Convert and Add: Solving 1.1L + 1500mL Water Volume Problem

Q: How do I remember the conversion between liters and milliliters?

Think of it this way: milli means "thousand," so there are 1000 milliliters in 1 liter. It's like saying 1000 millimeters = 1 meter!

Q: Is there a shortcut for converting milliliters to liters?

Yes! Just move the decimal point 3 places to the left. So 1500 mL becomes 1.500 L (or 1.5 L). This works because you're dividing by 1000.

Q: How can I check if my conversion is correct?

Convert back the other way! If 1500 mL = 1.5 L, then 1.5 × 1000 should equal 1500. If it matches, your conversion is right!

Unit Conversion with Volume Measurements

Peter drank 1.1 liters and 1500 milliliters of water. How many liters did he drink in total?

$1.1_l+1500_{ml}=$

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Step-by-step video solution

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Step-by-step written solution

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Understand the problem

Peter drank 1.1 liters and 1500 milliliters of water. How many liters did he drink in total?

$1.1_l+1500_{ml}=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Convert milliliters to liters.
Step 2: Add the liters together.

Now, let's work through each step:
Step 1: Convert 1500 milliliters to liters. Since 1 liter = 1000 milliliters, we have: $\frac{1500}{1000} = 1.5$ liters.
Step 2: Add 1.1 liters and 1.5 liters:
$1.1 + 1.5 = 2.6$ liters.

Therefore, the total amount of water Peter drank is $2.6$ liters.

Final Answer

$2.6l$

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: 1 liter equals 1000 milliliters for all calculations
Technique: Convert 1500 mL to liters: $\frac{1500}{1000} = 1.5$ L
Check: Final answer 2.6 L equals 2600 mL total ✓

Common Mistakes

Avoid these frequent errors

Adding different units without converting first
Don't add 1.1 + 1500 = 1501.1 directly! This mixes liters and milliliters, giving a meaningless result. Always convert to the same unit first: either all liters or all milliliters before adding.

Practice Quiz

Test your knowledge with interactive questions

Convert $$ 16,848dm^3 $$ into liters.

FAQ

Everything you need to know about this question

Do I always have to convert to liters, or can I convert to milliliters instead?

You can convert either way! Convert 1.1 L to 1100 mL, then add: 1100 + 1500 = 2600 mL. Just make sure your final answer matches what the question asks for.

How do I remember the conversion between liters and milliliters?

Think of it this way: milli means "thousand," so there are 1000 milliliters in 1 liter. It's like saying 1000 millimeters = 1 meter!

What if I forget to convert and just add the numbers?

You'll get a completely wrong answer! Adding 1.1 + 1500 = 1501.1 doesn't make sense because you're mixing different units. Always check that your units match before calculating.

Is there a shortcut for converting milliliters to liters?

Yes! Just move the decimal point 3 places to the left. So 1500 mL becomes 1.500 L (or 1.5 L). This works because you're dividing by 1000.

How can I check if my conversion is correct?

Convert back the other way! If 1500 mL = 1.5 L, then 1.5 × 1000 should equal 1500. If it matches, your conversion is right!

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