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Pick points at 2/3 and its opposite on the number line. Choose an appropriate scale and draw and label tick...

7. Pick points at 2/3 and its opposite on the number line. Choose an appropriate scale and draw and label tick marks on the number line.
8. A point is plotted between -1 and 0 on a number line. Write a rational number that the point could represent. Explain.
9. A point is plotted between -1 and 0 but is closer to 0 than to -1. Write a rational number that the point could represent. Explain.
10. Use the number line to complete parts (a) and (b). Pick points at -3/4 and its opposite. Choose an appropriate scale and draw and label tick marks on the number line.
(a) Describe the number line created in part (a).

Answer

  1. To plot points at 2/3 and its opposite (-2/3) on a number line, choose a scale where each tick mark represents 1/3. Mark 0 at the center, then mark 1/3, 2/3 to the right of 0, and -1/3, -2/3 to the left of 0.

  2. A rational number that the point could represent is -0.5. It is between 0 and -1 and it is rational.

  3. The point could represent -0.1 because it is between -1 and 0 and it is closer to 0 than -1.

  4. To plot points at -3/4 and its opposite (3/4) on a number line, choose a scale where each tick mark represents 1/4. Mark 0 at the center, then mark 1/4, 2/4 (1/2), 3/4 to the right of 0, and -1/4, -2/4 (-1/2), -3/4 to the left of 0.

    (a) The number line created in part (a) has tick marks at intervals of 1/4, with points marked at -3/4 and 3/4, showing symmetry around 0.

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