4-4 Rational Numbers — Practice Questions

1. 1. When placing the fraction $\frac{4}{7}$ on a number line, into how many equal parts should the interval from $0$ to $1$ be divided?

   • A. 4
   • B. 7
   • C. 1
   • D. 11

2. 2. To locate $\frac{3}{5}$ on a number line, you divide the interval from $0$ to $1$ into $5$ equal parts. How many of these parts do you take from the origin? ___

3. 3. Where is the number $-\frac{2}{3}$ located on a number line?

   • A. Between $0$ and $1$, two-thirds of the way from $0$
   • B. Between $0$ and $-1$, two-thirds of the way from $0$
   • C. Between $-1$ and $-2$, one-third of the way from $-1$
   • D. At the point $-2$

4. 4. The integer $-5$ is located ___ units to the left of the origin on a number line.

5. 5. Which statement best describes the location of the number $-2.5$ on a number line?

   • A. At the midpoint of the interval between $-2$ and $-1$
   • B. At the midpoint of the interval between $-3$ and $-2$
   • C. Closer to $-2$ than to $-3$
   • D. At the point $-3$

6. 6. A number and its opposite have the same absolute value. If $|x| = 31$ and $|-31| = 31$, what is the opposite of $31$? The opposite is ___.

7. 7. Which statement correctly describes the relationship between a number and its absolute value?

   • A. The absolute value of a number is always positive.
   • B. The absolute value of a number is its distance from 0.
   • C. A number and its absolute value are always different.
   • D. The absolute value is found by multiplying the number by -1.

8. 8. A diver is at a position of $-120$ feet relative to sea level. The magnitude of this depth, represented by its absolute value, is ___ feet.

9. 9. Which of the following pairs of numbers have the same absolute value?

   • A. $-8$ and $8$
   • B. $-8$ and $\frac{1}{8}$
   • C. $8$ and $0$
   • D. $-8$ and $-16$

10. 10. The absolute value of a number is its distance from zero. What is the value of $|-19.5|$? The value is ___.