Worksheet on Adding Integers

Practice the questions given in the worksheet on adding integers. We know that the sum of any two integers is always an integer.

I. Add the following integers:

(i) + 84 and + 45

(ii) - 63 and - 23

(iii) -44 and + 35

(iv) +12 and -20

(v) + 2245 and -1013

(vi) -260 and 0

(vii) -57 and -476

(viii) 274 and - 342

(ix) + 145 and +264

(x) - 814 and +415

II. Add the following integers:

(i) -34, +567

(ii) -356; +234

(iii) 678; -241

(iv) 145, -834

(v) -634; +712

(vi) 470; -690

(vii) 341; -709

(viii) -57; +57

(ix) 61; -35

(x) -111; -67

(xi) -18; -353

(xii) -829; -572

(xiii) -705; -444

(xiv) -6730; 0

(xv) 0; -4000

(xvi) -240; -240

III. Find the sum of :

(i) -51, -48 and 89

(ii) 241, -104 and -383

IV. Simplify:

(i) 83 + (-27) + (-61)

(ii) (-512) + 202 + 822

(iii) 504 + 710 + (-840)

(iv) (-573) + (-680) + (-571)

(v) (-275) + 822 + 300 + (-480)

(vi) (-6207) + 720 + 9309

V. Using the number line, add the following

(i) 3 + 5

(ii) (-6) + 5

(iii) (- 5) + (- 3)

(iv) (-3) + 5

(v) (- 2) + (- 7)

(vi) (-3) + 3

(vii) (- 3) + 2 + (- 4)

(viii) (- 2) + (- 1) + (- 5)

VI. Fill in the blanks:

(i) 15 + 27 = ………..

(ii) 27 + 15 = ………..

(iii) 27 + 0 = ………..

(iv) 0 + 15 = ………..

(v) 7 + ……….. = 0

(vi) (-9) + ……….. = 0

(vii)  17 + (-17) = ………..

(viii) (-7) + ……….. = -5

(ix) -327 + _____ = 23

(x) -8 + _____ = -32

(xi) 21 + _____ = -24

(xii) _____ + (-15) = 220

VII. Add the following without using the number line.

(i) (-17) + 21

(ii) -16 + (-37)

(iii) (-128) + (-48)

(iv) 365 + (-790)

(v) (-192) + 192

(vi) (-870) + (-345)

VIII. Add the following:

(i) 7 + 9

(ii) (-4) + 9

(iii) 2 + (-2)

(iv) (-7) + (-6)

(v) (-8) + (-4) + (-9)

IX. Find the sum of the following:

(i) -4761 and 9999

(ii) 2345, 793 and 1447

(iii) -3167, -445 and 2208

(iv) 3141, -1000 and 5345

X. Evaluate the following:

(i) (+423) + (253)

(ii) (-423) + (+253)

(iii) (+423) + (-253)

(iv) (-423) + (-253)

XI. Find the sum of the following:

(i) (-47 + 48 + (-58))

(ii) (-72 + (-67) + 199)

(iii) 38 + (-20) + 16 + (-19)

(iv) (-44) + 911 + (-288) + 135

XII. Find the value of the following:

(i) 3 + 4 + (-6) + (-6) + 2

(ii) 11 + 53 + (-40) - 29

(iii) (-98) + (-43) + 69 + 77

(iv) 41 + (-73) + 23  - 85

XIII. Find the additive inverse of each of the following integers:

(i) 45

(ii) 0

(iii) -167

(iv) 8

(v) 1

(vi) 9

(vii) -15

(viii) 810

(ix) -59

XIV. Find the successor of each of the following integers.

(i) -670

(ii) -115

(ⅲ) 999

(iv) -1

(v) -200

XV. Find the predecessor of each of the following integers:

(i) 0

(ii) -45

(ii) -1000

(iv) -128

(v) -500

XVI. Simplify the following:

(i) (-105) + (-64) + 115 + (-47)

(ii) (392) + (-115) + 675 + (-205) + (-645)

(iii) (-360) + 111 + (-342) + 88 + (-20)

(iv) (-1) + 52 + (-896) + (-65) + 2410

XVII. State whether the following statements are true (T) of false (F).

(i) The sum of two integers can be zero.

(ii) The addition of three distinct integers is zero if one of integer is zero.

(iii) The addition of a negative (-ve) integer and a positive (+ve) integer is always a negative (-ve) integer.

(iv) The addition of an integer and its opposite is zero.

(v) The addition of two negative (-ve) integers is always a positive (+ve) integer.

XVIII. Find an integer n such that (i) n + 57 = 0;     (ii) n + (-89) = 0

XIX. Word Problems on Addition of Integers:

(i) A private car traveled 48 km to the north of California and then further traveled 215 km to the south from there. How far was the car finally from California?

(ii) Nairitee opened his bank account on 1^st August 2023 by depositing $7896. A week later she withdrew $3562 and finally on the last day of August 2023 she deposited $4569. What would be his bank balance on the first day of September 2023?

(iii) Two buses started from the same point. One bus went towards South and covered 68 km in 1 hour. The other bus moved towards North and covered 52 km in 1 hour. What was the distance between them after 1 hour?

Answers for the worksheet on adding integers are given below to check the exact answers of the above questions on addition.

Answers:

I. (i) +129

(ii) -86

(iii) -9

(iv) -8

(v) + 1232

(vi) -260

(vii) -533

(viii) -68

(ix) + 409

(x) – 399

II. (i) 533

(ii) -122

(iii) 437

(iv) -689

(v) 78

(vi) -220

(vii) -368

(viii) 0

(ix) 26

(x) -178

(xi) -371

(xii) -1401

(xiii) -1149

(xiv) -6730

(xv) -4000

(xvi) -480

III. (i) -10

(ii) -246

IV. (i) -5

(ii) 512

(iii) 374

(iv) -1824

(v) 367

(vi) 3822

V. 

VI. (i) 42

(ii) 42

(iii) 27

(iv) 15

(v) -7

(vi) 9

(vii)  0

(viii) 2

(ix) 350

(x) -24

(xi) -45

(xii) 235

VII. (i) 4

(ii) -53

(iii) -176

(iv) -425

(v) 0

(vi) -1215

VIII. (i) 16

(ii) 5

(iii) 0

(iv) -13

(v) -21

IX. (i) 5238

(ii) 4585

(iii) -1404

(iv) 7486

X. (i) 676

(ii) -170

(iii) 170

(iv) -676

XI. (i) -57

(ii) 60

(iii) 15

(iv) 714

XII. (i) -3

(ii) -5

(iii) 5

(iv) -94

XIII. (i) -45

(ii) 0

(iii) 167

(iv) -8

(v) -1

(vi) -9

(vii) 15

(viii) -810

(ix) 59

XIV. (i) -669

(ii) -114

(ⅲ) 1000

(iv) 0

(v) -199

XV. (i) -1

(ii) -46

(ii) -1001

(iv) -129

(v) -501

XVI. (i) -101

(ii) 102

(iii)-523

(iv) 1500

XVII. (i) T

(ii) F

(iii) F

(iv) T

(v) F

XVIII. (i) n = -57;     

      (ii) n = 89

XIX. (i) 167 km to the south of California.

        (ii) $8903

        (iii) 120 km

6th Grade Math Practice

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