Let's solve each of the integer addition and subtraction problems step by step. We'll follow the rules for adding and subtracting integers:
Rules:
1.
Adding two positive numbers: Add them normally.
2.
Adding two negative numbers: Add their absolute values and keep the negative sign.
3.
Adding a positive and a negative number: Subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
4.
Subtracting a number: Change the sign of the number being subtracted and then add.
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Now, let’s solve each problem:
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1) (-90) + (-10)
Both are negative:
= -(90 + 10) =
-100
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2) (459) - (254)
Subtract:
= 459 - 254 =
205
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3) (-7) - (242)
Change subtraction to addition:
= -7 + (-242) = -(7 + 242) =
-249
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4) (71) + (180)
Both positive:
= 71 + 180 =
251
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5) (-333) + (-211)
Both negative:
= -(333 + 211) =
-544
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6) (-312) - (471)
= -312 + (-471) = -(312 + 471) =
-783
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7) (-161) - (-374)
Subtracting a negative is like adding:
= -161 + 374 = 374 - 161 =
213
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8) (-232) + (-107)
Both negative:
= -(232 + 107) =
-339
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9) (381) - (298)
= 381 - 298 =
83
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10) (-173) + (450)
One negative, one positive:
450 - 173 =
277
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11) (-181) - (292)
= -181 + (-292) = -(181 + 292) =
-473
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12) (239) + (-105)
= 239 - 105 =
134
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13) (-160) - (-463)
= -160 + 463 = 463 - 160 =
303
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14) (-140) - (289)
= -140 + (-289) = -(140 + 289) =
-429
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15) (119) + (55)
= 119 + 55 =
174
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16) (-276) + (-14)
= -(276 + 14) =
-290
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17) (475) - (-155)
= 475 + 155 =
630
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18) (67) - (-77)
= 67 + 77 =
144
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19) (-243) + (-385)
= -(243 + 385) =
-628
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20) (381) - (70)
= 381 - 70 =
311
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21) (-307) - (340)
= -307 + (-340) = -(307 + 340) =
-647
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22) (-453) + (421)
= 421 - 453 =
-32
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23) (-37) + (-489)
= -(37 + 489) =
-526
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24) (-121) + (-443)
= -(121 + 443) =
-564
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25) (-300) + (452)
= 452 - 300 =
152
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26) (198) - (-190)
= 198 + 190 =
388
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Final Answers:
1) -100
2) 205
3) -249
4) 251
5) -544
6) -783
7) 213
8) -339
9) 83
10) 277
11) -473
12) 134
13) 303
14) -429
15) 174
16) -290
17) 630
18) 144
19) -628
20) 311
21) -647
22) -32
23) -526
24) -564
25) 152
26) 388
✔ All problems solved! Let me know if you'd like this in a printable format or need explanations for any specific problem.
Parent Tip: Review the logic above to help your child master the concept of worksheet addition and subtraction rule.
