Adding Integers Worksheet: Practice adding positive and negative numbers using number lines.

Let's solve each problem step by step using the number line method as shown in the worksheet.

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Understanding the Rules:

- To add a positive integer, move right on the number line.
- To add a negative integer, move left on the number line.

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Problem a. $ 4 + (-6) = ? $

- Start at 4 on the number line.
- Add -6, which means move 6 units to the left.
- From 4 → 3, 2, 1, 0, -1, -2
- Final position: -2

✔ Answer: $ 4 + (-6) = -2 $

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Problem b. $ -3 + 6 = ? $

- Start at -3.
- Add 6, so move 6 units to the right.
- From -3 → -2, -1, 0, 1, 2, 3
- Final position: 3

✔ Answer: $ -3 + 6 = 3 $

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Problem c. $ -1 + (-2) = ? $

- Start at -1.
- Add -2, so move 2 units to the left.
- From -1 → -2, -3
- Final position: -3

✔ Answer: $ -1 + (-2) = -3 $

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Problem d. $ 0 + (-5) = ? $

- Start at 0.
- Add -5, so move 5 units to the left.
- From 0 → -1, -2, -3, -4, -5
- Final position: -5

✔ Answer: $ 0 + (-5) = -5 $

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Problem e. $ -4 + 5 = ? $

- Start at -4.
- Add 5, so move 5 units to the right.
- From -4 → -3, -2, -1, 0, 1
- Final position: 1

✔ Answer: $ -4 + 5 = 1 $

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✔ Final Answers:

a. $ 4 + (-6) = \boxed{-2} $
b. $ -3 + 6 = \boxed{3} $
c. $ -1 + (-2) = \boxed{-3} $
d. $ 0 + (-5) = \boxed{-5} $
e. $ -4 + 5 = \boxed{1} $

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You can verify these answers by drawing arrows on the number lines provided!