Convert to Liters: Solving 7250 dm³ + 2500 ml Combined Units Problem

Volume Unit Conversion with Mixed Units

Convert to liters:

7250dm3+2500ml= 7250_{dm^3}+2500_{ml}=

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1

Understand the problem

Convert to liters:

7250dm3+2500ml= 7250_{dm^3}+2500_{ml}=

2

Step-by-step solution

To tackle this problem, we'll follow these solutions steps:

  • Step 1: Convert 7250dm3 7250 \, \text{dm}^3 to liters. Since 1dm3 1 \, \text{dm}^3 is equivalent to 1liter 1 \, \text{liter} , we have:

7250dm3=7250liters 7250 \, \text{dm}^3 = 7250 \, \text{liters} .

  • Step 2: Convert 2500ml 2500 \, \text{ml} to liters. Knowing that 1ml=0.001liter 1 \, \text{ml} = 0.001 \, \text{liter} , we calculate:

2500ml=2500×0.001liters=2.5liters 2500 \, \text{ml} = 2500 \times 0.001 \, \text{liters} = 2.5 \, \text{liters} .

  • Step 3: Add both quantities, remembering they are now both in liters:

7250liters+2.5liters=7252.5liters 7250 \, \text{liters} + 2.5 \, \text{liters} = 7252.5 \, \text{liters} .

Hence, the total volume is 7252.5liters \boxed{7252.5 \, \text{liters}} .

In checking choices, the correct answer is 7252.5liters 7252.5 \, \text{liters} , which corresponds to choice 2.

3

Final Answer

7252.6l 7252.6l

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert all units to same measurement before adding volumes
  • Technique: 1dm3=1liter 1 \, \text{dm}^3 = 1 \, \text{liter} and 1000ml=1liter 1000 \, \text{ml} = 1 \, \text{liter}
  • Check: Verify 7250 + 2.5 = 7252.5 liters matches given answer choices ✓

Common Mistakes

Avoid these frequent errors
  • Adding different units without conversion
    Don't add 7250 + 2500 = 9750 without converting units first! This treats dm³ and ml as the same unit, giving a completely wrong result. Always convert all measurements to the same unit before performing any calculations.

Practice Quiz

Test your knowledge with interactive questions

143535 milliliters are? liters

FAQ

Everything you need to know about this question

Why is 1 dm³ equal to 1 liter?

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A cubic decimeter (dm³) is exactly the same volume as a liter! Think of it this way: a cube that's 10 cm × 10 cm × 10 cm = 1000 cm³ = 1 liter = 1 dm³.

How do I remember the ml to liter conversion?

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Remember that "milli" means 1/1000. So 1 ml = 1/1000 liter, which means you need 1000 ml to make 1 liter. To convert ml to liters, divide by 1000!

Should I convert to liters or to ml first?

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The problem asks for the answer in liters, so convert everything to liters! It's easier to work with 7250 + 2.5 than with 7,250,000 + 2500 in milliliters.

What if I get 7252.6 instead of 7252.5?

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Double-check your ml conversion! 2500ml=2500÷1000=2.5liters 2500 \, \text{ml} = 2500 ÷ 1000 = 2.5 \, \text{liters} , not 2.6. The correct answer is 7252.5 liters.

Why are the wrong answers so different from the right one?

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Each wrong answer represents a common mistake: adding without converting units, converting incorrectly, or using wrong conversion factors. This shows why careful unit conversion is essential!

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