Let's solve each of these integer addition and subtraction problems step by step. We'll use the rules for adding and subtracting integers:
Rules to Remember:
1.
Adding two negative numbers: Add their absolute values, result is negative.
2.
Adding a positive and a negative number: Subtract the smaller absolute value from the larger one; sign of the result follows the number with the larger absolute value.
3.
Subtracting a negative number: This is the same as
adding the positive version of that number (i.e., $ a - (-b) = a + b $).
4.
Subtracting a positive number: Just subtract normally.
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Now let’s solve each problem:
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1) $(-41) + (-23)$
= $-41 - 23 = -64$
2) $2 + (-29) + (-7)$
= $2 - 29 - 7 = -34$
3) $(-3) + (-20)$
= $-3 - 20 = -23$
4) $40 + (-17) - (-27)$
= $40 - 17 + 27$ (since $-(-27) = +27$)
= $23 + 27 = 50$
5) $(-12) + 21 + (-26)$
= $-12 + 21 - 26 = 9 - 26 = -17$
6) $32 + (-20)$
= $32 - 20 = 12$
7) $18 + (-27)$
= $18 - 27 = -9$
8) $(-32) + (-2)$
= $-32 - 2 = -34$
9) $44 + (-22)$
= $44 - 22 = 22$
10) $48 + (-13) - (-14)$
= $48 - 13 + 14 = 35 + 14 = 49$
11) $22 + (-8)$
= $22 - 8 = 14$
12) $(-1) + (-21) - (-3)$
= $-1 - 21 + 3 = -22 + 3 = -19$
13) $(-27) + (-6) - (-23)$
= $-27 - 6 + 23 = -33 + 23 = -10$
14) $(-22) + (-19) - (-20)$
= $-22 - 19 + 20 = -41 + 20 = -21$
15) $(-37) + (-29) + (-21)$
= $-37 - 29 - 21 = -87$
16) $37 + 19 + (-15)$
= $37 + 19 - 15 = 56 - 15 = 41$
17) $13 + 17 + (-28)$
= $13 + 17 - 28 = 30 - 28 = 2$
18) $(-39) + (-26)$
= $-39 - 26 = -65$
19) $9 + (-14) + (-9)$
= $9 - 14 - 9 = -5 - 9 = -14$
20) $(-1) + 0 + (-7)$
= $-1 + 0 - 7 = -8$
21) $39 + (-20)$
= $39 - 20 = 19$
22) $(-17) + (-7)$
= $-17 - 7 = -24$
23) $45 + 23 - (-6)$
= $45 + 23 + 6 = 68 + 6 = 74$
24) $(-23) + (-28) - (-21)$
= $-23 - 28 + 21 = -51 + 21 = -30$
25) $(-43) + 20 + (-11)$
= $-43 + 20 - 11 = -23 - 11 = -34$
26) $47 + (-10) - (-19)$
= $47 - 10 + 19 = 37 + 19 = 56$
27) $28 + 26 + (-30)$
= $28 + 26 - 30 = 54 - 30 = 24$
28) $(-6) + (-7)$
= $-6 - 7 = -13$
29) $(-2) + (-5)$
= $-2 - 5 = -7$
30) $(-10) + 27 + (-8)$
= $-10 + 27 - 8 = 17 - 8 = 9$
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✔ Final Answers:
1) $-64$
2) $-34$
3) $-23$
4) $50$
5) $-17$
6) $12$
7) $-9$
8) $-34$
9) $22$
10) $49$
11) $14$
12) $-19$
13) $-10$
14) $-21$
15) $-87$
16) $41$
17) $2$
18) $-65$
19) $-14$
20) $-8$
21) $19$
22) $-24$
23) $74$
24) $-30$
25) $-34$
26) $56$
27) $24$
28) $-13$
29) $-7$
30) $9$
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Let me know if you'd like this formatted as a printable answer key or need explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of integers worksheet grade 8.