Grade 4 Measurement Worksheets: Convert metric lengths | Worsheets library - Free Printable
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Step-by-step solution for: Grade 4 Measurement Worksheets: Convert metric lengths | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Measurement Worksheets: Convert metric lengths | Worsheets library
To solve this worksheet, we need to convert between different units of length: kilometers (km), meters (m), centimeters (cm), and millimeters (mm).
Here are the key rules we will use:
1. 1 meter (m) = 100 centimeters (cm)
2. 1 centimeter (cm) = 10 millimeters (mm)
3. Therefore, 1 meter (m) = 1,000 millimeters (mm) (because $100 \text{ cm} \times 10 \text{ mm/cm} = 1,000 \text{ mm}$)
Let's break down the problems into two sections based on the worksheet.
When converting from a larger unit to a smaller unit (like meters to centimeters), we multiply.
1. 31 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $31 \times 100 = 3,100$
* Answer: 3,100
2. 22 cm = _____ mm
* Rule: Multiply centimeters by 10.
* Calculation: $22 \times 10 = 220$
* Answer: 220
3. 18 cm = _____ mm
* Rule: Multiply centimeters by 10.
* Calculation: $18 \times 10 = 180$
* Answer: 180
4. 85 cm = _____ mm
* Rule: Multiply centimeters by 10.
* Calculation: $85 \times 10 = 850$
* Answer: 850
5. 53 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $53 \times 100 = 5,300$
* Answer: 5,300
6. 49 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $49 \times 100 = 4,900$
* Answer: 4,900
7. 38 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $38 \times 100 = 3,800$
* Answer: 3,800
8. 28 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $28 \times 100 = 2,800$
* Answer: 2,800
9. 72 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $72 \times 100 = 7,200$
* Answer: 7,200
10. 57 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $57 \times 100 = 5,700$
* Answer: 5,700
---
When converting from a smaller unit to a larger unit (like millimeters to centimeters), we divide.
11. 1,000 mm = _____ cm
* Rule: Divide millimeters by 10.
* Calculation: $1,000 / 10 = 100$
* Answer: 100
12. 2,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $2,000 / 100 = 20$
* Answer: 20
13. 7,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $7,000 / 100 = 70$
* Answer: 70
14. 7,000 mm = _____ m
* Rule: Divide millimeters by 1,000.
* Calculation: $7,000 / 1,000 = 7$
* Answer: 7
15. 3,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $3,000 / 100 = 30$
* Answer: 30
16. 3,000 mm = _____ m
* Rule: Divide millimeters by 1,000.
* Calculation: $3,000 / 1,000 = 3$
* Answer: 3
17. 1,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $1,000 / 100 = 10$
* Answer: 10
18. 5,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $5,000 / 100 = 50$
* Answer: 50
19. 2,000 mm = _____ m
* Rule: Divide millimeters by 1,000.
* Calculation: $2,000 / 1,000 = 2$
* Answer: 2
20. 6,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $6,000 / 100 = 60$
* Answer: 60
Final Answer:
1. 3,100
2. 220
3. 180
4. 850
5. 5,300
6. 4,900
7. 3,800
8. 2,800
9. 7,200
10. 5,700
11. 100
12. 20
13. 70
14. 7
15. 30
16. 3
17. 10
18. 50
19. 2
20. 60
Here are the key rules we will use:
1. 1 meter (m) = 100 centimeters (cm)
2. 1 centimeter (cm) = 10 millimeters (mm)
3. Therefore, 1 meter (m) = 1,000 millimeters (mm) (because $100 \text{ cm} \times 10 \text{ mm/cm} = 1,000 \text{ mm}$)
Let's break down the problems into two sections based on the worksheet.
Section 1: Convert to smaller units (Multiplying)
When converting from a larger unit to a smaller unit (like meters to centimeters), we multiply.
1. 31 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $31 \times 100 = 3,100$
* Answer: 3,100
2. 22 cm = _____ mm
* Rule: Multiply centimeters by 10.
* Calculation: $22 \times 10 = 220$
* Answer: 220
3. 18 cm = _____ mm
* Rule: Multiply centimeters by 10.
* Calculation: $18 \times 10 = 180$
* Answer: 180
4. 85 cm = _____ mm
* Rule: Multiply centimeters by 10.
* Calculation: $85 \times 10 = 850$
* Answer: 850
5. 53 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $53 \times 100 = 5,300$
* Answer: 5,300
6. 49 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $49 \times 100 = 4,900$
* Answer: 4,900
7. 38 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $38 \times 100 = 3,800$
* Answer: 3,800
8. 28 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $28 \times 100 = 2,800$
* Answer: 2,800
9. 72 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $72 \times 100 = 7,200$
* Answer: 7,200
10. 57 m = _____ cm
* Rule: Multiply meters by 100.
* Calculation: $57 \times 100 = 5,700$
* Answer: 5,700
---
Section 2: Convert to larger units (Dividing)
When converting from a smaller unit to a larger unit (like millimeters to centimeters), we divide.
11. 1,000 mm = _____ cm
* Rule: Divide millimeters by 10.
* Calculation: $1,000 / 10 = 100$
* Answer: 100
12. 2,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $2,000 / 100 = 20$
* Answer: 20
13. 7,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $7,000 / 100 = 70$
* Answer: 70
14. 7,000 mm = _____ m
* Rule: Divide millimeters by 1,000.
* Calculation: $7,000 / 1,000 = 7$
* Answer: 7
15. 3,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $3,000 / 100 = 30$
* Answer: 30
16. 3,000 mm = _____ m
* Rule: Divide millimeters by 1,000.
* Calculation: $3,000 / 1,000 = 3$
* Answer: 3
17. 1,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $1,000 / 100 = 10$
* Answer: 10
18. 5,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $5,000 / 100 = 50$
* Answer: 50
19. 2,000 mm = _____ m
* Rule: Divide millimeters by 1,000.
* Calculation: $2,000 / 1,000 = 2$
* Answer: 2
20. 6,000 cm = _____ m
* Rule: Divide centimeters by 100.
* Calculation: $6,000 / 100 = 60$
* Answer: 60
Final Answer:
1. 3,100
2. 220
3. 180
4. 850
5. 5,300
6. 4,900
7. 3,800
8. 2,800
9. 7,200
10. 5,700
11. 100
12. 20
13. 70
14. 7
15. 30
16. 3
17. 10
18. 50
19. 2
20. 60
Parent Tip: Review the logic above to help your child master the concept of metric unit for 4th grade math worksheet.