Percents
Percents is a Grade 8 math skill in Saxon Math Course 3, Chapter 2, where students convert between percents, decimals, and fractions, and solve percent problems involving finding the part, the whole, or the percent itself. Percent skills are critical for real-world applications including discounts, taxes, interest, and data interpretation.
Key Concepts
Property The word percent means per hundred . The denominator 100 is indicated by the word percent or by the symbol %. One hundred percent equals one whole, so $50\%$ means $\frac{50}{100}$.
Examples Twenty five percent is just a quarter in disguise: $25\% = \frac{25}{100} = \frac{1}{4}$. A perfect score is one whole thing: $100\% = \frac{100}{100} = 1$. A tiny slice of the pie: $5\% = \frac{5}{100} = \frac{1}{20}$.
Explanation Think of a percent as a secret identity for a fraction whose denominator is always 100. It's like a superhero's code name! Instead of saying you ate $\frac{1}{2}$ the pizza, you can sound fancier by saying you ate 50% of it. It’s all about showing parts of a whole, but with style.
Common Questions
How do you convert a percent to a decimal?
Divide the percent by 100 or move the decimal point two places to the left. For example, 45% becomes 0.45.
How do you find a percent of a number?
Convert the percent to a decimal and multiply by the number. For example, 30% of 80 = 0.30 x 80 = 24.
How do you find what percent one number is of another?
Divide the part by the whole and multiply by 100. For example, 18 is what percent of 72? 18 divided by 72 equals 0.25, and 0.25 x 100 = 25%.
What are common real-world uses of percents?
Percents are used to calculate sales discounts, sales tax, tips at restaurants, interest on loans, and to express statistics such as test scores and survey results.
Where are percents taught in Grade 8?
Percents are covered in Saxon Math Course 3, Chapter 2: Number and Operations and Geometry.