Calculate Price Reduction: Finding New Price After $49.90 Discount

Price Subtraction with Decimal Values

The price of a laptop mouse is 99.9.<br><br>Whatisitsnewpriceafterareductionof99.9. <br><br>What is its new price after a reduction of 49.9?

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Step-by-step written solution

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1

Understand the problem

The price of a laptop mouse is 99.9.<br><br>Whatisitsnewpriceafterareductionof99.9. <br><br>What is its new price after a reduction of 49.9?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information

  • Step 2: Apply the subtraction method to find the new price

  • Step 3: Verify the solution matches one of the multiple-choice options

Now, let's work through each step:
Step 1: The problem gives us an original price of \99.9 \) and a reduction of \49.9 \).

Step 2: We use subtraction to find the new price:
New Price=Original PriceReduction=99.949.9 \text{New Price} = \text{Original Price} - \text{Reduction} = 99.9 - 49.9

Aligning the decimal points and subtracting, we get:
9 9 in the hundredths place minus 9 9 results in 0 0 , and 9 9 in the tenths place minus 9 9 is 0 0 , and finally, 9 9 in the units position minus 4 4 is 5 5 .

The calculation gives us:

New Price=50.0 \text{New Price} = 50.0

Step 3: Comparing with the choices, we find that the new price, \50 \), corresponds to choice 3 3 : \50 \) .

Therefore, the solution to the problem is:
\ 50 \).

3

Final Answer

\( 50

Key Points to Remember

Essential concepts to master this topic
  • Formula: New Price = Original Price - Discount Amount
  • Technique: Align decimal points: 99.9 - 49.9 = 50.0
  • Check: Add discount to answer: \50 + \49.9 = \99.9 \)

Common Mistakes

Avoid these frequent errors
  • Mixing up addition and subtraction operations
    Don't add the discount to the original price = \99.9 + \49.9 = \149.8 \)! This gives you a higher price instead of a reduced price. Always subtract the discount from the original price to find the new lower price.

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FAQ

Everything you need to know about this question

Why do I subtract instead of add when finding a discount?

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A discount means the price goes down, so you subtract! Think of it as taking money away from the original price. If the laptop mouse costs \99.9 \) and you save \49.9 \), you pay less money.

What if my decimal subtraction doesn't line up correctly?

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Always align the decimal points vertically! Write 99.9 above 49.9 with the decimal points in the same column. This prevents errors when subtracting each place value.

How can I check if my answer makes sense?

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Ask yourself: Should the new price be lower than the original? Since \50 < \99.999.9 , our answer makes sense. Also verify: \50 + \$49.9 = \99.999.9

What does the .0 mean in 50.0?

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The .0 shows we have zero cents! \50.0 \) is the same as \50 \) - both mean exactly 50 dollars with no additional cents.

Why isn't the answer \49 \) or \50.9 \)?

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\49 \) would mean subtracting \50.9 \) instead of \49.9 \). \50.9 \) would mean adding instead of subtracting. Only \50 \) correctly shows 99.949.9 99.9 - 49.9 .

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