📚 Topic Summary
Rational numbers are numbers that can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$. Mastering operations (addition, subtraction, multiplication, and division) with rational numbers is crucial in Grade 8 math. This worksheet provides practice with these operations, reinforcing your understanding and boosting your problem-solving skills. Whether you are adding fractions, multiplying decimals, or dividing mixed numbers, this activity sheet will solidify your knowledge.
Remember that to add or subtract rational numbers, they must have a common denominator. To multiply rational numbers, simply multiply the numerators and the denominators. To divide rational numbers, invert the second number (the divisor) and then multiply.
🧮 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Numerator |
A. The number below the fraction bar |
| 2. Denominator |
B. A number that can be expressed as a fraction |
| 3. Rational Number |
C. The top number of a fraction |
| 4. Reciprocal |
D. Changing a decimal to a fraction |
| 5. Conversion |
E. Flipping the numerator and denominator of a fraction |
✍️ Part B: Fill in the Blanks
Complete the paragraph below using the words: denominator, numerator, reciprocal, rational, and operation.
A ______ number can be expressed as a fraction. When dividing fractions, you multiply by the ______ of the second fraction. The top part of a fraction is called the ______, and the bottom part is called the ______. Each mathematical action such as addition, subtraction, multiplication or division is called an _____.
🤔 Part C: Critical Thinking
Explain in your own words why it is important to have a common denominator when adding or subtracting fractions.