# S Chand ICSE Mathematics Class 6 Solution Third Chapter Negative Numbers and Integers Exercise 3A (O.P. Malhotra,  S.K. Gupta, Anubhuti Gangal)

## EXERCISE 3A

(1) Answer True (T) or False (F).

(2) Write integers to represent the following situations:

(i) – 4

(ii) 100

(iii) 3

(iv) – 578

(v) – 8

(3) Given below is a number line representing integers. Mark and write the integers corresponding to the following points.

(i) A = -3

(ii) B = + 3

(iii) C = + 4

(iv) D = – 5

(v) E = – 1

(vi) F = + 2

(vii) G = + 5

(viii) H = 0

(∵ 0 is the opposite of itself)

(4) Write the opposite of each integer.

(i) – 93 = + 93

(ii) 82 = – 82

(iii) – 310 = + 310

(iv) 450 = – 450

(v) 0 = 0

(5) Write all the integers between

(i) – 2, – 1, 0, 1, 2, 3

(ii) – 1, 0, 1, 2, 3, 4

(iii) – 7, – 8, – 9, – 10, – 11, – 12

(iv) – 10, – 9, – 8, – 7, – 6, – 5, – 4 , – 3, – 2, – 1

(v) – 34, – 33, – 32, – 31, – 30, – 29

(6) Answer True (T) or False (F).

(i) F

(ii) F

(iii) T

(iv) T

(v) T

(7) Compare. Write < or >.

(i) 8 < 13

(ii) – 17 < – 7

(iii) – 23 > – 32

(iv) 0 > – 48

(v) – 15 < 15

(vi) – 18 < 1

(vii) 15 > – 51

(viii) – 623 > – 632

(ix) – 16 < 61

(x) – 100 < 0

(8) Arrange the following sets of integers in ascending order.

(i) – 7, – 3, 0, 2, 5

(ii) – 5, – 4, 0, 6, 9, 10

(iii) – 43, – 21, – 18, 4, 12, 34

(iv) – 564, – 546, – 465, 456, 645, 654

(9) Arrange the following sets of integers in descending order.

(i) 15, 8, 0, – 2, – 10, – 13

(ii) 64, 42, 4, 0, – 3, – 26, – 50

(iii) 82, 80, 18, – 25, – 30, – 90

(iv) 161, 116, – 106, – 160, – 601, – 611

(10) Write

(i) – 13, – 14, – 15, – 16, – 17

(ii) – 5, – 4, – 3, – 2, – 1, 0, 1, 2

(11) Write the absolute value of each of the following.

(i) 5 = 5

(ii) – 7 = 7

(iii) – 64 = 64

(iv) 0 = 0

(v) |- 7100| = 7100

(vi) – | – 6| = 6

(12) Name two integers that have the given number as their absolute value.

(i) – 19, 19

(ii) – 58, 58

(iii) – 70, 70

(iv) – 245, 245

(v) – 536, 536

(13) Compare using <,> or =.

(i) | 3 | = | – 3|

(ii) |- 8| > – | 8|

(iii) – | – 9| < – ( – 9)

(iv) | – 2| > – | – 2|

(14) Write the following in descending order.

(i) | 80 |, |- 75|, – (- 68), – 32, – | 52|

(ii) | – 50|, | 48|, – (- 28), – 47, – (- 52)

(15) Write the following in ascending order.

(i) – 64, – |- 58|, – | 13|, | – 18|, – (- 46)

(ii) – |- 54|, – 47, – (- 30), | 48|, |- 72|

(16) Evaluate:

(i) | – 5| + | 3|

= 5 + 3 = 8

(ii) | – 7| × |- 2|

= 7 × 2 = 14

(iii) |17| – |- 15|

= 17 – 15 = 2

(iv) |6 × 5| ÷ | – 5|

.= 30 ÷ 5 = 6

(v) | 7 – 3| × |5 – 5|

= 4 × 0 = 0

Multiple Choice Questions (MCQs)

(17)- 25 = (b) Planting a seed 25 cm below the ground

(18) One thousand nine hundred years ago = (c) – 1900

(19) closest to 0°C = (c) – 1°C

(20) (a) – 10 < – 4

(21) (c) – 361, – 316, – 163, – 136

(22) (b) 12, – 12, – 15, – 18

(23) (b) Driver

(24) (d) 1

(25) |10 – 4| ÷ | – 3|

= 6 ÷ 3 = 2 (c)