Converting Units of Measurement

Metric Conversion Mastery: Length, Mass, and Capacity

Grade 4 • Math DepEd MATATAG Page 1 of 4

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Grade & Section:

Date:

Score: ____ / 24

📌 Official Metric Conversion Guide & Formula Reference

Quarter 2 • Keep for Reference!

📏 Length (Haba)

1 km = 1,000 m

1 m = 100 cm | 1 cm = 10 mm

Larger → Smaller × factor (10, 100, 1,000)
Smaller → Larger ÷ factor

⚖️ Mass / Weight (Bigat)

1 kilogram (kg) = 1,000 grams (g)

1 gram (g) = 1,000 mg

Tip: "Kilo" means 1,000.
To convert kg → g, multiply by 1,000.
To convert g → kg, divide by 1,000.

🧪 Capacity (Kapasidad)

1 Liter (L) = 1,000 milliliters (mL)

½ L = 500 mL | ¼ L = 250 mL

Tip: "Milli" means 1/1,000.
3 zeros in 1,000! Watch place values:
4 L 50 mL = 4,050 mL (not 450 mL).

Part A (8 pts) Units of Length: Refer to your conversion guide above. Multiply or divide to fill in the correct equivalent length.

1 5 m =

______ cm

2 8 cm =

______ mm

3 4 km =

______ m

4 12 m =

______ cm

5 700 cm =

______ m

6 60 mm =

______ cm

7 9,000 m =

______ km

8 3,500 m =

__ km __ m

Part B (8 pts) Mixed Units of Length: Convert the larger unit first, then combine with the remaining smaller units.

9 3 m and 45 cm =

_________ cm

10 6 km and 250 m =

_________ m

11 8 m and 5 cm =

_________ cm

12 2 km and 80 m =

_________ m

13 425 cm =

___ m ___ cm

14 5,060 m =

___ km ___ m

15 7 cm and 4 mm =

_________ mm

16 15 m and 80 cm =

_________ cm

Part C (8 pts) Real-World Length Practice: Solve each problem. Show your calculation in the box provided.

17 School Flagpole Banner 4 pts

A blue ribbon measures 4 meters and 35 centimeters long. How many centimeters is this ribbon in total?

(4 × 100 cm) + 35 cm =

Ans: _______ cm

18 Fun Run Distance 4 pts

Mateo ran 3,800 meters during the Quezon City Memorial Circle youth fun run. How many km and m did he run?

3,800 ÷ 1,000 =

Ans: ___ km ___ m

Units of Mass and Capacity

Kilograms (kg), Grams (g), Liters (L), & Milliliters (mL)

Grade 4 • Math DepEd MATATAG Page 2 of 4

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⚖️ 1 kg = 1,000 g (× 1,000 for kg → g | ÷ 1,000 for g → kg) 🧪 1 L = 1,000 mL (× 1,000 for L → mL | ÷ 1,000 for mL → L)

Part A: Mass (8 pts) Converting Units of Mass (kg & g): Complete each conversion using your conversion guide.

1 4 kg =

______ g

2 9 kg =

______ g

3 15 kg =

______ g

4 6,000 g =

______ kg

5 11,000 g =

______ kg

6 2 kg 350 g =

______ g

7 5 kg 40 g =

______ g

8 7,200 g =

__ kg __ g

Part B: Capacity (8 pts) Converting Units of Capacity (L & mL): Remember that 1 Liter = 1,000 milliliters. Watch out for place-value zeros!

9 3 L =

______ mL

10 8 L =

______ mL

11 25 L =

______ mL

12 7,000 mL =

______ L

13 14,000 mL =

______ L

14 4 L 150 mL =

______ mL

15 6 L 8 mL =

______ mL

16 9,060 mL =

__ L __ mL

Part C: Comparing (8 pts) Comparing Quantities: Convert both sides to the same unit first, then write <, >, or = in the circle.

17 3 kg 200 g ? 3,050 g

(Hint: 3,200 g vs 3,050 g)

18 5 L 80 mL ? 5,800 mL

(Hint: 5,080 mL vs 5,800 mL)

19 7 m 45 cm ? 745 cm

(Hint: 745 cm vs 745 cm)

20 4,500 m ? 4 km 50 m

(Hint: 4,500 m vs 4,050 m)

21 8,000 g ? 8 kg

(Hint: 8,000 g vs 8,000 g)

22 2 L 500 mL ? 2,050 mL

(Hint: 2,500 mL vs 2,050 mL)

23 600 mm ? 60 cm

(Hint: 60 cm vs 60 cm)

24 10 kg ? 9,990 g

(Hint: 10,000 g vs 9,990 g)

Real-World Measurement Problems

Multi-Step Problem Solving: Length, Mass, & Capacity

Grade 4 • Math DepEd MATATAG Page 3 of 4

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💡 Steps to Solve: 1. Identify given quantities • 2. Convert to the same unit • 3. Perform operation • 4. State the final unit clearly! 4 pts each (Total: 20 pts)

1 🧵 Aling Nena's Curtain Project (Length) 4 pts

Aling Nena bought 6 meters of yellow fabric to make classroom curtains. She used 385 centimeters for the main window. How many centimeters of fabric are left?

Convert 6 m to cm: 6 × 100 = 600 cm
Subtract used: 600 cm − 385 cm =

Ans: ________ cm
(or __ m __ cm)

2 🧺 Balintawak Market Produce Basket (Mass) 4 pts

Tatay Cardo bought 3 kilograms and 500 grams of red onions, and 2 kilograms and 750 grams of ripe tomatoes. What is the total mass of the vegetables in grams?

Onions: 3,500 g | Tomatoes: 2,750 g
Total: 3,500 g + 2,750 g =

Ans: ________ g
(or __ kg __ g)

3 🍋 Calamansi Juice for Sportsfest (Capacity) 4 pts

The Grade 4 homeroom prepared 5 Liters of fresh calamansi juice for sports day. During the morning games, students drank 3,450 milliliters. How many milliliters of juice remained?

Convert 5 L to mL: 5 × 1,000 = 5,000 mL
Remaining: 5,000 mL − 3,450 mL =

Ans: ________ mL
(or __ L __ mL)

4 🍚 Rice Grain Repacking (Mass & Division) 4 pts

Kuya Dan has an 8-kilogram sack of organic brown rice. He wants to repack the rice into smaller plastic pouches containing 500 grams each. How many pouches can he fill?

Convert 8 kg to grams: 8 × 1,000 = 8,000 g
Divide into pouches: 8,000 ÷ 500 =

Ans: ________ pouches

5 🏃 DepEd Palarong Pambansa Track (Length) 4 pts

Lara walked 1 kilometer and 400 meters from her house to the sports complex. Her friend Bea walked 1,650 meters. Who walked a longer distance, and by how many meters?

Lara: 1,000 + 400 = 1,400 m | Bea = 1,650 m
Difference: 1,650 m − 1,400 m =

Ans: ________ walked
________ meters longer

Teacher & Parent Answer Key

Full Step-by-Step Solutions & Scoring Rubrics

Answer Key DepEd MATATAG Page 4 of 4

Grade 4 Mathematics: Converting Units of Length, Mass, & Capacity

Total Score: 68 Points

Mastery Level: ≥ 55 Points (80%)

📏 Page 1: Units of Length

Part A (Direct Length):
1. 5 m = 500 cm
2. 8 cm = 80 mm
3. 4 km = 4,000 m
4. 12 m = 1,200 cm
5. 700 cm = 7 m
6. 60 mm = 6 cm
7. 9,000 m = 9 km
8. 3,500 m = 3 km 500 m

Part B (Mixed Length):
9. 3 m 45 cm = 345 cm
10. 6 km 250 m = 6,250 m
11. 8 m 5 cm = 805 cm
12. 2 km 80 m = 2,080 m
13. 425 cm = 4 m 25 cm
14. 5,060 m = 5 km 60 m
15. 7 cm 4 mm = 74 mm
16. 15 m 80 cm = 1,580 cm

Part C (Length Problems):
17. Ribbon: 400 + 35 = 435 cm
18. Fun Run: 3,800 m = 3 km 800 m

⚖️ & 🧪 Page 2: Mass & Capacity

Part A (Mass kg & g):
1. 4 kg = 4,000 g
2. 9 kg = 9,000 g
3. 15 kg = 15,000 g
4. 6,000 g = 6 kg
5. 11,000 g = 11 kg
6. 2 kg 350 g = 2,350 g
7. 5 kg 40 g = 5,040 g
8. 7,200 g = 7 kg 200 g

Part B (Capacity L & mL):
9. 3 L = 3,000 mL
10. 8 L = 8,000 mL
11. 25 L = 25,000 mL
12. 7,000 mL = 7 L
13. 14,000 mL = 14 L
14. 4 L 150 mL = 4,150 mL
15. 6 L 8 mL = 6,008 mL
16. 9,060 mL = 9 L 60 mL

Part C (Inequalities):
17. 3,200 g > 3,050 g
18. 5,080 mL < 5,800 mL
19. 745 cm = 745 cm
20. 4,500 m > 4,050 m
21. 8,000 g = 8,000 g
22. 2,500 mL > 2,050 mL
23. 60 cm = 60 cm
24. 10,000 g > 9,990 g

📝 Page 3: Word Problems

Problem 1 (Curtains):
• 6 m = 600 cm
• 600 − 385 = 215 cm
(or 2 m 15 cm)

Problem 2 (Market Produce):
• Onions: 3,500 g
• Tomatoes: 2,750 g
• Total: 3,500 + 2,750 = 6,250 g
(or 6 kg 250 g)

Problem 3 (Calamansi Juice):
• 5 L = 5,000 mL
• 5,000 − 3,450 = 1,550 mL
(or 1 L 550 mL)

Problem 4 (Rice Repacking):
• 8 kg = 8,000 g
• 8,000 ÷ 500 = 16 pouches

Problem 5 (Walk Distance):
• Lara: 1,400 m | Bea: 1,650 m
• Difference: 1,650 − 1,400 = 250 m
• Answer: Bea walked 250 meters longer.

⏱️ DepEd MATATAG Key Stage 2 Measurement Rubric

🏆 Measurement Master (Advanced)
Score: 61 – 68 Points (≥ 90%)
Rapid conversion across length, mass, and capacity; handles place-value zeros and word problems accurately.

👍 Proficient Learner
Score: 51 – 60 Points (75% – 89%)
Demonstrates clear understanding of conversion factors (× 1,000, × 100); occasional minor calculation errors.

📖 Needs Practice (Intervention)
Score: Below 51 Points (< 75%)
Confuses multiplication vs. division directions or misses place-value zeros (e.g., 5 kg 40 g → 540 g). Needs chart drills.

💡 Pedagogical Tips for Mentors:
• Place Value Zeros Alert: When converting compound units (e.g., 8 m 5 cm or 6 L 8 mL), remind students that 1 m = 100 cm (2 zeros) and 1 L = 1,000 mL (3 zeros). Missing zeros are the #1 source of exam errors!
• Visual Conversion Rule: "Big to Small = Multiply (it grows in number of units); Small to Big = Divide (it shrinks in number of units)."