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📚 Topic Summary
Percentages are just fractions or ratios out of 100! The word "percent" means "per hundred." So, 25% is the same as 25/100, which can be simplified to 1/4. Applying percentages involves finding a percentage *of* a number (like 20% of 50) or figuring out what percentage one number is *of* another (like, what percentage of 50 is 10?). We also use percentages to calculate increases (like adding sales tax) and decreases (like applying a discount).
🗂️ Part A: Vocabulary
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Percent | A. The original amount before any increase or decrease. |
| 2. Discount | B. A decrease in the original price of an item. |
| 3. Base | C. Parts per hundred. |
| 4. Sales Tax | D. An amount added to the purchase price, usually a percentage of the price. |
| 5. Percentage | E. A rate, number, or amount in each hundred. |
Match the term number to the definition letter (e.g., 1-C).
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words: increase, 100, percent, fraction, and decrease.
A ___________ is a way of expressing a number as a part of __________. To find a ___________ of a number, you multiply the number by the ___________ expressed as a decimal or __________. A percentage can represent an ___________ or a ___________ in value.
🤔 Part C: Critical Thinking
Sarah wants to buy a new bike that costs $200. The store is offering a 15% discount. How much will the bike cost after the discount is applied? Show your work and explain why you chose your method for solving the problem. Consider the steps needed to solve the problem and why each step is important for getting the final answer.
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