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**Mathsight Class 6 Solutions Chapter 5 Integers**

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students to solve MathSight Class 6 Mathematics Book, Chapter 5, Integers. Here students can easily get all the exercise questions solution for Chapter 5, Integers Exercise 5.1 and 5.2

**Integers Exercise 5.1 Solution : **

**Question no – (1)**

**Solution : **

**(a)** -144

**(b)** 180°C above 0°C

**(c)** 5 km west

**(d)** increase in marks

**(e)** 1990 A.C

**Question no – (2)**

**Solution :**

**(a)** – 150

**(b)** – 5 kg

**(c)** + 1000 m

**(d)** – 1500 Rs

**(e)** + 3000 Rs

**Question no – (3)**

**Solution :**

**(a)** – 220

**(b)** + 110

**(c)** + 25

**(d)** – 3

**(e)** – 1500

**Question no – (4)**

**Solution :**

**(a)** 1 – 1001 = 100

**(b)** 101 = 0

**(c)** – | -101| = -10

**(d)** |18 – 8| = |10| = 10

**(e)** 10 – 141 = 10 – 4 = 6

**Question no – (5)**

**Solution :**

**Question no – (6)**

**Solution :**

**Question no – (7)**

**Solution : **

**(a)** -7 < 7

**(b)** 4 > 0

**(c)** – 3 < 0

**(d)** 6 > -16

**(e)** 15 > -3

**Question no – (8)**

**Solution :**

**(a)** -5, -4, 0, 10, 14

**(b)** -13, -12, 0, 12, 10

**(c)** -10, -9, -8, 6, 7

**(d)** -11, -5, 3, 4, 5

**(e)** -21, -18, -11, 7, 15

**Question no – (9)**

**Solution : **

**(a)** 100, 30, 5, -150, -200

**(b)** 0, 10, -5, -6, -7

**(c)** 0, 14, -7, -18, -20

**(d)** 1, -3, -7, -11, -15

**(e)** 15, 14, -1, -14, -15

**Question no – (10)**

**Solution :**

**Question no – (11)**

**Solution :**

Then we will reach on -2

**Question no – (12)**

**Solution :**

Position = 10 – 7

= 3 steps

**Question no – (13)**

**Solution : **

A = – 26

B = – 22

C = – 18

**Integers Exercise 5.2 Solution : **

**Question no – (1)**

**Solution : **

**(a)** – 410 + 172

= – 238

**(b)** 120 + (-10)

= 120 – 10

= 110

**(c)** – 83 + (-43)

= – 88 – 43

= – 131

**(d)** 200 + (-75)

= 200 – 75

= 125

**Question no – (2)**

**Solution :**

**(a)** – 11 – 5

= – 16

**(b)** – 6 – (-14)

= – 6 + 14

= 8

**(c)** + 114 – 2024

= – 910

**(d)** 68 – (-32)

= 68 + 32

= 100

**Question no – (3)**

**Solution : **

**(a)** (-9) × 4

= – 36

**(b)** 140 × (-5)

= – 700

**(c)** (-13) × (-13

= 169

**(d)** (-6) × (-4) × 5 × (-10)

= – 1200

**(e)** (-7) × (-5) × 2 (-15) × 0

= 0

**(f)** (-2) × (-5) × 4 × (-2) × (-1)

= 80

**(g)** (-1) × (-3) × (-25)

= – 75

**(h)** 12 × 12 × (-5)

= – 720

**Question no – (4)**

**Solution :**

**(a)** (-108) ÷ 12

= – 9

**(b)** 0 ÷ (-13)

= 0

**(c)** 144 ÷ (-16)

= – 9

**(d)** (-15625) ÷ 25

= – 625

**(e)** (-322) ÷ (-14)

= 23

**(f)** (-192) ÷ 8

= -24

**(g)** 101 ÷ (-101)

= -1

**(h)** (-1000) ÷ 100

= -10

**Question no – (5)**

**Solution :**

**(a)** (-4) + 12 + (-20)

= – 4 + 12 – 20

= -12

**(b)** 41 + (-11) + (-17)

= 41 – 11 – 17

= 13

**(c)** (-200) + 110 + (-20) + 210 + (-5)

= -200 + 110 – 20 + 210 – 5

= 95

**(d)** (-7) + 5 + (-8) + (-11)

= – 7 + 5 – 8 – 11

= – 21

**Question no – (6)**

**Solution : **

[(-20) – (-57) – 211]

= – 20 + 57 – 211

= – 174

**Question no – (7)**

**Solution :**

[(-220) – (176)] + (-41)

= – 220 + 176 – 41

= – 85

**Question no – (8)**

**Solution :**

Other integer

= (-20) – 120

= -140

**Question no – (9)**

**Solution :**

Other integer will be,

= 88 – (-28)

= 88 + 28

= 116

**Question no – (10)**

**Solution :**

Distance,

= 74 – 32

= 42 km.

**Question no – (11)**

**Solution :**

The integer will be,

= -1 × -56

= 56

**Question no – (12)**

**Solution :**

Negative sign.

**Question no – (13)**

**Solution : **

Let, the integer = x

Successor integer = x + 1

Predecessor integer = x – 1

∴ difference = (x+1) – (x-1)

= x – 1 – x – 1

= 2

**Question no – (16)**

**Solution : **

Range of temperatures

= +12° – (45)

= 12 + 45

= 57°c

**Previous Chapter Solution : **