Which of the labeled points on the number line above has coordinate closest to
Point D on the number line has a coordinate closest to the indicated value.
The distance between a point and a given value on a number line is determined by the absolute difference between the coordinate of the point and the given value. The smaller this difference, the closer the point is to the given value.
Point A is not the closest to the indicated value, as the absolute difference between the coordinate of point A and the indicated value is larger than that of point D.
Point B is not the closest to the indicated value, as the absolute difference between the coordinate of point B and the indicated value is larger than that of point D.
Even though point C is closer to the indicated value than points A and B, the absolute difference between the coordinate of point C and the indicated value is still larger than that of point D.
The absolute difference between the coordinate of point D and the indicated value is the smallest among all the points, making point D the closest to the indicated value on the number line.
When comparing the closeness of points on a number line to a given value, the point with the smallest absolute difference between its coordinate and the given value is considered the closest. In this case, point D is the closest to the indicated value on the number line among all the given points.
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