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

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)

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