Metric Conversion Worksheets - Math Monks - Free Printable
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Step-by-step solution for: Metric Conversion Worksheets - Math Monks
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Step-by-step solution for: Metric Conversion Worksheets - Math Monks
Here are the step-by-step calculations and solutions for the metric conversion worksheet.
1) 2.07 cm to mm
* Logic: To convert centimeters (cm) to millimeters (mm), multiply by 10.
* Calculation: $2.07 \times 10 = 20.7$
* Result: 20.7
2) 1.8 L to mL
* Logic: To convert liters (L) to milliliters (mL), multiply by 1,000.
* Calculation: $1.8 \times 1000 = 1800$
* Result: 1800
3) 0.75 kg to g
* Logic: To convert kilograms (kg) to grams (g), multiply by 1,000.
* Calculation: $0.75 \times 1000 = 750$
* Result: 750
4) 4.48 km to m
* Logic: To convert kilometers (km) to meters (m), multiply by 1,000.
* Calculation: $4.48 \times 1000 = 4480$
* Result: 4480
5) 1408 m to km
* Logic: To convert meters (m) to kilometers (km), divide by 1,000.
* Calculation: $1408 \div 1000 = 1.408$
* Result: 1.408
6) 960 cm to m
* Logic: To convert centimeters (cm) to meters (m), divide by 100.
* Calculation: $960 \div 100 = 9.6$
* Result: 9.6
7) 2560 g to kg
* Logic: To convert grams (g) to kilograms (kg), divide by 1,000.
* Calculation: $2560 \div 1000 = 2.56$
* Result: 2.56
8) 75 mm to cm
* Logic: To convert millimeters (mm) to centimeters (cm), divide by 10.
* Calculation: $75 \div 10 = 7.5$
* Result: 7.5
9) 3.58 cm to mm
* Logic: To convert centimeters (cm) to millimeters (mm), multiply by 10.
* Calculation: $3.58 \times 10 = 35.8$
* Result: 35.8
10) 1500 mL to L
* Logic: To convert milliliters (mL) to liters (L), divide by 1,000.
* Calculation: $1500 \div 1000 = 1.5$
* Result: 1.5
---
1) 1.7 L vs 900 mL
* Step 1: Convert Liters to Milliliters so they match. $1.7 \text{ L} = 1700 \text{ mL}$.
* Step 2: Compare 1700 mL and 900 mL.
* Result: 1700 is greater than 900.
* Answer: >
2) 1.32 km vs 132 m
* Step 1: Convert Kilometers to Meters. $1.32 \text{ km} = 1320 \text{ m}$.
* Step 2: Compare 1320 m and 132 m.
* Result: 1320 is greater than 132.
* Answer: >
3) 5 cm vs 48 mm
* Step 1: Convert Centimeters to Millimeters. $5 \text{ cm} = 50 \text{ mm}$.
* Step 2: Compare 50 mm and 48 mm.
* Result: 50 is greater than 48.
* Answer: >
4) 1010 g vs 0.95 kg
* Step 1: Convert Kilograms to Grams. $0.95 \text{ kg} = 950 \text{ g}$.
* Step 2: Compare 1010 g and 950 g.
* Result: 1010 is greater than 950.
* Answer: >
5) 4.6 m vs 460 cm
* Step 1: Convert Meters to Centimeters. $4.6 \text{ m} = 460 \text{ cm}$.
* Step 2: Compare 460 cm and 460 cm.
* Result: They are equal.
* Answer: =
6) 1600 m vs 1.8 km
* Step 1: Convert Kilometers to Meters. $1.8 \text{ km} = 1800 \text{ m}$.
* Step 2: Compare 1600 m and 1800 m.
* Result: 1600 is less than 1800.
* Answer: <
7) 0.06 L vs 58 mL
* Step 1: Convert Liters to Milliliters. $0.06 \text{ L} = 60 \text{ mL}$.
* Step 2: Compare 60 mL and 58 mL.
* Result: 60 is greater than 58.
* Answer: >
8) 65 g vs 0.42 kg
* Step 1: Convert Kilograms to Grams. $0.42 \text{ kg} = 420 \text{ g}$.
* Step 2: Compare 65 g and 420 g.
* Result: 65 is less than 420.
* Answer: <
Final Answer:
Part 1: Conversions
1. 20.7
2. 1800
3. 750
4. 4480
5. 1.408
6. 9.6
7. 2.56
8. 7.5
9. 35.8
10. 1.5
Part 2: Comparisons
1. >
2. >
3. >
4. >
5. =
6. <
7. >
8.
Part 1: Convert the given values
1) 2.07 cm to mm
* Logic: To convert centimeters (cm) to millimeters (mm), multiply by 10.
* Calculation: $2.07 \times 10 = 20.7$
* Result: 20.7
2) 1.8 L to mL
* Logic: To convert liters (L) to milliliters (mL), multiply by 1,000.
* Calculation: $1.8 \times 1000 = 1800$
* Result: 1800
3) 0.75 kg to g
* Logic: To convert kilograms (kg) to grams (g), multiply by 1,000.
* Calculation: $0.75 \times 1000 = 750$
* Result: 750
4) 4.48 km to m
* Logic: To convert kilometers (km) to meters (m), multiply by 1,000.
* Calculation: $4.48 \times 1000 = 4480$
* Result: 4480
5) 1408 m to km
* Logic: To convert meters (m) to kilometers (km), divide by 1,000.
* Calculation: $1408 \div 1000 = 1.408$
* Result: 1.408
6) 960 cm to m
* Logic: To convert centimeters (cm) to meters (m), divide by 100.
* Calculation: $960 \div 100 = 9.6$
* Result: 9.6
7) 2560 g to kg
* Logic: To convert grams (g) to kilograms (kg), divide by 1,000.
* Calculation: $2560 \div 1000 = 2.56$
* Result: 2.56
8) 75 mm to cm
* Logic: To convert millimeters (mm) to centimeters (cm), divide by 10.
* Calculation: $75 \div 10 = 7.5$
* Result: 7.5
9) 3.58 cm to mm
* Logic: To convert centimeters (cm) to millimeters (mm), multiply by 10.
* Calculation: $3.58 \times 10 = 35.8$
* Result: 35.8
10) 1500 mL to L
* Logic: To convert milliliters (mL) to liters (L), divide by 1,000.
* Calculation: $1500 \div 1000 = 1.5$
* Result: 1.5
---
Part 2: Compare using <, >, or =
1) 1.7 L vs 900 mL
* Step 1: Convert Liters to Milliliters so they match. $1.7 \text{ L} = 1700 \text{ mL}$.
* Step 2: Compare 1700 mL and 900 mL.
* Result: 1700 is greater than 900.
* Answer: >
2) 1.32 km vs 132 m
* Step 1: Convert Kilometers to Meters. $1.32 \text{ km} = 1320 \text{ m}$.
* Step 2: Compare 1320 m and 132 m.
* Result: 1320 is greater than 132.
* Answer: >
3) 5 cm vs 48 mm
* Step 1: Convert Centimeters to Millimeters. $5 \text{ cm} = 50 \text{ mm}$.
* Step 2: Compare 50 mm and 48 mm.
* Result: 50 is greater than 48.
* Answer: >
4) 1010 g vs 0.95 kg
* Step 1: Convert Kilograms to Grams. $0.95 \text{ kg} = 950 \text{ g}$.
* Step 2: Compare 1010 g and 950 g.
* Result: 1010 is greater than 950.
* Answer: >
5) 4.6 m vs 460 cm
* Step 1: Convert Meters to Centimeters. $4.6 \text{ m} = 460 \text{ cm}$.
* Step 2: Compare 460 cm and 460 cm.
* Result: They are equal.
* Answer: =
6) 1600 m vs 1.8 km
* Step 1: Convert Kilometers to Meters. $1.8 \text{ km} = 1800 \text{ m}$.
* Step 2: Compare 1600 m and 1800 m.
* Result: 1600 is less than 1800.
* Answer: <
7) 0.06 L vs 58 mL
* Step 1: Convert Liters to Milliliters. $0.06 \text{ L} = 60 \text{ mL}$.
* Step 2: Compare 60 mL and 58 mL.
* Result: 60 is greater than 58.
* Answer: >
8) 65 g vs 0.42 kg
* Step 1: Convert Kilograms to Grams. $0.42 \text{ kg} = 420 \text{ g}$.
* Step 2: Compare 65 g and 420 g.
* Result: 65 is less than 420.
* Answer: <
Final Answer:
Part 1: Conversions
1. 20.7
2. 1800
3. 750
4. 4480
5. 1.408
6. 9.6
7. 2.56
8. 7.5
9. 35.8
10. 1.5
Part 2: Comparisons
1. >
2. >
3. >
4. >
5. =
6. <
7. >
8.
Parent Tip: Review the logic above to help your child master the concept of metric conversion practice problems worksheet.