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Point D is 8 units from its opposite on a number line. Write the numbers that point D and its opposite...

6. Point D is 8 units from its opposite on a number line. Write the numbers that point D and its opposite represent.
7. Use the number line to complete parts (a) and (b).
a. Plot point F at -5.
b. Plot point G at -(-5).
8. Describe the relationship between point F and point G.
9. Write the number and describe its relationship to 0 on a number line.
a. Ten
10. The opposite of ten
11. The opposite of the opposite of ten
12. Sasha says that -(-25) is equal to -25. Julie disagrees and says that -(-25) is equal to 25. Who is correct? Explain.

Answer

  1. Point D could be 4, and its opposite would be -4, as they are 8 units apart on a number line.

  2. a. Point F is plotted at -5.

    b. Point G is plotted at 5, since -(-5) = 5.

  3. Point F and point G are opposites on the number line. Point F is at -5, and point G is at 5.

  4. a. Ten is 10 units to the right of 0 on a number line.

  5. The opposite of ten is -10.

  6. The opposite of the opposite of ten is 10.

  7. Julie is correct. -(-25) is equal to 25 because the negative of a negative number is positive.

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