## RS Aggarwal Class 6 Math Fourth Chapter Integers Exercise 4A Solution

## EXERCISE 4A

**(1) Write the opposite of each of the following:**

**(i) An increase of 8**

Ans: An decrease of 8

**(ii) A loss of RS 7**

Ans: A gain of rupees 7.

**(iii) Gaining a weight of 5 kg**

Ans: Losing a weight of 5 kg.

**(iv) 10 km above sea level**

Ans: 10 km below sea level.

**(v) 5 ^{o}C below the freezing point**

Ans: 5^{o}C above freezing point

**(vi) A deposit of Rs 100**

Ans: A withdrawal of rupees 100.

**(vii) Earning Rs 500**

Ans: Spending rupees 500.

**(viii) Going 6 m to the east**

Ans: Going 6 m to the west.

**(ix) 24**

Ans: -24

**(x) -34**

Ans: +34

**(2) Indicate the following using ‘+’ or ‘-‘ sign:**

**(i) A gain of Rs 600**

Ans: +Rs 600.

**(ii) A loss of Rs 800**

Ans: -Rs 800.

**(iii) 7 ^{o}C Below the freezing point**

Ans: -7^{o}C.

**(iv) Decrease of 9**

Ans: -9.

**(v) 2 km above sea level**

Ans: +2 km.

**(vi) 3 km below sea level**

Ans: -3 km.

**(vii) A deposit of Rs 200**

Ans: +Rs 200.

**(viii) A withdrawal of Rs 300**

Ans: -Rs 300.

**(3) Mark the following integers on a number line:**

**(4) Which number is larger in each of the following pairs?**

(i) 0, -2

Ans: 0.

(ii) -3, -5

Ans: -3.

(iii) -5, 2

Ans: 2.

(iv) -16, 8

Ans: 8.

(v) -365, -913

Ans: -365.

(vi) -888, 8

Ans: 8.

**(5) Which number is smaller in each of the following pairs?**

(i) 6, -7

Ans: -7.

(ii) 0, -1

Ans: -1.

(iii) -13, -27

Ans: -27.

(iv) -26, 17

Ans: -26.

(v) -317, -603

Ans: -603.

(vi) -777, 7

Ans: -777.

**(6) Write all integers between**

(i) 0 and 6

Ans: 1, 2, 3, 4, 5

(ii) -5 and 0

Ans: -4, -3, -2, -1

(iii) -3 and 3

Ans: -2, -1, 0, 1, 2

(iv) -7 and -5

Ans: -6

**(7) Fill in the by appropriate symbol > or <:**

(i) 0……7

Ans: <

(ii) 0…. -3

Ans: >

(iii) -5…….-2

Ans: <

(iv) -15……13

Ans: <

(v) -231……-132

Ans: <

(vi) -6……6

Ans: <

**(8) Write the following integers in the increasing order:**

**(i) 5, -7, -2, 0, 8**

Ans: -7, -2, 0, 5, 8

**(ii) -23, 12, 0, -6, -100, -1**

Ans: -100, -23, -6, -1, 0, 12

**(iii) -17, 15, -363, -501, 165**

Ans: -501, -363, -17, 15, 165

**(iv) 21, -106, -16, 16, 0, -2, -81**

Ans: -106, -81, -16, -2, 0, 16, 21

**(9) Write the following integers in the decreasing order:**

**(i) 0, 7, -3, -9, -132, 36**

Ans: 36, 7, 0, -3, -9, -132

**(ii) 51, -53, -8, 0, -2**

Ans: 51, 0, -2, -8, -53

**(iii) -71, -81, 36, 0, -5**

Ans: 36, 0, -5, -71, -81

**(iv) -365, -515, 102, 413, -7**

Ans: 413, 102, -7, -365, -515

**(10) Using the number line, write the integer which is**

**(i) 4 more than 6**

Ans: 4+6=10

**(ii) 5 more than -6**

Ans: 5-6= -1

**(iii) 6 less than 2**

Ans: 2-6= -4

**(iv) 2 less than -3**

Ans: -3 -2= -5

**(11) For each of the following statements, write (T) for true and (F) for false:**

**(i) The smallest integers is zero.**

Ans: F

**(ii) Zero is not an integer.**

Ans: F

**(iii) The opposite of zero is zero.**

Ans: T

**(iv) -10 is greater than -6.**

Ans: F

**(v) The absolute value of an integer is always greater than the integer.**

Ans: F

**(vi) 0 is larger than every negative integer.**

Ans: T

**(vii) Every negative integer is less than every natural number.**

Ans: T

**(viii) The successor of -187 is -188.**

Ans: F

**(ix) The predecessor of -215 is -214.**

Ans: F

**(12) Find the value of**

(i)

-9

Ans: 9

(ii)

-36

Ans: 36

(iii)

0

Ans: 0

(iv)

15

Ans: 15

(v)

–3

Ans: -3

(vi)

7+-3

Ans: 10

(vii)

7-4

Ans: 3

(viii)

8–7

Ans: 1

**(13) (i) Write five negative integers greater than -7.**

Ans: -6, -5, -4, -3, -2

**(ii) Write five negative integers less than -20.**

Ans: -21, -22, -23, -24, -25

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