🔑 Key Concepts
- A discount means the price is reduced by a certain percent of the original price.
- To find the amount of a discount, multiply the original price by the discount percent written as a decimal.
- To find the sale price, subtract the discount amount from the original price.
- You can also find the sale price directly by multiplying by the percent you still pay.
- When money is involved, round to the nearest cent, which means round to the nearest hundredth.
✏️ Worked Examples
🧠 Math Vocabulary
- Original Price: the price of an item before any discount is taken off.
- Discount: the amount or percent taken off the original price.
- Sale Price: the amount the customer actually pays after the discount.
- Percent: a ratio out of 100.
- Nearest Cent: rounding to the nearest hundredth place when working with money.
💡 Main Idea
Discount problems are percent problems that help us find how much money is taken off an original price and how much a customer will pay in the end. You can solve these problems in more than one correct way. Some students prefer to find the discount amount first and subtract, while others prefer to find the percent of the price that remains. Both strategies are useful, and both help build strong understanding of percent applications in real-world shopping situations.
📚 What You Should Already Know
Before working with discounts, students should know how to convert a percent to a decimal, find a percent of a number by multiplying, and round decimal answers to the nearest hundredth. It also helps to understand that a percent describes part of a whole out of 100.
🚀 What Comes Next
After learning how to solve discount problems, students are ready to explore other percent change applications such as percent increase, markup, markdown, sales tax, tip, and simple interest. These topics build on the same idea of finding a percent of an amount and interpreting what that percent means in a real-world situation.
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