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. 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)
III. 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
IV. 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)
V. Add the following:
(i) 7 + 9
(ii) (-4) + 9
(iii) 2 + (-2)
(iv) (-7) + (-6)
(v) (-8) + (-4) + (-9)
VI. 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
VII. Evaluate the following:
(i) (+423) + (253)
(ii) (-423) + (+253)
(iii) (+423) + (-253)
(iv) (-423) + (-253)
VIII. Find the sum of the following:
(i) (-47 + 48 + (-58))
(ii) (-72 + (-67) + 199)
(iii) 38 + (-20) + 16 + (-19)
(iv) (-44) + 911 + (-288) + 135
IX. 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
X. Find the additive inverse of each of the following integers:
(i) 45
(ii) 0
(iii) -167
(iv) 8
(v) 1
XI. Find the successor of each of the following integers.
(i) -670
(ii) -115
(ⅲ) 999
(iv) -1
(v) -200
XII. Find the predecessor of each of the following integers:
(i) 0
(ii) -45
(ii) -1000
(iv) -128
(v) -500
XIII. 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
XIV. 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.
XV. Find an integer n such that (i) n + 57 = 0; (ii) n + (-89) = 0
XVI. 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?
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.
III. (i) 42
(ii) 42
(iii) 27
(iv) 15
(v) -7
(vi) 9
(vii) 0
(viii) 2
IV. (i) 4
(ii) -53
(iii) -176
(iv) -425
(v) 0
(vi) -1215
V. (i) 16
(ii) 5
(iii) 0
(iv) -13
(v) -21
VI. (i) 5238
(ii) 4585
(iii) -1404
(iv) 7486
VII. (i) 676
(ii) -170
(iii) 170
(iv) -676
VIII. (i) -57
(ii) 60
(iii) 15
(iv) 714
IX. (i) -3
(ii) -5
(iii) 5
(iv) -94
X. (i) -45
(ii) 0
(iii) 167
(iv) -8
(v) -1
XI. (i) -669
(ii) -114
(ⅲ) 1000
(iv) 0
(v) -199
XII. (i) -1
(ii) -46
(ii) -1001
(iv) -129
(v) -501
XIII. (i) -101
(ii) 102
(iii)-523
(iv) 1500
XIV. (i) T
(ii) F
(iii) F
(iv) T
(v) F
XV. (i) n = -57;
(ii) n = 89
XVI. (i) 167 km to the south of California.
(ii) $8903
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