Calculate Total: 8 Ten-Cent and 5 Five-Cent Coins to Euros

Q: Why do I need to convert cents to euros?

The question asks for the answer in euros, not cents. Since 100 cents = 1 euro, you must divide your cent total by 100 to get the proper euro amount.

Q: Can I convert each coin type separately?

Yes! You can convert 8×10=80 cents to 0.8 euros, then 5×5=25 cents to 0.25 euros, then add: 0.8 + 0.25 = 1.05 euros. This often helps avoid mistakes!

Q: What if I forget the decimal point?

Without the decimal point, your answer would be 100 times too large! Always remember: cents ÷ 100 = euros, so 105 cents becomes 1.05 euros, not 105 euros.

Q: How do I know when to use multiplication?

Use multiplication when you have multiple coins of the same value. Here: 8 ten-cent coins means $ 8 \times 10 $ cents, and 5 five-cent coins means $ 5 \times 5 $ cents.

Q: Should I round my final answer?

In this problem, no rounding needed! 1.05 is already exact. But always check if the problem asks for rounding to a specific number of decimal places.

Currency Conversion with Cent-to-Euro Calculations

Edward has 8 coins worth 10 cents each and 5 coins worth 5 cents each.
How much money does he have in total, expressed in euros?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Edward has 8 coins worth 10 cents each and 5 coins worth 5 cents each.
How much money does he have in total, expressed in euros?

Step-by-step solution

First, let's calculate how many euros are 8 ten- cents coins:

$8\times10=80$

Since one euro has 100 cents, 80 cents equals 0.8 euros

Now let's calculate how many are 5 five-cent coins:

$5\times5=25$

Since one euro has 100 cents, 25 cents equals 0.25 euros

Finally, let's add the amounts of euros together:

$0.8+0.25=1.05$

Edward has one euro and 5 cents, meaning: 1.05 euros in total

Final Answer

€ $1.05$

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: Divide cents by 100 to get euros
Technique: Calculate $8 \times 10 = 80$ cents then convert to 0.8 euros
Check: 80 + 25 = 105 cents = 1.05 euros ✓

Common Mistakes

Avoid these frequent errors

Adding euros and cents directly without conversion
Don't add 80 cents + 25 cents = 105 euros! This gives an answer 100 times too large because you forgot to convert cents to euros. Always divide the total cents by 100 to get the correct euro amount.

Practice Quiz

Test your knowledge with interactive questions

Are they the same numbers?

$0.23\stackrel{?}{=}0.32$

FAQ

Everything you need to know about this question

Why do I need to convert cents to euros?

The question asks for the answer in euros, not cents. Since 100 cents = 1 euro, you must divide your cent total by 100 to get the proper euro amount.

Can I convert each coin type separately?

Yes! You can convert 8×10=80 cents to 0.8 euros, then 5×5=25 cents to 0.25 euros, then add: 0.8 + 0.25 = 1.05 euros. This often helps avoid mistakes!

What if I forget the decimal point?

Without the decimal point, your answer would be 100 times too large! Always remember: cents ÷ 100 = euros, so 105 cents becomes 1.05 euros, not 105 euros.

How do I know when to use multiplication?

Use multiplication when you have multiple coins of the same value. Here: 8 ten-cent coins means $8 \times 10$ cents, and 5 five-cent coins means $5 \times 5$ cents.

Should I round my final answer?

In this problem, no rounding needed! 1.05 is already exact. But always check if the problem asks for rounding to a specific number of decimal places.

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