Saturday, June 22, 2024

How to calculate discounts

Calculating Discounts: A Guide for 7th and 8th Graders


Hey there! Ever wonder how much you'll save when your favorite sneakers go on sale? Or how to figure out the final price of a cool new video game that's 25% off? Understanding discounts is super useful and pretty easy once you get the hang of it. Let's dive in and learn how to calculate discounts!

What is a discount?

A discount is a reduction in the price of a good or service. Stores use discounts to attract customers, and they usually express discounts as a percentage. For example, if an item is 20% off, that means you pay 20% less than the original price.

How to calculate a discount

To calculate the discount amount, follow these simple steps:
  • Find the original price: This is the price before any discounts.
  • Determine the discount percentage: This is the percentage off the original price.
  • Convert the percentage to a decimal: Divide the discount percentage by 100.
  • Multiply the original price by the decimal: This gives you the discount amount.
  • Subtract the discount amount from the original price: This gives you the final price.

Example 1: Basic Calculation

Imagine you want to buy a t-shirt that costs $20, and it's on sale for 25% off. How much will you pay?

Original Price: $20
Discount Percentage: 25%
Convert to Decimal: 25% ÷ 100 = 0.25
Calculate Discount Amount: $20 × 0.25 = $5
Find Final Price: $20 - $5 = $15

So, you'll pay $15 for the t-shirt!

Example 2: Using a Calculator

Now let's say you want to buy a pair of shoes that costs $50, and they are 30% off. Here’s how to do it quickly with a calculator:

Original Price: $50
Discount Percentage: 30%
Convert to Decimal: 30% ÷ 100 = 0.30
Calculate Discount Amount: $50 × 0.30 = $15
Find Final Price: $50 - $15 = $35

So, the shoes will cost you $35.

Example 3: Mental Math Shortcut

For a quick estimation without a calculator, you can use some mental math tricks. If an item is 10% off, just move the decimal point one place to the left.

Let's try it with a $30 video game at 10% off:

Original Price: $30
10% Discount: Move the decimal one place left: $30 becomes $3
Calculate Discount Amount: $30 - $3 = $27

So, the video game costs $27 after the discount.

Practice problems

Try calculating the discounts for these items:
  • A book costs $15 and is 20% off. What's the final price?
  • A backpack costs $40 and is 15% off. How much will you pay?
  • A skateboard costs $60 and is 50% off. What's the new price?
Tips for shopping smart
  • Always check the original price before calculating the discount.
  • Compare prices at different stores to make sure you're getting the best deal.
  • Double-check your math to avoid mistakes and surprises at the checkout.

Calculating discounts is a handy skill that helps you save money and make smart shopping decisions. With a little practice, you can easily figure out how much you're saving on sales and special offers. Happy shopping, and keep practicing your math skills!

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