
L → mL multiply by 1000: 2.5 L = 2500 mL.
S
Small to big小單位轉大單位
mL → L divide by 1000: 3500 mL = 3.5 L.
S
Shift the point 3 places小數點移 3 位
×1000 shifts right 3 places; ÷1000 shifts left 3.
U
Unify units first先統一單位
Convert everything to one unit before adding.
M
Measuring jug量杯
A jug marked in mL for measuring.
3Step by step Steps
- Step 1: The main rate1 L = 1000 mL is the fixed link between litres and millilitres; memorise this line and every capacity conversion has a basis. Litres measure larger amounts of liquid, such as a 1.5 L bottle of soft drink; millilitres measure smaller amounts, such as a 250 mL carton of milk. The two units differ by exactly 1000 times, so every conversion is a multiply or a divide by 1000. A common mistake is remembering the rate as 100, writing 2 L = 200 mL; a life check shows two 200 mL bottles would not even fill one cup, exposing the error.
- Step 2: Big to small (× 1000)Litres to millilitres multiplies by 1000: 2.5 L = 2.5 × 1000 = 2500 mL, the decimal point moving three places right. Why does the number grow? Because millilitres are the smaller unit, so the same liquid must give a larger value; 2.5 L can never equal 250 mL. The rule reads: the unit shrinks and the number grows, the same pattern as weight conversion. A common slip is moving too few places, writing 25 mL for 2.5 L; after finishing, compare the numbers, and a smaller result signals a reversed direction or a short move.
- Step 3: Small to big (÷ 1000)Millilitres to litres divides by 1000: 3500 mL = 3500 ÷ 1000 = 3.5 L, the point moving three places left. The reason is that litres are the larger unit, so the number must shrink; 3500 becomes only 3.5. The motto is big-to-small multiplies, small-to-big divides, and these two lines keep the direction safe. The usual error is moving too few places, such as writing 35 L for 3500 mL; verifying with 35 × 1000 = 35000, which does not match, shows the correction needed, so make multiply-back checks a habit.
- Step 4: Small values tooValues under a litre follow the same method: 250 mL = 250 ÷ 1000 = 0.25 L, the point moving three places left with zeros padded, treating 250 as 0250 first. Everyday anchors build the feel: a cup of water is about 250 mL, which is 0.25 L, and a tablespoon is about 15 mL, which is 0.015 L. A common mistake is padding too few zeros and writing 2.5 L for 250 mL; remember that any amount below 1000 mL becomes less than 1 litre, so a result above 1 always calls for a check on the three-place move.
- Step 5: Unify before addingCapacities in different units cannot be added directly: for 1 L + 500 mL, turn 1 L into 1000 mL first, then add, 1000 + 500 = 1500 mL, which is 1.5 L. The reason is that litres and millilitres differ by 1000 times, so adding 1 and 500 directly gives a meaningless 501. Unifying the units is the fixed first step for mixed units: convert first, calculate second. The common error is forgetting to unify, or converting in the wrong direction; a quick everyday estimate of the total catches most mistakes.
- Step 6: Everyday anchorsKeeping everyday capacities in mind makes estimating and converting surer: a large bottle of soft drink is 1.5 L or 1500 mL, a cup of water about 250 mL or 0.25 L, a small water bottle about 500 mL or half a litre, a bucket about 15 L, and a tablespoon about 15 mL. With these anchors an unreasonable answer stands out at once, such as a cup holding 250 L. The common fault is lacking a feel for size, so an absurd result goes unnoticed; check every answer against daily experience as well as by calculation.
4Diagrams Diagrams
5Worked example Example
Example: (1) 2.5 L = how many mL? (2) A 1.5 L bottle of drink is poured into 250 mL cartons; how many cartons can be filled?
- Part 1: 2.5 × 1000 = 2500, so 2500 mL, the point moving three places right.
- Part 2: unify the units first, 1.5 L = 1500 mL.
- Count the cartons: 1500 ÷ 250 = 6 cartons.
- Check: 6 × 250 = 1500 mL = 1.5 L, exactly the bottle's contents.
- Answer: (1) 2.5 L = 2500 mL; (2) 6 cartons can be filled. Part 1 multiplies by 1000 for big-to-small; Part 2 converts 1.5 L into 1500 mL first, then divides: 1500 ÷ 250 = 6. The check 6 × 250 = 1500 mL matches the whole bottle, so the answer is correct.
6Common mistakes Mistakes
✗ Using 100 as the rate: 2 L as 200 mL.
✓ 1 L = 1000 mL: 2 L = 2000 mL.
✗ Wrong direction: multiplying by 1000 to go mL → L.
✓ Small to big divides: 3500 ÷ 1000 = 3.5 L.
✗ Adding mixed units: 1 L + 500 mL as 6 L.
✓ Unify first: 1000 + 500 = 1500 mL = 1.5 L.
✗ Dropping the point: 2500 mL written as 25.
✓ Shift all three places: 2.5 × 1000 = 2500.
7Quick check Quick check
Q12 L = ? mL
Answer: 2000 mL.
Did you get it right?
Q22.5 L = ? mL
Answer: 2500 mL.
Did you get it right?
Q33500 mL = ? L
Answer: 3.5 L.
Did you get it right?
Q4250 mL = ? L
Answer: 0.25 L.
Did you get it right?
Q51 L + 500 mL = ? L
Answer: 1.5 L.
Did you get it right?
8Recap Recap
- 1 L = 1000 mL
- L → mL multiply by 1000; mL → L divide by 1000
- Shift the point three places: 2.5 L = 2500 mL
- Unify units before adding or subtracting
- Everyday anchors: big bottle 1.5 L, juice box 250 mL