Adding Positive And Negative Integers Worksheets Kindergarten ... - Free Printable

Let's solve each expression step by step, following the rules for adding and subtracting positive and negative numbers.

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Key Rules to Remember:

1. Adding a negative number is the same as subtracting its absolute value.
- Example: $ a + (-b) = a - b $

2. Subtracting a negative number is the same as adding its absolute value.
- Example: $ a - (-b) = a + b $

3. When adding or subtracting integers:
- Same signs: Add absolute values, keep the sign.
- Different signs: Subtract smaller absolute value from larger, take the sign of the larger.

4. For decimals and fractions: Follow the same rules, convert to common denominators if needed.

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Now, let’s evaluate each problem:

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1) $(-2) + 3$

$-2 + 3 = 1$

> Answer: $ \boxed{1} $

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2) $(-14) + (-7)$

Both negative → add absolute values, keep negative sign
$14 + 7 = 21$, so $-21$

> Answer: $ \boxed{-21} $

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3) $3 - (-8)$

Subtracting a negative → add
$3 + 8 = 11$

> Answer: $ \boxed{11} $

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4) $(-9) + 14$

Different signs: $14 - 9 = 5$, take sign of larger (positive)

> Answer: $ \boxed{5} $

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5) $(-8) - (-2)$

Subtracting a negative → add
$-8 + 2 = -6$

> Answer: $ \boxed{-6} $

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6) $5 + (-8)$

Same as $5 - 8 = -3$

> Answer: $ \boxed{-3} $

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7) $(-27) - 24$

$-27 - 24 = -51$

> Answer: $ \boxed{-51} $

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8) $(-41) + (-40)$

Add negatives: $41 + 40 = 81$, so $-81$

> Answer: $ \boxed{-81} $

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9) $38 - (-17)$

Subtracting a negative → add
$38 + 17 = 55$

> Answer: $ \boxed{55} $

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10) $(-44) + (-9)$

$44 + 9 = 53$, both negative → $-53$

> Answer: $ \boxed{-53} $

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11) $(-16) - (-36)$

Subtracting negative → add
$-16 + 36 = 20$

> Answer: $ \boxed{20} $

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12) $(-6) - 24$

$-6 - 24 = -30$

> Answer: $ \boxed{-30} $

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13) $(-16) - 6 + (-5)$

Break it down:
$-16 - 6 = -22$, then $-22 + (-5) = -27$

> Answer: $ \boxed{-27} $

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14) $15 - 13 + 2$

$15 - 13 = 2$, $2 + 2 = 4$

> Answer: $ \boxed{4} $

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15) $16 - (-13) - (-5)$

First: $16 + 13 = 29$, then $29 + 5 = 34$

> Answer: $ \boxed{34} $

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16) $(-7) - (-2) - 9$

$-7 + 2 = -5$, then $-5 - 9 = -14$

> Answer: $ \boxed{-14} $

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17) $(-11) - (-14) + 7$

$-11 + 14 = 3$, $3 + 7 = 10$

> Answer: $ \boxed{10} $

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18) $7 + (-1) + 12 - 7$

$7 - 1 = 6$, $6 + 12 = 18$, $18 - 7 = 11$

> Answer: $ \boxed{11} $

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19) $6 + (-7) + (-5) - (-2)$

$6 - 7 = -1$, $-1 - 5 = -6$, $-6 + 2 = -4$

> Answer: $ \boxed{-4} $

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20) $(-3) + 5 + (-5) + 12$

$-3 + 5 = 2$, $2 - 5 = -3$, $-3 + 12 = 9$

> Answer: $ \boxed{9} $

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21) $(-11) - 8 + 1 - (-6)$

$-11 - 8 = -19$, $-19 + 1 = -18$, $-18 + 6 = -12$

> Answer: $ \boxed{-12} $

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22) $10 - (-10) - 7 - 5$

$10 + 10 = 20$, $20 - 7 = 13$, $13 - 5 = 8$

> Answer: $ \boxed{8} $

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23) $6 - 3.98$

$6.00 - 3.98 = 2.02$

> Answer: $ \boxed{2.02} $

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24) $5.8 + (-2.5)$

$5.8 - 2.5 = 3.3$

> Answer: $ \boxed{3.3} $

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25) $1.8 - (-3.7)$

$1.8 + 3.7 = 5.5$

> Answer: $ \boxed{5.5} $

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26) $7 - 2.8$

$7.0 - 2.8 = 4.2$

> Answer: $ \boxed{4.2} $

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27) $(-0.8) + (-7.2) - 5.4$

$-0.8 - 7.2 = -8.0$, $-8.0 - 5.4 = -13.4$

> Answer: $ \boxed{-13.4} $

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28) $1.7 - (-0.8) + 4.013$

$1.7 + 0.8 = 2.5$, $2.5 + 4.013 = 6.513$

> Answer: $ \boxed{6.513} $

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29) $\left(-\frac{3}{2}\right) + \frac{8}{5}$

Convert to common denominator: LCD of 2 and 5 is 10

$-\frac{3}{2} = -\frac{15}{10}$, $\frac{8}{5} = \frac{16}{10}$

$-\frac{15}{10} + \frac{16}{10} = \frac{1}{10}$

> Answer: $ \boxed{\frac{1}{10}} $

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30) $\frac{7}{4} - \left(-\frac{1}{2}\right)$

Subtracting a negative → add
$\frac{7}{4} + \frac{1}{2} = \frac{7}{4} + \frac{2}{4} = \frac{9}{4}$

> Answer: $ \boxed{\frac{9}{4}} $ or $ \boxed{2\frac{1}{4}} $

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31) $\left(-\frac{1}{5}\right) + \frac{7}{4}$

LCD of 5 and 4 is 20

$-\frac{1}{5} = -\frac{4}{20}$, $\frac{7}{4} = \frac{35}{20}$

$-\frac{4}{20} + \frac{35}{20} = \frac{31}{20}$

> Answer: $ \boxed{\frac{31}{20}} $ or $ \boxed{1\frac{11}{20}} $

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32) $\frac{2}{5} - \frac{4}{5}$

Same denominator: $\frac{2 - 4}{5} = \frac{-2}{5}$

> Answer: $ \boxed{-\frac{2}{5}} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $1$ |
| 2 | $-21$ |
| 3 | $11$ |
| 4 | $5$ |
| 5 | $-6$ |
| 6 | $-3$ |
| 7 | $-51$ |
| 8 | $-81$ |
| 9 | $55$ |
| 10 | $-53$ |
| 11 | $20$ |
| 12 | $-30$ |
| 13 | $-27$ |
| 14 | $4$ |
| 15 | $34$ |
| 16 | $-14$ |
| 17 | $10$ |
| 18 | $11$ |
| 19 | $-4$ |
| 20 | $9$ |
| 21 | $-12$ |
| 22 | $8$ |
| 23 | $2.02$ |
| 24 | $3.3$ |
| 25 | $5.5$ |
| 26 | $4.2$ |
| 27 | $-13.4$ |
| 28 | $6.513$ |
| 29 | $\frac{1}{10}$ |
| 30 | $\frac{9}{4}$ or $2\frac{1}{4}$ |
| 31 | $\frac{31}{20}$ or $1\frac{11}{20}$ |
| 32 | $-\frac{2}{5}$ |

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