Test Questions on Defining Rational Numbers (7th Grade Assessment)

📚 Quick Study Guide

• 🔢 Rational numbers can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$.
• ➕ Subtracting or adding rational numbers: Ensure you have a common denominator!
• ➗ Dividing rational numbers: Multiply by the reciprocal of the divisor.
• ⭐ Integers, fractions, terminating decimals, and repeating decimals are all examples of rational numbers.
• 💡 To convert a fraction to a decimal, divide the numerator by the denominator.

✏️ Practice Quiz

1. Which of the following is NOT a rational number?
   1. A. -5
   2. B. 0.75
   3. C. $\sqrt{2}$
   4. D. $\frac{1}{3}$
2. Which of the following numbers is a rational number?
   1. A. π
   2. B. $\sqrt{3}$
   3. C. $\sqrt{16}$
   4. D. 3.14159265... (non-repeating)
3. Express 0.4 as a fraction in its simplest form.
   1. A. $\frac{4}{10}$
   2. B. $\frac{2}{5}$
   3. C. $\frac{1}{4}$
   4. D. $\frac{40}{100}$
4. Which of the following is equivalent to $\frac{3}{8}$?
   1. A. 0.3
   2. B. 0.375
   3. C. 0.4
   4. D. 0.625
5. What is -2.5 expressed as an improper fraction?
   1. A. -$\frac{5}{2}$
   2. B. -$\frac{2}{5}$
   3. C. $\frac{5}{2}$
   4. D. $\frac{2}{5}$
6. Which set of numbers are all rational numbers?
   1. A. {$\sqrt{4}$, 5, -2, $\frac{1}{2}$}
   2. B. {$\sqrt{2}$, 3, -1, $\frac{1}{4}$}
   3. C. {$\sqrt{9}$, $\pi$, 0, $\frac{2}{3}$}
   4. D. {$\sqrt{5}$, 1, -6, $\frac{3}{4}$}
7. Simplify: $\frac{1}{4}$ + $\frac{2}{8}$ - $\frac{1}{2}$?
   1. A. $\frac{1}{2}$
   2. B. $\frac{1}{4}$
   3. C. 0
   4. D. -$\frac{1}{4}$