📚 Quick Study Guide
🔢 Definition: The absolute value of a number is its distance from zero on the number line. It is always a non-negative value.
📏 Notation: The absolute value of a number $x$ is written as $|x|$.
➕ Positive Numbers: The absolute value of a positive number is the number itself. For example, $|5| = 5$.
➖ Negative Numbers: The absolute value of a negative number is its opposite (positive). For example, $|-3| = 3$.
0️⃣ Zero: The absolute value of zero is zero. $|0| = 0$.
💡 Key Concept: Absolute value only cares about the *distance*, not the direction (positive or negative).
🧪 Practice Quiz
- Question 1: What is the absolute value of -7?
- A) -7
- B) 7
- C) 0
- D) 14
- Question 2: What is the absolute value of 12?
- A) -12
- B) 0
- C) 12
- D) 24
- Question 3: What is the value of $|-4| + |2|$?
- A) -6
- B) 2
- C) 6
- D) -2
- Question 4: What is the absolute value of 0?
- A) 1
- B) -1
- C) 0
- D) Undefined
- Question 5: Which of the following has an absolute value of 9?
- A) -9 only
- B) 9 only
- C) Both -9 and 9
- D) Neither -9 nor 9
- Question 6: Solve for $x$: $|x| = 6$
- A) $x = 6$ only
- B) $x = -6$ only
- C) $x = 6$ or $x = -6$
- D) $x = 0$
- Question 7: What is $|-5| - |3|$?
- A) -8
- B) -2
- C) 2
- D) 8
Click to see Answers
1. B
2. C
3. C
4. C
5. C
6. C
7. C