Subjects arithmetic

Number Line Multiplication

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Number Line Multiplication


1. **State the problem:** We want to use a number line to solve a multiplication fact model with the numbers 0, 3, 6, 9, 12, 15, and 18. 2. **Understand the multiplication fact model:** These numbers represent multiples of 3, starting from 0 up to 18. The multiplication fact here is $3 \times n$ where $n$ is an integer from 0 to 6. 3. **Using the number line:** - Draw a horizontal line and mark points starting at 0. - Each step on the number line represents adding 3. - Mark points at 3, 6, 9, 12, 15, and 18. 4. **Explain the process:** - Starting at 0, each jump of 3 units corresponds to multiplying 3 by the next integer. - For example, the first jump to 3 is $3 \times 1 = 3$. - The second jump to 6 is $3 \times 2 = 6$, and so on. 5. **Summary:** Using the number line helps visualize multiplication as repeated addition. Each point on the line corresponds to a multiplication fact of 3. Final answer: The number line shows the multiplication facts $3 \times 0 = 0$, $3 \times 1 = 3$, $3 \times 2 = 6$, $3 \times 3 = 9$, $3 \times 4 = 12$, $3 \times 5 = 15$, and $3 \times 6 = 18$.