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📚 Topic Summary
Rational numbers are numbers that can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$. Operations with rational numbers involve addition, subtraction, multiplication, and division, just like with integers. The key is to remember the rules for fractions and decimals.
When adding or subtracting rational numbers, you need a common denominator. For multiplication, you multiply the numerators and the denominators separately. For division, you flip the second fraction (the divisor) and then multiply. Let's practice!
🧠 Part A: Vocabulary
| Term | Definition |
|---|---|
| 1. Rational Number | a. The number above the fraction bar |
| 2. Numerator | b. A number that can be expressed as p/q, where p and q are integers and q ≠ 0 |
| 3. Denominator | c. The number below the fraction bar |
| 4. Reciprocal | d. The result of multiplying two numbers |
| 5. Product | e. Flipping a fraction so that the numerator becomes the denominator and vice versa |
Match each term with its correct definition.
✍️ Part B: Fill in the Blanks
When adding or subtracting rational numbers, it's essential to find a common __________. To multiply fractions, you multiply the __________ and the __________. Dividing by a fraction is the same as multiplying by its __________. A rational number can always be written as a __________ or a terminating or repeating __________. The set of rational numbers includes all __________ and __________.
🤔 Part C: Critical Thinking
Explain why understanding operations with rational numbers is important in everyday life. Give at least three real-world examples.
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