Opposites & Absolute Value - Pre Algebra

1. What is the opposite of $-8$?

   $8$. It is $8$ units from $0$ on the positive side.

2. What is $|-3| + |5|$?

   $8$. Compute $3 + 5$.

3. What is $|-15|$?

   $15$. The number $-15$ is $15$ units from $0$.

4. Which number is its own opposite?

   $0$. It is the only number that is $0$ units from $0$.

5. What is $-|6|$?

   $-6$. Find $|6| = 6$ first, then take its opposite.

6. What is the distance between $-4$ and $3$ on a number line?

   $7$ units. Compute $|3 - (-4)| = |7|$.

7. What does the absolute value of a number measure?

   Its distance from $0$ on a number line. Because it is a distance, it is never negative.

8. What is $-(-4)$?

   $4$. The opposite of $-4$ is $4$.

9. An account balance is negative 25 dollars. What does the absolute value of the balance describe?

   The size of the debt: 25 dollars owed.

10. What is the opposite of a number?

    The number the same distance from $0$ on the other side of $0$. For example, the opposite of $5$ is $-5$.

11. Which numbers have an absolute value of $9$?

    $9$ and $-9$. Both are $9$ units from $0$.

12. One point is at an elevation of $-30$ feet and another at $20$ feet. Which is farther from sea level?

    The point at $-30$ feet, since $|-30| = 30$ is greater than $|20| = 20$.

Study these flashcards