question_answer 1)

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points. (a) If point D is + 8, then which point is ?8? (b) Is point G, a negative integer or a positive integer? (c) Write integers for points B and E. (d) Which point marked on this number line has the least value? (e) Arrange all the points in decreasing order of value? TIPS Positive integers are represented on the right of zero and negative integers are represented on the left of zero on a number line but here vertical line is given. So, positive integers will be represented above zero and negative integers will be represented below zero on vertical number line.

Answer:

(a) Now, from figure, it is clear that +8 is on point D, then for getting ?8, we should move below to 0. After moving 8 steps below 0, we reach at point F. So, point F represents ?8. (b) We know that, points lie above zero are positive integers and lie below zero are negative integers. Here, we see that point G lies below zero. So, G is a negative integer. (c) On given number line, point B lies above zero and point E lies below zero. So, it is clear that point B is a positive integer and point E is a negative integer. Now, counting from 0, the distance of \[B=+4\] units because it is on right of zero and counting from 0, the distance of \[E=-10\] units because it is on left of zero. \[\therefore \] Integer \[B=+4\] and Integer \[E=-10\] (d) Here, we see that the distance of point E is far from 0 and below from 0 and we know that on vertical number line below from 0 the value of integers are negative. Hence, point E has the least value. (e) We know that, on a number line the number decreases as we move to left. Here, vertical number line is given to us, so the number decreases as we move to down. So, decreasing order of values of all points is given here. D, C, B, A, O, H, G, F, E