๐ Topic Summary
A percent is essentially a ratio that compares a number to 100. The word "percent" means "per hundred," so when we say 50%, we're saying 50 out of every 100. This can be written as a fraction ($\frac{50}{100}$), a decimal (0.50), or a ratio (50:100). Understanding this connection allows us to easily convert between these different forms and solve various problems involving proportions and comparisons.
For example, if a store offers a 20% discount, it means you save 20 dollars for every 100 dollars you spend. Expressing percentages as ratios helps simplify calculations and provides a clear understanding of proportional relationships. This is especially useful in comparing different quantities and understanding relative sizes.
๐ค Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Percent |
A. A comparison of two quantities |
| 2. Ratio |
B. A ratio that compares a number to 100 |
| 3. Proportion |
C. Part of a whole expressed as a fraction of 100 |
| 4. Fraction |
D. An equation stating that two ratios are equal |
| 5. Decimal |
E. A number expressed in base 10 using a decimal point |
Answers:
- ๐ฏ 1 - B
- ๐ก 2 - A
- ๐ 3 - D
- โ 4 - C
- ๐ 5 - E
โ๏ธ Part B: Fill in the Blanks
Fill in the missing words in the following paragraph:
A ______ is a comparison of two numbers. A ______ is a special type of ratio that compares a number to ______. Therefore, 75% is the same as the ratio ______:100.
Answers:
- ๐ Ratio
- ๐ข Percent
- ๐ 100
- ๐ 75
๐ค Part C: Critical Thinking
Explain, in your own words, how understanding percentages as ratios can help you in everyday situations. Provide at least two examples.