Which of the following numbers is shown plotted on the number line?
A number line has 12 marks on it. 0 is near the middle of the number line. Point A is marked between the second and third mark to the left of zero, about one-third of the way to the third mark.
A) 2.75
B) 2 2/8
C) -3 7/8
D)-2 3/8
E)-22/7
Point A is about one-third of the way from the second mark to the third mark to the left of zero. Since there are 12 marks on the number line, this means that each mark represents a distance of 1/12.
Therefore, the second mark to the left of zero is -2/12, and the third mark is -3/12. Since point A is one-third of the way from -2/12 to -3/12, we can calculate its position as follows:
Point A = (-2/12) + (1/3)(-3/12) = -2/12 - 1/12 = -3/12 = -1/4
Therefore, the number shown plotted on the number line is -1/4.
None of the answer options are -1/4, so the correct answer is None of the above.