Lesson 1: Interpreting Negative Numbers — Practice Questions

1. 1. The absolute value of an integer is its distance from zero on the number line. What is the value of $|-18|$? The value is ___.

2. 2. Two integers are opposites. If one of the integers is -23, what is the other integer?

   • A. 23
   • B. -23
   • C. 0
   • D. 46

3. 3. The expression $-(-a)$ means the opposite of a negative number. Simplify the expression $-(-31)$ to find its value. The value is ___.

4. 4. Which statement correctly compares the absolute values of the integer 15 and its opposite, -15?

   • A. |15| > |-15|
   • B. |15| < |-15|
   • C. |15| = |-15|
   • D. |15| = -|15|

5. 5. On a number line, the opposite of a positive integer is a negative integer. What is the opposite of the integer 50? The opposite is ___.

6. 6. Fill in the blank with the correct symbol ($<, =, >$) to compare the numbers: $-12$ ___ $3$.

7. 7. Fill in the blank with the correct symbol ($<, =, >$) to compare the numbers: $-9$ ___ $-4$.

8. 8. The statement $-6 > -11$ is true. What does this mean about their positions on a number line?

   • A. $-6$ is to the left of $-11$.
   • B. $-6$ is to the right of $-11$.
   • C. $-6$ and $-11$ are at the same position.
   • D. $-6$ is closer to $0$ than $11$.

9. 9. Which of the following statements correctly compares the numbers $-15$ and $-5$?

   • A. $-15 > -5$
   • B. $-15 < -5$
   • C. $-15 = -5$
   • D. $15 < 5$

10. 10. If number $x$ is to the left of number $y$ on the number line, which statement must be true?

    • A. $x > y$
    • B. $x < y$
    • C. $x = y$
    • D. The relationship cannot be determined.