How to Add Integers? Addition of Integers - Free Printable

Let's solve each of the addition of integers problems step by step, using the rules provided:

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Rules Recap:

- Same signs: Add the absolute values and keep the common sign.
- Different signs: Subtract the smaller absolute value from the larger one, and use the sign of the number with the greater absolute value.

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1.) $-8 + (-12)$

- Both numbers have the same sign (negative).
- Add their absolute values:
$| -8 | = 8$, $| -12 | = 12$
$8 + 12 = 20$
- Use the common sign (negative):
$-20$

✔ Answer: $-20$

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2.) $14 + (-4)$

- Different signs (positive and negative).
- Absolute values: $|14| = 14$, $|-4| = 4$
- Subtract the smaller from the larger: $14 - 4 = 10$
- The sign of the number with the greater absolute value is positive (14), so the result is positive.

✔ Answer: $10$

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3.) $-15 + 3$

- Different signs (negative and positive).
- Absolute values: $|-15| = 15$, $|3| = 3$
- Subtract: $15 - 3 = 12$
- The number with the greater absolute value is $-15$, which is negative, so the result is negative.

✔ Answer: $-12$

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4.) $-30 + (-40)$

- Same signs (both negative).
- Add absolute values: $| -30 | = 30$, $| -40 | = 40$
$30 + 40 = 70$
- Keep the common sign (negative).

✔ Answer: $-70$

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✔ Final Answers:

1. $-8 + (-12) = \boxed{-20}$
2. $14 + (-4) = \boxed{10}$
3. $-15 + 3 = \boxed{-12}$
4. $-30 + (-40) = \boxed{-70}$

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