Convert Mixed Units: 8.24L + 160mL to Liters

Q: Why can't I just add 8.24 + 160 directly?

You can't add different units directly! It's like adding 8 cars + 160 wheels - they measure different things. You must convert to the same unit first.

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

Remember: milli means 1/1000, so 1000 milliliters = 1 liter. Think of it like 1000 pennies = 1 dollar!

Q: Should I convert liters to milliliters or milliliters to liters?

The problem asks for the answer in liters, so convert milliliters to liters. Always convert to the unit requested in the question.

Q: Do I need to show the zero at the end of 8.40?

No, 8.4 and 8.40 are the same value. You can write either one, but 8.4 is more common since trailing zeros after decimals are usually dropped.

Unit Conversion with Mixed Metric Units

Convert to liters:

$8.24_l+160_{ml}=$

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Understand the problem

Convert to liters:

$8.24_l+160_{ml}=$

Step-by-step solution

To solve this problem, we will convert the 160 milliliters to liters and then add this converted amount to 8.24 liters.

First, we convert 160 milliliters to liters. Knowing that $1 \text{ liter} = 1000 \text{ milliliters}$ , we perform the calculation:

\frac{160 \text{ ml}}{1000} = 0.16 \text{ liters}

Next, we add the converted volume to the initial 8.24 liters:

\text{Total volume in liters} = 8.24 \text{ liters} + 0.16 \text{ liters}

This gives us:

\text{Total volume} = 8.40 \text{ liters}

Thus, the final volume is $8.4 \, \text{liters}$ .

Therefore, the solution to the problem is $8.4 \, \text{l}$ , which matches choice 2.

Final Answer

$8.4l$

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: 1 liter equals 1000 milliliters for all problems
Technique: Divide milliliters by 1000: $\frac{160}{1000} = 0.16 \text{ L}$
Check: Convert back: 0.16 L × 1000 = 160 mL matches original ✓

Common Mistakes

Avoid these frequent errors

Adding units without converting first
Don't add 8.24 + 160 = 168.24 L without converting milliliters! This treats different units as the same and gives a massively wrong answer. Always convert to the same unit before adding.

Practice Quiz

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How many cm³ are there in a m³?

FAQ

Everything you need to know about this question

Why can't I just add 8.24 + 160 directly?

You can't add different units directly! It's like adding 8 cars + 160 wheels - they measure different things. You must convert to the same unit first.

How do I remember the conversion between liters and milliliters?

Remember: milli means 1/1000, so 1000 milliliters = 1 liter. Think of it like 1000 pennies = 1 dollar!

Should I convert liters to milliliters or milliliters to liters?

The problem asks for the answer in liters, so convert milliliters to liters. Always convert to the unit requested in the question.

What if I get a decimal answer - is that normal?

Yes! Decimal answers are completely normal in unit conversion. 8.4 liters is a perfectly valid measurement - many real-world measurements are decimals.

Do I need to show the zero at the end of 8.40?

No, 8.4 and 8.40 are the same value. You can write either one, but 8.4 is more common since trailing zeros after decimals are usually dropped.

How can I check my answer is reasonable?

Think logically: we started with about 8 liters and added a small amount (160 mL = 0.16 L). The answer should be slightly more than 8, which 8.4 L is!

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