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:
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Adding two positive numbers: Add normally.
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Adding two negative numbers: Add their absolute values and keep the negative sign.
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Adding a positive and a negative number: Subtract the smaller absolute value from the larger, and use the sign of the number with the larger absolute value.
-
Subtracting a number: Change the operation to addition and change the sign of the second number (e.g., $ a - b = a + (-b) $).
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Now, let’s go through each problem:
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1) $(-90) + (-10)$
= $-90 - 10 = -100$
2) $(459) - (254)$
= $459 - 254 = 205$
3) $(-7) - (242)$
= $-7 - 242 = -249$
4) $(71) + (180)$
= $71 + 180 = 251$
5) $(-333) + (-211)$
= $-333 - 211 = -544$
6) $(-312) - (471)$
= $-312 - 471 = -783$
7) $(-161) - (-374)$
= $-161 + 374 = 213$
(Change subtraction of negative to addition: $-161 + 374$)
8) $(-232) + (-107)$
= $-232 - 107 = -339$
9) $(381) - (298)$
= $381 - 298 = 83$
10) $(-173) + (450)$
= $-173 + 450 = 277$
11) $(-181) - (292)$
= $-181 - 292 = -473$
12) $(239) + (-105)$
= $239 - 105 = 134$
13) $(-160) - (-463)$
= $-160 + 463 = 303$
14) $(-140) - (289)$
= $-140 - 289 = -429$
15) $(119) + (55)$
= $119 + 55 = 174$
16) $(-276) + (-14)$
= $-276 - 14 = -290$
17) $(475) - (-155)$
= $475 + 155 = 630$
18) $(67) - (-77)$
= $67 + 77 = 144$
19) $(-243) + (-385)$
= $-243 - 385 = -628$
20) $(381) - (70)$
= $381 - 70 = 311$
21) $(-307) - (340)$
= $-307 - 340 = -647$
22) $(-453) + (421)$
= $-453 + 421 = -32$
23) $(-37) + (-489)$
= $-37 - 489 = -526$
24) $(-121) + (-443)$
= $-121 - 443 = -564$
25) $(-300) + (452)$
= $-300 + 452 = 152$
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 these formatted in a table or explained further.
Parent Tip: Review the logic above to help your child master the concept of subtract integers worksheet.
