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Worksheet for practicing adding and subtracting integers using a number line.

A worksheet titled "Adding and Subtracting Integers" with a number line from -6 to 7, featuring 14 integer addition and subtraction problems to solve using the number line.

A worksheet titled "Adding and Subtracting Integers" with a number line from -6 to 7, featuring 14 integer addition and subtraction problems to solve using the number line.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Integers with Answers ...
Let's solve each problem step by step using the number line concept. The key idea is:

- Adding a positive number: Move to the right on the number line.
- Adding a negative number: Move to the left on the number line.
- Subtracting a positive number: Move to the left.
- Subtracting a negative number: Move to the right (because subtracting a negative is like adding a positive).

We'll go through each problem:

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1. $(-3) + 4 = ?$



Start at $-3$, move 4 units to the right:
$-3 \to -2 \to -1 \to 0 \to 1$
Answer: 1

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2. $(-5) + 7 = ?$



Start at $-5$, move 7 units to the right:
$-5 \to -4 \to -3 \to -2 \to -1 \to 0 \to 1 \to 2$
Answer: 2

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3. $2 - 7 = ?$



This is the same as $2 + (-7)$

Start at $2$, move 7 units to the left:
$2 \to 1 \to 0 \to -1 \to -2 \to -3 \to -4 \to -5$
Answer: -5

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4. $3 + 2 = ?$



Start at $3$, move 2 units to the right:
$3 \to 4 \to 5$
Answer: 5

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5. $3 + (-2) = ?$



Same as $3 - 2$: start at $3$, move 2 left:
$3 \to 2 \to 1$
Answer: 1

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6. $2 + (-8) = ?$



Same as $2 - 8$: start at $2$, move 8 left:
$2 \to 1 \to 0 \to -1 \to -2 \to -3 \to -4 \to -5 \to -6$
Answer: -6

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7. $(-4) + 11 = ?$



Start at $-4$, move 11 right:
$-4 \to -3 \to -2 \to -1 \to 0 \to 1 \to 2 \to 3 \to 4 \to 5 \to 6 \to 7$
Answer: 7

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8. $(-3) + 8 = ?$



Start at $-3$, move 8 right:
$-3 \to -2 \to -1 \to 0 \to 1 \to 2 \to 3 \to 4 \to 5$
Answer: 5

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9. $(-6) + 12 = ?$



Start at $-6$, move 12 right:
$-6 \to -5 \to -4 \to -3 \to -2 \to -1 \to 0 \to 1 \to 2 \to 3 \to 4 \to 5 \to 6$
Answer: 6

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10. $(-8) + (-1) = ?$



Same as $-8 - 1$: start at $-8$, move 1 left:
$-8 \to -9$
Answer: -9

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11. $(-2) - (-3) = ?$



Subtracting a negative = adding a positive:
So, $-2 + 3 = ?$

Start at $-2$, move 3 right:
$-2 \to -1 \to 0 \to 1$
Answer: 1

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12. $4 + (-8) = ?$



Same as $4 - 8$: start at $4$, move 8 left:
$4 \to 3 \to 2 \to 1 \to 0 \to -1 \to -2 \to -3 \to -4$
Answer: -4

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13. $3 + (-6) = ?$



Same as $3 - 6$: start at $3$, move 6 left:
$3 \to 2 \to 1 \to 0 \to -1 \to -2 \to -3$
Answer: -3

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14. $8 + (-6) = ?$



Same as $8 - 6$: start at $8$, move 6 left:
$8 \to 7 \to 6 \to 5 \to 4 \to 3 \to 2$
Answer: 2

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15. $4 + (-4) = ?$



Same as $4 - 4$: start at $4$, move 4 left:
$4 \to 3 \to 2 \to 1 \to 0$
Answer: 0

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Final Answers:



1. 1
2. 2
3. -5
4. 5
5. 1
6. -6
7. 7
8. 5
9. 6
10. -9
11. 1
12. -4
13. -3
14. 2
15. 0

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Parent Tip: Review the logic above to help your child master the concept of addition of integers worksheet.
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