Let's solve each of the four metric conversion word problems step by step.
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Problem #1
The length of Jonathan's bedroom is 3 m 50 cm. His parents' bedroom is 2 m 80 cm longer than his bedroom. How many centimeters long is Jonathan's parents' bedroom?
#### Step-by-step:
1. Convert Jonathan’s bedroom length to centimeters:
- 3 meters = 3 × 100 = 300 cm
- Add 50 cm → 300 + 50 =
350 cm
2. The parents’ bedroom is 2 m 80 cm longer:
- 2 meters = 2 × 100 = 200 cm
- Add 80 cm → 200 + 80 =
280 cm
3. Add to Jonathan’s bedroom length:
- 350 cm + 280 cm =
630 cm
✔ Answer: 630 centimeters
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Problem #2
Autumn received two packages. One package weighs 1 kg 830 g and the other package weighs 3 kg 190 g. What is the combined weight of the packages in grams?
#### Step-by-step:
1. Convert both weights to grams:
- 1 kg 830 g = 1000 g + 830 g =
1830 g
- 3 kg 190 g = 3000 g + 190 g =
3190 g
2. Add the two weights:
- 1830 g + 3190 g =
5020 g
✔ Answer: 5020 grams
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Problem #3
Mr. Walker bought four 2-liter bottles of soda for the 4th grade party. If there were 2 liters 820 milliliters of soda remaining at the end of the party, how much soda did the students drink?
#### Step-by-step:
1. Total soda purchased:
- 4 bottles × 2 liters =
8 liters
2. Convert total soda to milliliters (since leftover is in mL):
- 8 liters = 8 × 1000 =
8000 mL
3. Leftover soda:
- 2 liters 820 mL = 2000 mL + 820 mL =
2820 mL
4. Soda drunk by students:
- 8000 mL − 2820 mL =
5180 mL
✔ Answer: 5180 milliliters
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Problem #4
The pharmacist has 3 liters of medicine. If the pharmacist uses that to make 5 bottles of medicine, how many milliliters are in each bottle?
#### Step-by-step:
1. Total medicine: 3 liters = 3 × 1000 =
3000 mL
2. Divide equally among 5 bottles:
- 3000 mL ÷ 5 =
600 mL per bottle
✔ Answer: 600 milliliters
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✔ Final Answers:
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Problem #1: 630 cm
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Problem #2: 5020 g
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Problem #3: 5180 mL
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Problem #4: 600 mL
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Parent Tip: Review the logic above to help your child master the concept of conversion word problems worksheet with answers.