Let's solve each of the integer operations step by step, following the rules for adding, subtracting, multiplying, and dividing integers. Remember:
-
Addition/Subtraction:
- Same signs: Add absolute values, keep the sign.
- Different signs: Subtract smaller absolute value from larger, take the sign of the larger.
-
Multiplication/Division:
- Same signs: Result is positive.
- Different signs: Result is negative.
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Column 1
1.
8 + 10 =
$ 8 + 10 = 18 $
2.
7 + (-8) =
$ 7 - 8 = -1 $
3.
7 + 6 =
$ 7 + 6 = 13 $
4.
(-3) + 11 =
$ 11 - 3 = 8 $
5.
(-8) x 4 =
Negative × Positive = Negative → $ -32 $
6.
3 + (-11) =
$ 3 - 11 = -8 $
7.
(-8) x (-4) =
Negative × Negative = Positive → $ 32 $
8.
35 ÷ 5 =
$ 35 ÷ 5 = 7 $
9.
(-7) - 7 =
$ -7 - 7 = -14 $
10.
2 x 8 =
$ 2 × 8 = 16 $
---
Column 2
1.
10 + 9 =
$ 10 + 9 = 19 $
2.
16 ÷ (-4) =
Positive ÷ Negative = Negative → $ -4 $
3.
8 x (-10) =
Positive × Negative = Negative → $ -80 $
4.
(-2) + 5 =
$ 5 - 2 = 3 $
5.
(-9) x 6 =
Negative × Positive = Negative → $ -54 $
6.
1 x (-7) =
$ -7 $
7.
(-7) x (-3) =
Negative × Negative = Positive → $ 21 $
8.
7 - 6 =
$ 7 - 6 = 1 $
9.
9 - 8 =
$ 9 - 8 = 1 $
10.
4 - 10 =
$ 4 - 10 = -6 $
---
Column 3
1.
2 - 5 =
$ 2 - 5 = -3 $
2.
9 - (-11) =
Subtracting a negative = adding → $ 9 + 11 = 20 $
3.
4 - (-6) =
$ 4 + 6 = 10 $
4.
20 ÷ (-2) =
Positive ÷ Negative = Negative → $ -10 $
5.
(-1) x (-10) =
Negative × Negative = Positive → $ 10 $
6.
1 - (-9) =
$ 1 + 9 = 10 $
7.
8 + (-2) =
$ 8 - 2 = 6 $
8.
5 - (-3) =
$ 5 + 3 = 8 $
9.
3 - (-6) =
$ 3 + 6 = 9 $
10.
(-11) + 4 =
$ -11 + 4 = -7 $
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✔ Final Answers (organized):
#### Column 1:
1. 18
2. -1
3. 13
4. 8
5. -32
6. -8
7. 32
8. 7
9. -14
10. 16
#### Column 2:
1. 19
2. -4
3. -80
4. 3
5. -54
6. -7
7. 21
8. 1
9. 1
10. -6
#### Column 3:
1. -3
2. 20
3. 10
4. -10
5. 10
6. 10
7. 6
8. 8
9. 9
10. -7
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✔ All operations completed with correct signs! 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 of integers.