Multiplication with Money: Calculate Total Cost of 100 Chip Packets at $0.50 Each

Q: What does 'half a dollar' mean exactly?

Half a dollar means $0.50 or 50 cents. Think of it as cutting a dollar bill in half - each piece is worth 50 cents!

Q: Why do I multiply 0.5 × 100?

You're finding the total cost of multiple items. The formula is: Total Cost = Price per Item × Number of Items. So $0.50 × 100 packets = $50 total.

Q: Can I solve this without decimals?

Yes! You can think of it as: 50 cents × 100 = 5000 cents. Then convert: 5000 cents ÷ 100 = $50. Both methods work!

Q: How do I check if $50 is reasonable?

Think practically: 100 items at 50 cents each should cost about half of what 100 items at $1 each would cost. Since 100 × $1 = $100, half of that is $50. Makes sense!

Q: What if the problem used different numbers?

The same method works! Always use: Unit Price × Quantity = Total Cost. For example: 75 packets at $0.25 each = $0.25 × 75 = $18.75.

Money Multiplication with Decimal Values

A packet of potato chips costs half a dollar. A teacher buys enough packets for 100 students to have one each. How much did she pay in total?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

A packet of potato chips costs half a dollar. A teacher buys enough packets for 100 students to have one each. How much did she pay in total?

Step-by-step solution

To solve this problem, we need to calculate the total cost paid by the teacher for the packets of potato chips. Here's how we approach it:

Step 1: Identify the given information:

Each packet costs $0.5$ dollars.
There are 100 packets required.

Step 2: Determine the total cost:

We use the formula for total cost:

$\text{Total Cost} = \text{Cost per Packet} \times \text{Number of Packets}$

Substitute the given values into the formula:

$\text{Total Cost} = 0.5 \times 100$

Perform the calculation:

$\text{Total Cost} = 50$

Therefore, the teacher paid a total of $50$ dollars for all the packets of potato chips.

Final Answer

$\( 50$

Key Points to Remember

Essential concepts to master this topic

Formula: Total cost equals unit price times number of items
Technique: Convert half dollar to $0.5 \times 100 = 50$
Check: Verify: 100 packets at $0.50 each =$ 50 total ✓

Common Mistakes

Avoid these frequent errors

Converting half a dollar incorrectly
Don't think half a dollar equals $0.05 or 5 cents =$ 5 total instead of $50! Half means 0.5, not 0.05. Always remember that half a dollar is 50 cents or$ 0.50.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

What does 'half a dollar' mean exactly?

Half a dollar means $0.50 or 50 cents. Think of it as cutting a dollar bill in half - each piece is worth 50 cents!

Why do I multiply 0.5 × 100?

You're finding the total cost of multiple items. The formula is: Total Cost = Price per Item × Number of Items. So $0.50 × 100 packets =$ 50 total.

Can I solve this without decimals?

Yes! You can think of it as: 50 cents × 100 = 5000 cents. Then convert: 5000 cents ÷ 100 = $50. Both methods work!

How do I check if $50 is reasonable?

Think practically: 100 items at 50 cents each should cost about half of what 100 items at $1 each would cost. Since 100 ×$ 1 = $100, half of that is$ 50. Makes sense!

What if the problem used different numbers?

The same method works! Always use: Unit Price × Quantity = Total Cost. For example: 75 packets at $0.25 each =$ 0.25 × 75 = $18.75.

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