Solve: (55/5) × 200kg to Tonnes Conversion Problem

Q: Should I convert kilograms to tonnes first or multiply first?

Always multiply first! Keep everything in kilograms until the end. Converting early creates decimals like 0.2T that are harder to work with and increase your chance of making calculation errors.

Q: How do I remember the conversion from kg to tonnes?

Remember: 1 tonne = 1000 kg. Think of it like this - a tonne is huge, so it takes 1000 of the smaller kilograms to make one tonne. To convert kg to tonnes, divide by 1000.

Q: What if I get confused with the order of operations?

Use PEMDAS/BODMAS! First simplify the fraction $ \frac{55}{5} $, then multiply by 200kg. The unit conversion happens after all arithmetic is complete.

Q: Why is 2200kg equal to 2.2 tonnes?

Because $ \frac{2200}{1000} = 2.2 $! When you divide by 1000, you move the decimal point 3 places to the left: 2200 becomes 2.200, which is 2.2 tonnes.

Q: Can I check my answer by working backwards?

Yes! Start with 2.2T: convert to kg by multiplying by 1000 = 2200kg. Then divide by 200 to get 11. Finally, check if $ \frac{55}{5} = 11 $ ✓

Unit Conversion with Fractional Operations

$\frac{55}{5}\times200\operatorname{kg}=?T$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\frac{55}{5}\times200\operatorname{kg}=?T$

Step-by-step solution

First, let's simplify the fraction:

$\frac{55}{5}=11$

This leaves us with:

$11\times200kg$

Now, let's perform the calculation, giving us:

$2200kg$

Note that we need the answer in tons:

$T=1000kg$

$\frac{2200kg}{1000}=2.2T$

Final Answer

2.2

Key Points to Remember

Essential concepts to master this topic

Order: Simplify fractions first, then multiply, then convert units
Technique: $\frac{55}{5} = 11$ , then $11 \times 200 = 2200\text{kg}$
Check: Verify unit conversion: $\frac{2200\text{kg}}{1000} = 2.2\text{T}$ ✓

Common Mistakes

Avoid these frequent errors

Converting to tonnes before completing the calculation
Don't convert 200kg to 0.2T first = wrong final answer of 2.2T! This makes the arithmetic more complex and prone to errors. Always complete all multiplication in the original units first, then convert at the end.

Practice Quiz

Test your knowledge with interactive questions

$$ 7kg=?gr $$

FAQ

Everything you need to know about this question

Should I convert kilograms to tonnes first or multiply first?

Always multiply first! Keep everything in kilograms until the end. Converting early creates decimals like 0.2T that are harder to work with and increase your chance of making calculation errors.

How do I remember the conversion from kg to tonnes?

Remember: 1 tonne = 1000 kg. Think of it like this - a tonne is huge, so it takes 1000 of the smaller kilograms to make one tonne. To convert kg to tonnes, divide by 1000.

What if I get confused with the order of operations?

Use PEMDAS/BODMAS! First simplify the fraction $\frac{55}{5}$ , then multiply by 200kg. The unit conversion happens after all arithmetic is complete.

Why is 2200kg equal to 2.2 tonnes?

Because $\frac{2200}{1000} = 2.2$ ! When you divide by 1000, you move the decimal point 3 places to the left: 2200 becomes 2.200, which is 2.2 tonnes.

Can I check my answer by working backwards?

Yes! Start with 2.2T: convert to kg by multiplying by 1000 = 2200kg. Then divide by 200 to get 11. Finally, check if $\frac{55}{5} = 11$ ✓

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Units of Measurement questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime