The document RD Sharma Solutions -Page No.5.17, Negative Numbers And Integers, Class 6, Maths Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.

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**Question 2:**

**Find the value of:(i) âˆ’27 âˆ’ (âˆ’23)(ii) âˆ’17 âˆ’ 18 âˆ’ (âˆ’35)(iii) âˆ’12 âˆ’ (âˆ’5) âˆ’ (âˆ’125) + 270(iv) 373 + (âˆ’245) + (âˆ’373) + 145 + 3000(v) 1 + (âˆ’475) + (âˆ’475) + (âˆ’475) + (âˆ’475) + 1900(vi) (âˆ’1) + (âˆ’304) + 304 + 304 + (âˆ’304) + 1**

**ANSWER:**

(i) âˆ’27 âˆ’ (âˆ’23)

= âˆ’27 + 23

= âˆ’4

(ii) âˆ’17 âˆ’18 âˆ’ (âˆ’35)

= âˆ’17 âˆ’ 18 + 35

= âˆ’35 + 35

= 0

(iii) âˆ’12 âˆ’ (âˆ’5) âˆ’ (âˆ’125) + 270

= âˆ’12 + (5 + 125 + 270)

= âˆ’12 + 400

= 388

(iv) 373 + (âˆ’245) + (âˆ’373) + 145 + 3000

= 373 âˆ’ 245 âˆ’ 373 + (145 + 3000)

= 128 âˆ’ 373 + 3145

= âˆ’245 + 3145

= 2900

(v) 1 + (âˆ’475) + (âˆ’475) + (âˆ’475) + (âˆ’475) + 1900

= 1 (âˆ’475 âˆ’ 475 âˆ’ 475 âˆ’ 475 ) + 1900

= 1 âˆ’ 1900 + 1900

= 1

(vi) (âˆ’1) + (âˆ’304) + 304 + 304 + (âˆ’304) + 1

= âˆ’1 + (âˆ’304 + 304) + ( 304 âˆ’ 304) + 1

= âˆ’1 + 0 + 0 + 1

= 0

**Question 3 : Subtract the sum of âˆ’5020 and 2320 from âˆ’709.ANSWER:** We have to subtract the sum of âˆ’5020 and 2320 from âˆ’709.

Sum:

âˆ’5020 + 2320 = âˆ’2700

Now,

âˆ’709 âˆ’ (âˆ’2700) = âˆ’709 + 2700 = 1991

**Question 4: Subtract the sum of âˆ’1250 and 1138 from the sum of 1136 and âˆ’1272.**

**ANSWER: **Sum of âˆ’1250 and 1138 = (âˆ’1250) + 1138 = âˆ’112

Sum of 1136 and âˆ’1272 = 1136 + (âˆ’1272) = âˆ’136

Now,

âˆ’136 âˆ’ (âˆ’112) = âˆ’136 + 112 = âˆ’24

**Question 5:From the sum of 233 and âˆ’147, subtract âˆ’284.**

**ANSWER:** We have to subtract âˆ’284 from the sum of 233 and âˆ’147.

Sum of 233 and (âˆ’147) = 233 + (âˆ’147) = 233 âˆ’ 147 = 86

Now, we will subtract âˆ’284 from 86.

86 âˆ’ (âˆ’284) = 86 + 284 = 370

**Question 6: The sum of two integers is 238. If one of the integers is âˆ’122, determine the other.**

**ANSWER:** Let x and y be two integers such that x + y = 238.

Given: x = âˆ’122

Now,

x + y = 238

â‡’ âˆ’122 + y = 238

â‡’ y = 238 + 122 = 360

So, the other integer is 360.

**Question 7: The sum of two integers is âˆ’233. If one of the integers is 172, find the other.ANSWER:** Let x and y be two integers such that x + y = âˆ’223.

Given: x = 172

Now,

x + y = âˆ’223

â‡’ 172 + y = âˆ’223

â‡’ y = âˆ’223 âˆ’ 172

â‡’ y = âˆ’395

**Question 8: Evaluate the following:****(i) âˆ’8 âˆ’ 24 + 31 âˆ’ 26 âˆ’ 28 + 7 + 19 âˆ’ 18 âˆ’ 8 + 33**

**ANSWER:**

(i) âˆ’8 âˆ’ 24 + 31 âˆ’ 26 âˆ’ 28 + 7 + 19 âˆ’ 18 âˆ’ 8 + 33

= (âˆ’8 âˆ’ 24) + (31 âˆ’ 26) + (âˆ’28 + 7) + (19 âˆ’ 18) + (âˆ’8 + 33)

= (âˆ’32 + 5 âˆ’ 21) + (1 + 25)

= âˆ’48 + 26

= âˆ’22

(ii) âˆ’26 âˆ’ 20 + 33 âˆ’ (âˆ’33) + 21 + 24 âˆ’ (âˆ’25) âˆ’ 26 âˆ’ 14 âˆ’ 34

= (âˆ’26 âˆ’ 20) + (33 + 33) + (21 + 24) + (25 âˆ’ 26) + (âˆ’14 âˆ’ 34)

= (âˆ’46 + 66) + (45 âˆ’ 1 âˆ’ 48)

= 20 âˆ’ 4

= 16