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Describe how you would help your learners in a primary class to multiply the following using number line: 7 x 1/3, 10 x 2/5, 2 x 4/5, 3 x 1/3, 4 x 2/4.

Mathematics

ScanSolve AI Answer

Step-by-step solution

8 steps

A. 7×137 \times \frac{1}{3}

  1. Draw a number line starting from 0.

    Mark intervals of 13\frac{1}{3}.

    7×137 \times \frac{1}{3}
  2. Start at 0.

    Make 7 jumps of 13\frac{1}{3} each.

    After 1 jump: 0+13=130 + \frac{1}{3} = \frac{1}{3}

    After 2 jumps: 13+13=23\frac{1}{3} + \frac{1}{3} = \frac{2}{3}

    After 3 jumps: 23+13=33=1\frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1

    After 4 jumps: 1+13=431 + \frac{1}{3} = \frac{4}{3}

    After 5 jumps: 43+13=53\frac{4}{3} + \frac{1}{3} = \frac{5}{3}

    After 6 jumps: 53+13=63=2\frac{5}{3} + \frac{1}{3} = \frac{6}{3} = 2

    After 7 jumps: 2+13=732 + \frac{1}{3} = \frac{7}{3}

    Final answer: 73\boxed{\dfrac{7}{3}}

    B. 3×153 \times \frac{1}{5}

  3. Draw a number line starting from 0.

    Mark intervals of 15\frac{1}{5}.

    3×153 \times \frac{1}{5}
  4. Start at 0.

    Make 3 jumps of 15\frac{1}{5} each.

    After 1 jump: 0+15=150 + \frac{1}{5} = \frac{1}{5}

    After 2 jumps: 15+15=25\frac{1}{5} + \frac{1}{5} = \frac{2}{5}

    After 3 jumps: 25+15=35\frac{2}{5} + \frac{1}{5} = \frac{3}{5}

    Final answer: 35\boxed{\dfrac{3}{5}}

    C. 2×1102 \times \frac{1}{10}

  5. Draw a number line starting from 0.

    Mark intervals of 110\frac{1}{10}.

    2×1102 \times \frac{1}{10}
  6. Start at 0.

    Make 2 jumps of 110\frac{1}{10} each.

    After 1 jump: 0+110=1100 + \frac{1}{10} = \frac{1}{10}

    After 2 jumps: 110+110=210=15\frac{1}{10} + \frac{1}{10} = \frac{2}{10} = \frac{1}{5}

    Final answer: 15\boxed{\dfrac{1}{5}}

    D. 4×124 \times \frac{1}{2}

  7. Draw a number line starting from 0.

    Mark intervals of 12\frac{1}{2}.

    4×124 \times \frac{1}{2}
  8. Start at 0.

    Make 4 jumps of 12\frac{1}{2} each.

    After 1 jump: 0+12=120 + \frac{1}{2} = \frac{1}{2}

    After 2 jumps: 12+12=22=1\frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1

    After 3 jumps: 1+12=321 + \frac{1}{2} = \frac{3}{2}

    After 4 jumps: 32+12=42=2\frac{3}{2} + \frac{1}{2} = \frac{4}{2} = 2

    Final answer: 2\boxed{2}

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