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Lesson 17: The Number Line: Fractions and Mixed Numbers — Practice Questions

  1. 1. A pencil is measured against a ruler divided into sixteenths. The tip is past the 2-inch mark and lines up with the 7th small mark after it. What is the pencil's length? ___ inches

  2. 2. A piece of wood measures $5\frac{3}{4}$ inches long. If you measure this with a ruler marked in sixteenths of an inch, what would the equivalent measurement be?

    • A. $5\frac{3}{16}$ inches
    • B. $5\frac{7}{16}$ inches
    • C. $5\frac{12}{16}$ inches
    • D. $5\frac{13}{16}$ inches
  3. 3. On a standard ruler, which fractional mark is located exactly halfway between the $\frac{1}{4}$-inch mark and the $\frac{1}{2}$-inch mark? ___ -inch mark

  4. 4. A point is exactly halfway between integers 9 and 10 on a number line. If this space is divided into 8 equal segments, which mixed number represents the point?

    • A. $9\frac{1}{2}$
    • B. $9\frac{1}{8}$
    • C. $9\frac{2}{8}$
    • D. $9\frac{4}{8}$
  5. 5. A line segment is $\frac{3}{4}$ of an inch long. This is equivalent to $\frac{\_\_\_}{16}$ of an inch.

  6. 6. A point on a number line is between 5 and 6. The space is divided into 9 equal parts. If the point is on the fourth mark past 5, it represents the mixed number ___.

  7. 7. A point is located between 7 and 8. The space is divided into 10 equal parts, and the point is on the eighth mark after 7. What mixed number does this point represent?

    • A. $7\frac{8}{10}$
    • B. $7\frac{3}{5}$
    • C. $7\frac{4}{5}$
    • D. $8\frac{2}{10}$
  8. 8. On a number line, the space between -2 and -3 is divided into 5 equal segments. A point is on the third mark from -2 towards -3. This point represents the number ___.

  9. 9. What mixed number represents the point that is located exactly halfway between the whole numbers 12 and 13 on a number line?

    • A. $12\frac{1}{4}$
    • B. $12\frac{1}{2}$
    • C. $13\frac{1}{2}$
    • D. $12\frac{2}{3}$
  10. 10. A point is located at the mixed number $9\frac{2}{7}$ on a number line. Between which two consecutive whole numbers is this point located?

    • A. Between 8 and 9
    • B. Between 9 and 10
    • C. Between 2 and 7
    • D. Exactly on 9