Exercise 3-a

1. Write the opposite of the following statements :

(a) 17 km below sea level (b) 14 km above water level
(c) A gain oft 50 (d) 305 km north of Delhi
(e) Increase oft 25 in salary (f) A loss off 30
(g) A bank deposit of t 2,500 (h) 15 A.D
2
• Use the number line given below to write the int~gers ~::nc!~i~:v:yb!he
letters. For each of them, write its opposite next to it. (a) en
done for you.
G H I J K L M N O p
--,- A 8 C D
, 11--r-,n-·--T-,--1 E
I I I I I I
F X
I I I I l I 9
I I I I 11
101112131415

-....
·15 · 14 ·13 ·12 -11 -10 -9 -11 -7 -6 .5 -4 -3 -2 -1 0 1 2345678

(a) A
-.... - 13, 13 (b)
(f) H
B .... (c) D
(d) E
(g) K ....
(e) G .... 3,-3
(h) M (i) X ....
3. Use the number line given above to fill the blanks with th e proper symbol
-
(<. >or=). One has been done for you.
(a) A-2-H (b) D __ P (c) c __ A
(d) F _ _ J (e) J _ _ P (f) M __ X
4 .. Write the predecessor and successor of each of the following numbers :
(a) - 25 (b) 10 (c) - 4
{d) - 300 (e) 1 (f) 0
5. Write all the integers which lie between the following numbers :
(a) + 6 and - 3 (b) o and + 5 (c) + 2 and + 9
(d) - 5 and - 12 (e) - 3 and + 3 (f) 0 and - 6
6. Write the following integers in ascending order :
(a) 5, - 4, - 10, 0, - 1, 8, 4, 56, - 54, - 7
(b) - 26, - 20, - 24, -14, -33, 21, -21, 25
(c) - 20, 21, 27, - 24, 11, - 18, - 8, 19, - 6, 15
(d) 8, - 24, 31, - 26, - 28, 7, 19, - 18, - 8, 33
7. State whether each of the following is true or false :
(a) The absolute value of - 5 is 5. (b) The opposite value of 5 is - 5.
(c) -10 > 4 (d) - 5 is the successor of - 4.
(e) - 1 is the successor of 0. (f) - 4 = 4
(g) Integers with a'-' sign are smaller than integers without a'-' sign.
(h) The opposite of 0 is - 0.
8. Show the following integers on the number line :
(a) - 7 to 5 (b) - 1 to - 5 (c) -4 to 4 (d) + 10 (e) - 8 to 1
Look at this number line.
p Q R s
i i l I I I
lI I a-
• I I I I I I I I I I I I
-20 -16 -12 -8 -4 0 4 8 12 16 · 20

(al Which letter represents the greatest number?

(bl Which letter represents the smallest number?

(cl RII in the boxes below with > or <.

,~---,,.,,, ~,- -:--.,
... ~,'
Pt lR R1 Jo
~., ~.· "!'... ¥-~~J .

Chippy the chipmunk lives in a tree. He likes to climb up trees and burrow
underground. Fill in the blanks with Chippy's new positions as he climbs up and
down. One has been done for you. ·
Chippy starts at 0.
lal First, he climbs 2 units above
the ground. 2

lbl , Next, he climbs 4 units down .

5 lcl Then, he climbs another 3 units
4 down.
3
2
1 Id) Then, he climbs 4 units up.
0
-1 lel Lastly, he climbs another 3 units up.
-2
-3 !fl Mark Chippy's final position with a cross I.XI.
-4
-5
-6
 The number lines below show how a ball bounces from one position to another.
Mark with a cross 111 on the number line to show where the ball will land.
(al The ball bounces 8 units to the right.

.. I
-5 -4
I •I
-3
I
-2
I
-1
I
0
I
l
I
2
I
3
I
4
I "'
5

(bl The ball bounces 10 units to the left.

.. I
-10
I
-8
I I I
-6
I I
-4
I I
-2
I I
0
I I
2
I I
4
I • 6
I I I
8
I I "'
10

*{cl The ball bounces 2 units to the left, then 8 units to the right.

.. I
-5 -4
I I
-3
•
I
-2
I
-1
I
0
I
l
I
2 3
I I
4
I "'
5

*Jdl The ball bounces 6 units to the right, then 10 units to the left.

.. I
-10
I
-8
I I I I I I I I I I I I I I I I I I "'
I
-6 -4 -2 0 2 4 6 8 10
•
Fill in the boxes with > or <.
r
(al 6 ··-···--/
-8 lbl -22 '····. 7
• ··•·

(cl -13 l
. ·'
·3 ldl -9 l' -· - ··· ••·······"'-"
,-14
"
~- -,~.,,,
!el -15 -•·-
,-9
,._,, .•... +
m 8 •-·• - -- - ,, - .. .
I
i-1