Testinar Grade 3 math

Representing 1/b on a Number Line

Students will represent a unit fraction on a number line by partitioning the whole into equal lengths.

CH03-03 Fractions
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A number line from \(0\) to \(1\) is divided into \(5\) equal parts. What is the length of each part?

    1. \(\frac{1}{5}\)
    2. \(\frac{5}{5}\)
    3. \(\frac{5}{1}\)
    4. \(\frac{1}{1}\)

  2. A number line from \(0\) to \(1\) is divided into \(4\) equal parts. Which fraction names the first tick mark after \(0\)?

    Representing 1/b on a Number Line visual for G3-C03-T03-Q002
    1. \(\frac{1}{4}\)
    2. \(\frac{1}{2}\)
    3. \(\frac{1}{3}\)
    4. \(\frac{2}{4}\)

  3. If a number line from \(0\) to \(1\) is split into \(3\) equal parts, what fraction marks the first partition?

    1. \(\frac{1}{2}\)
    2. \(\frac{1}{3}\)
    3. \(\frac{1}{4}\)
    4. \(\frac{1}{5}\)

  4. A number line shows \(0\) and \(1\) divided in half (into 2 equal parts). The first tick mark is at which fraction?

    Representing 1/b on a Number Line visual for G3-C03-T03-Q004
    1. \(\frac{1}{2}\) (the unit fraction)
    2. \(\frac{1}{3}\) (wrong denominator)
    3. \(\frac{2}{2}\) (the whole)
    4. \(\frac{1}{4}\) (too many parts)

  5. A number line from \(0\) to \(1\) is divided into \(6\) equal parts. What is the distance between \(0\) and the first tick?

    1. \(\frac{1}{6}\)
    2. \(\frac{6}{1}\)
    3. \(\frac{2}{6}\)
    4. \(\frac{3}{6}\)

  6. A number line from \(0\) to \(1\) is split into \(8\) equal parts. Mark where \(\frac{1}{8}\) is located. Which tick mark shows \(\frac{1}{8}\)?

    Representing 1/b on a Number Line visual for G3-C03-T03-Q006
    1. The second tick
    2. The first tick
    3. The middle tick
    4. The last tick

  7. Sam divides a number line from \(0\) to \(1\) into \(4\) equal parts. How many parts are between \(0\) and the second tick mark?

    1. 1
    2. 2
    3. 3
    4. 4

  8. Ava draws two number lines from \(0\) to \(1\). One is split into \(3\) equal parts; the other is split into \(4\) equal parts. Which unit fraction represents a smaller piece?

    1. \(\frac{1}{3}\)
    2. \(\frac{1}{4}\)
    3. Both are equal
    4. Cannot tell
Teacher and parent reference

Answer key and explanations

  1. A. \(\frac{1}{5}\)

    When the interval from \(0\) to \(1\) is split into \(5\) equal parts, each part has length \(\frac{1}{5}\).

  2. A. \(\frac{1}{4}\)

    The first tick is at one of four equal parts, which is \(\frac{1}{4}\).

  3. B. \(\frac{1}{3}\)

    Splitting from \(0\) to \(1\) into three equal parts gives \(\frac{1}{3}\) for each.

  4. A. \(\frac{1}{2}\) (the unit fraction)

    Divided in half means 2 equal parts. The first tick is at the unit fraction \(\frac{1}{2}\).

  5. A. \(\frac{1}{6}\)

    When dividing into 6 equal parts, each part is \(\frac{1}{6}\) of the whole.

  6. B. The first tick

    The number line has 8 equal parts, so the first tick is at \(\frac{1}{8}\).

  7. B. 2

    The second tick is two of the four equal parts from \(0\).

  8. B. \(\frac{1}{4}\)

    More parts means smaller pieces. When the same line is split into more parts, each part is smaller. \(\frac{1}{4} < \frac{1}{3}\).

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