Mark -3, 7, -4, -8, -1 and 3 on the number line.

Compare the following pairs of numbers using > or <.
(i) \(0\ \Box -8\)
(ii) \(-1\ \Box\ -15\)
(iii) \(5\ \Box\ -5\)
(iv) \(11\ \Box\ 15\)
(v) \(0\ \Box\ 6\)
(vi) \(-20\ \Box\ 2\)
From the above exercise, Rohini arrived at the following conclusions:
(a) Every positive integer is larger than every negative integer.
(b) Zero is less than every positive integer.
(c) Zero is larger than every negative integer.
(d) Zero is neither a negative integer nor a positive integer.
(e) Farther a number from zero on the right, larger is its value.
(f) Farther a number from zero on the left, smaller is its value. Do you agree with her? Give examples.

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?

Temperature of a place at 7 : 00 am was 6°C. Temperature increased by 4°C in first hour and decreased by 1°C in the second hour. What was the temperature at 9 : 00 am?

Write six distinct integers, whose sum is 7.

Write the integer, which is 4 more than its additive inverse.

Is it possible to find integers, which are less than - 3 and greater than -1? Write down the integers, if any.

Find the sum of the smallest even positive integer and the greatest negative integer.

Going up and down
In Mohan's house there are stairs for going up to the terrace and for going down to the godown.
Let us consider the number of stairs going up to the terrace as positive integer, the number of stairs going down to the godown as negative integer, and the number representing ground level as zero.

Do the following exercise and write down the answer as integer:
(a) Go 6 steps up from the ground floor.
(b) Go 4 steps down from the ground floor.
(c) Go 5 steps up from the ground floor and then go 3 steps up further from there.
(d) Go 6 steps down from the ground floor and then go down further 2 steps from there.
(e) Go down 5 steps from the ground floor and then move up 12·steps from there.
(f) Go 8 steps down from the ground floor and then go up 5 steps from there.
(g) Go 7 steps up from the ground floor and then 10 steps down from there.
Ameena wrote them as follows:
(a)+6
(b)-4
(c) (+ 5) + (+ 3) = + 8
(d) (-6) + (-2) =-4
(e)(-5)+(+12)=+7
(f)(-8) +(+5)=-3
(g) (+ 7) + (-10) = 17
She has made some mistakes. Can you check her answers and correct those that are wrong?

Draw a figure on the ground in the form of a horizontal number line as shown below. Frame questions as given in the above example and ask your friends.

Few questions framed are as follows:
1. Go 4 steps to the right of o.
2. Go 5 steps to the left of o.
3. Go 6 steps to the right of 0 and then go 4 steps further from there to the left.
4. Go 5 steps to the left of 0 and then go 1 step further from there to the left.
5. Go 8 steps to the right of 0 and then go 6 steps further from there to the left.
6. Go 4 steps to the left of 0 and then go 3 steps further from there to the right.