Since I can't view or access images directly, I can't see the specific problems in your uploaded image. However, if you provide the text of the problems (or describe them), I can help you solve and explain each one step by step.
That said, based on the title
"Add and Subtract Integers", this worksheet likely contains problems involving adding and subtracting positive and negative integers. Let me walk you through how to solve such problems using general rules and then you can apply them to your specific questions.
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🔢 Rules for Adding and Subtracting Integers:
1.
Adding Integers:
-
Same signs: Add absolute values, keep the sign.
- Example: $ 5 + 3 = 8 $
- Example: $ -4 + (-2) = -6 $
-
Different signs: Subtract smaller absolute value from larger, use the sign of the number with the larger absolute value.
- Example: $ 7 + (-3) = 4 $
- Example: $ -9 + 4 = -5 $
2.
Subtracting Integers:
- Change subtraction to addition by changing the sign of the second number (additive inverse).
- Rule: $ a - b = a + (-b) $
- Example: $ 5 - (-3) = 5 + 3 = 8 $
- Example: $ -2 - 7 = -2 + (-7) = -9 $
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Let’s go through some sample problems like those on your worksheet:
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✔ Sample Problems & Solutions:
1. $-8 + 3$
→ Different signs: $8 - 3 = 5$, take the sign of the larger absolute value (8 is negative) →
Answer: -5
2. $3 - (-2)$
→ Change to addition: $3 + 2 = 5$ →
Answer: 5
3. $-3 - (-7)$
→ $-3 + 7 = 4$ →
Answer: 4
4. $-7 + (-6)$
→ Same signs: $7 + 6 = 13$, both negative →
Answer: -13
5. $-2 - (-9)$
→ $-2 + 9 = 7$ →
Answer: 7
6. $-3 - 3$
→ $-3 + (-3) = -6$ →
Answer: -6
7. $-2 + (-7)$
→ $-2 - 7 = -9$ →
Answer: -9
8. $3 - (-8)$
→ $3 + 8 = 11$ →
Answer: 11
9. $-10 + 10$
→ Opposites →
Answer: 0
10. $-40 - (-10)$
→ $-40 + 10 = -30$ →
Answer: -30
11. $-47 - (-62)$
→ $-47 + 62 = 15$ →
Answer: 15
12. $-71 + (-86)$
→ $-71 - 86 = -157$ →
Answer: -157
13. $-42 + 0$
→ Adding zero doesn’t change value →
Answer: -42
14. $-54 + 70$
→ $70 - 54 = 16$, positive has larger abs value →
Answer: 16
15. $-92 + (-46)$
→ $-92 - 46 = -138$ →
Answer: -138
16. $-78 + 42$
→ $78 - 42 = 36$, negative has larger abs value →
Answer: -36
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🚩 Challenge Problems (likely at the end):
25. $16 + (-7) + (-6)$
→ Step-by-step:
$16 + (-7) = 9$
$9 + (-6) = 3$ →
Answer: 3
26. $-17 + 14 + (-8)$
→ $-17 + 14 = -3$
$-3 + (-8) = -11$ →
Answer: -11
27. $-2 + (-3) + 10$
→ $-2 + (-3) = -5$
$-5 + 10 = 5$ →
Answer: 5
28. $-2 + 10 - (-1)$
→ First: $-2 + 10 = 8$
Then: $8 - (-1) = 8 + 1 = 9$ →
Answer: 9
29. $-11 - (-6) - (-6)$
→ $-11 + 6 + 6 = -11 + 12 = 1$ →
Answer: 1
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✔ Tips:
- Always rewrite subtraction as addition of the opposite.
- Use a number line or think about direction: positive = right/up, negative = left/down.
- Keep track of signs carefully!
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If you can
type out the exact problems from your worksheet (especially the ones you're stuck on), I’ll give you detailed solutions and explanations for each one.
Just reply with the list of problems, and I’ll solve them all!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting integer worksheet.