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. Point A is also closer to the third point
A) 2.75
B) 2 2/8
C) -3 7/8
D)-2 3/8
E)-22/7
Let's break down the information given and analyze the options one by one.
We are told that the number line has 12 marks on it, with 0 being 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.
This means that Point A is closer to the second mark than the third mark.
Now let's look at the options:
A) 2.75
B) 2 2/8
C) -3 7/8
D) -2 3/8
E) -22/7
To determine which number is plotted on the number line, we can eliminate options that do not satisfy the given conditions.
Option A, 2.75, is positive and does not appear to be between the second and third marks to the left of zero. Eliminate.
Option B, 2 2/8, is equal to 2.25, which is positive and does not appear to be between the second and third marks to the left of zero. Eliminate.
Option C, -3 7/8, is negative and could potentially be between the second and third marks to the left of zero. However, it is unlikely since it seems to be further to the left. Keep for now.
Option D, -2 3/8, is negative and could potentially be between the second and third marks to the left of zero. This seems more plausible than option C. Keep.
Option E, -22/7, is approximately -3.14 and does not appear to be between the second and third marks to the left of zero. Eliminate.
Based on the given information, it looks like the number plotted on the number line is either option C (-3 7/8) or option D (-2 3/8).
However, we are also told that Point A is closer to the third mark. Option D (-2 3/8) does not fulfill this condition.
Therefore, the number shown plotted on the number line is C) -3 7/8.