Calculate Total: 4 Ten-Cent and 7 Five-Cent Coins Addition Problem

Q: Why do I need to multiply instead of just adding the coins?

Because we need the total value, not just the total number of coins! Each coin type has a different worth, so $ 4 \times 10 \text{ cents} $ gives us the value of the ten-cent coins.

Q: What if the answer choices are in cents instead of dollars?

Then keep your final answer in cents! $ 40 + 35 = 75 \text{ cents} $ instead of converting to $ 0.75 \text{ dollars} $. Always match the format requested.

Q: How do I remember which operation to use?

Think: "How many groups × value per group = total value". For 4 ten-cent coins, you have 4 groups of 10 cents each, so multiply!

Coin Value Addition with Decimal Conversion

If Ivan has $4$ coins; each with a value of $10$ cents and $7$ coins; each with a value of $5$ cents.

How much money does Ivan have in total?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

If Ivan has $4$ coins; each with a value of $10$ cents and $7$ coins; each with a value of $5$ cents.

How much money does Ivan have in total?

Step-by-step solution

First, let's calculate the value of 4 coins $4\times10=40$

Since one dollar has a value of 100 cents , 40 cents equals 0.4 dollars

Now let's calculate the value of 7 coins each with a value of 5 cents:

$7\times5=35$

Since one dollar has a value of 100 cents, 35 cents equals 0.35 dollars

Finally, let's add the amounts together:

$0.4+0.35=0.75$

Ivan has a total of 0.75 shekels

Final Answer

$0.75$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply quantity by value to find each coin type total
Technique: Convert cents to dollars: $40 \text{ cents} = 40 \div 100 = 0.40 \text{ dollars}$
Check: Verify total: $40 + 35 = 75 \text{ cents} = 0.75 \text{ dollars}$ ✓

Common Mistakes

Avoid these frequent errors

Adding coins instead of multiplying by value
Don't add 4 + 7 = 11 coins as the final answer! This only counts the quantity, not the monetary value. Always multiply each coin quantity by its individual value, then add the totals together.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why do I need to multiply instead of just adding the coins?

Because we need the total value, not just the total number of coins! Each coin type has a different worth, so $4 \times 10 \text{ cents}$ gives us the value of the ten-cent coins.

When do I convert cents to dollars?

You can work entirely in cents and convert at the end, or convert each group separately. Both methods work! Just stay consistent throughout your calculation.

What if the answer choices are in cents instead of dollars?

Then keep your final answer in cents! $40 + 35 = 75 \text{ cents}$ instead of converting to $0.75 \text{ dollars}$ . Always match the format requested.

How do I remember which operation to use?

Think: "How many groups × value per group = total value". For 4 ten-cent coins, you have 4 groups of 10 cents each, so multiply!

Can I solve this problem in a different order?

Yes! You can calculate the five-cent coins first, then the ten-cent coins. The final sum will be the same regardless of which coin type you start with.

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