Adding & Subtracting Integers Visual Learning Guide | NewPath Learning - Free Printable

Let’s solve each problem step by step.

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Problem 1: Add the integers: -4 + (-6)
When you add two negative numbers, you add their absolute values and keep the negative sign.
|-4| = 4, |-6| = 6 → 4 + 6 = 10 → so answer is -10

But wait — looking at the options: A) -10, B) -2, C) 2, D) 10
So correct choice is A

Wait — in the image, it says “Add the integers: -4 + (-6)” and circles option A? Actually, let me check again — no, in the first box, it shows:

> Add the integers:
> -4 + (-6) = ?
> A) -10
> B) -2
> C) 2
> D) 10

Yes, so answer is A

But hold on — maybe I misread. Let me go one by one carefully.

Actually, looking back — the user didn’t ask to solve all problems — but since the instruction says “solve the problem accurately”, and the image has multiple problems, perhaps we should solve them all? But the prompt says “the problem” (singular). Hmm.

Wait — re-reading the original request: “Solve the problem accurately.” And the image contains a worksheet with 8 problems. Since no specific problem is pointed out, and the assistant is to help solve homework, I think we should solve all 8 problems shown.

Let me list them clearly from the left panel:

Left Panel Problems:

1. Add: -4 + (-6) → Options: A)-10, B)-2, C)2, D)10 → Answer: A
2. Add: -7 + 9 → Options: A)-2, B)2, C)16, D)-16 → Answer: B (because -7 + 9 = 2)
3. Add: 13 + (-6) → Options: A)19, B)7, C)-7, D)-19 → Answer: B (13 - 6 = 7)
4. Subtract: -4 - 3 → Options: A)-7, B)-1, C)1, D)7 → Answer: A (-4 - 3 = -7)

Right side of left panel:

5. Subtract: 2 - (-8) → Options: A)-10, B)-6, C)6, D)10 → Answer: D (subtracting negative is adding: 2 + 8 = 10)
6. Subtract: -12 - (-6) → Options: A)-18, B)-6, C)6, D)18 → Answer: B (-12 + 6 = -6)
7. Add: 2 + (-8) → Options: A)-10, B)-6, C)6, D)10 → Answer: B (2 - 8 = -6)
8. Subtract: 10 - 14 → Options: A)-24, B)-4, C)4, D)24 → Answer: B (10 - 14 = -4)

Now, let me double-check each:

1. -4 + (-6) = -10 → A ✔
2. -7 + 9 = 2 → B ✔
3. 13 + (-6) = 7 → B ✔
4. -4 - 3 = -7 → A ✔
5. 2 - (-8) = 2 + 8 = 10 → D ✔
6. -12 - (-6) = -12 + 6 = -6 → B ✔
7. 2 + (-8) = -6 → B ✔
8. 10 - 14 = -4 → B ✔

All correct.

Final Answer:
1. A
2. B
3. B
4. A
5. D
6. B
7. B
8. B