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
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.

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Answer

\dfrac{7}{3}

A. 7×137 \times \frac{1}{3}

Step 1: Draw a number line starting from 0. Mark intervals of 13\frac{1}{3}.

7×137 \times \frac{1}{3}

Step 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: \dfrac{7{3}}

B. 3×153 \times \frac{1}{5}

Step 1: Draw a number line starting from 0. Mark intervals of 15\frac{1}{5}.

3×153 \times \frac{1}{5}

Step 2: 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: \dfrac{3{5}}

C. 2×1102 \times \frac{1}{10}

Step 1: Draw a number line starting from 0. Mark intervals of 110\frac{1}{10}.

2×1102 \times \frac{1}{10}

Step 2: 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: \dfrac{1{5}}

D. 4×124 \times \frac{1}{2}

Step 1: Draw a number line starting from 0. Mark intervals of 12\frac{1}{2}.

4×124 \times \frac{1}{2}

Step 2: 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: 22

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Quick Answer

A. 7 × (1)/(3) Step 1: Draw a number line starting from 0.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
A. 7 × (1)/(3) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(3) . 7 × (1)/(3) Step 2: Start at 0. Make 7 jumps of (1)/(3) each. After 1 jump: 0 + (1)/(3) = (1)/(3) After 2 jumps: (1)/(3) + (1)/(3) = (2)/(3) After 3 jumps: (2)/(3) + (1)/(3) = (3)/(3) = 1 After 4 jumps: 1 + (1)/(3) = (4)/(3) After 5 jumps: (4)/(3) + (1)/(3) = (5)/(3) After 6 jumps: (5)/(3) + (1)/(3) = (6)/(3) = 2 After 7 jumps: 2 + (1)/(3) = (7)/(3) Final answer: (7)/(3) B. 3 × (1)/(5) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(5) . 3 × (1)/(5) Step 2: Start at 0. Make 3 jumps of (1)/(5) each. After 1 jump: 0 + (1)/(5) = (1)/(5) After 2 jumps: (1)/(5) + (1)/(5) = (2)/(5) After 3 jumps: (2)/(5) + (1)/(5) = (3)/(5) Final answer: (3)/(5) C. 2 × (1)/(10) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(10) . 2 × (1)/(10) Step 2: Start at 0. Make 2 jumps of (1)/(10) each. After 1 jump: 0 + (1)/(10) = (1)/(10) After 2 jumps: (1)/(10) + (1)/(10) = (2)/(10) = (1)/(5) Final answer: (1)/(5) D. 4 × (1)/(2) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(2) . 4 × (1)/(2) Step 2: Start at 0. Make 4 jumps of (1)/(2) each. After 1 jump: 0 + (1)/(2) = (1)/(2) After 2 jumps: (1)/(2) + (1)/(2) = (2)/(2) = 1 After 3 jumps: 1 + (1)/(2) = (3)/(2) After 4 jumps: (3)/(2) + (1)/(2) = (4)/(2) = 2 Final answer: 2