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

Convert \( 16,848dm^3 \) into 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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