Rewrite 5 − 6 using the additive inverse and display the new expression on a number line. 5 − (−6) A horizontal number line is shown with labels from 0 and ends at 16. A blue arrow begins at 0 and ends at 5. Another blue arrow begins at 5 and ends at 11. 5 + (−6) A horizontal number line is shown with labels from negative 8 and ends at positive 8. A blue arrow begins at 0 and ends at 5. A red arrow begins at 5 and ends at negative 1. 5 + 6 A horizontal number line is shown with labels from 0 and ends at 16. A blue arrow begins at 0 and ends at 5. Another blue arrow begins at 5 and ends at 11. 6 − 5 A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and ends at 6. A red arrow begins at 6 and ends at 1.

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Answer:

  • 5 + (−6) A horizontal number line is shown with labels from negative 8 and ends at positive 8. A blue arrow begins at 0 and ends at 5. A red arrow begins at 5 and ends at negative 1.

Explanation:

I attach a picture with the image of the description given in the correct choice.

The explanation is:

  • The blue arrow, which begins at 0 and ends at 5, is showing that the value 5 is equivalent to + 5 and it is reflected as a movement over 5 tick marks to the right on the numbered line

  • The additive inverse of 6 is - 6, so you can rewrite the subtraction 5 - 6 with a addtion using the additive inverse of 6, i.e. 5 - 6 =  5 + - (6)

  • So, the red arrow that begins at 5 and ends at - 1 is representing the movement along 6 tick marks to the left on the numbered line.

  • So, after moving over 5 tick marks to the right and 6 tick marks to the left you end on the thick mark - 1 representing that 5 + ( -6) = - 1.
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