Addition Subtraction Multiplication Division Worksheets with ... - Free Printable

Let's solve each problem step by step, following the rules for adding, subtracting, multiplying, and dividing integers.

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Rules to Remember:

1. Adding Integers:
- Same signs: Add absolute values, keep the sign.
- Different signs: Subtract smaller from larger, use the sign of the larger absolute value.

2. Subtracting Integers:
- Change subtraction to addition by changing the sign of the second number (additive inverse).
- Then follow addition rules.

3. Multiplying/Dividing Integers:
- Same signs → Positive result
- Different signs → Negative result

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Now let’s go through each problem:

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a) (-4) + 2 = ?
Different signs: 4 - 2 = 2, and since -4 has larger absolute value → -2

✔ Answer: -2

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b) 18 ÷ (-36) = ?
Different signs → negative
18 ÷ 36 = 0.5 → so -0.5

But wait — we’re dealing with integers. Let's check:
18 ÷ (-36) = -18/36 = -1/2 or -0.5
But if we expect integer answers, perhaps it's a typo? But mathematically, it's -0.5

However, in some contexts, this may be left as a fraction: -1/2

But since others are integers, maybe double-check?

Wait — actually, 18 ÷ (-36) = -0.5, but not an integer. However, the question allows decimals or fractions? Let's assume fractional answers are acceptable.

✔ Answer: -0.5 or -1/2

But let's keep it as -1/2 or -0.5 depending on format.

But wait — is it possible that it's meant to be (-36) ÷ 18? No, it's written as 18 ÷ (-36).

So:
✔ Answer: -0.5

But let's write it as a fraction: -1/2

We’ll write: -1/2

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c) (-5) + 3 = ?
Different signs: 5 - 3 = 2, and -5 has larger absolute value → -2

✔ Answer: -2

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d) 9 ÷ (-3) = ?
Different signs → negative
9 ÷ 3 = 3 → -3

✔ Answer: -3

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e) 8 + (-5) = ?
Same as 8 - 5 = 3

✔ Answer: 3

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f) 32 - (-12) = ?
Subtracting a negative → add the positive:
32 + 12 = 44

✔ Answer: 44

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g) 6 + (-10) = ?
Same as 6 - 10 = -4

✔ Answer: -4

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h) 18 - (-30) = ?
Subtracting negative → add:
18 + 30 = 48

✔ Answer: 48

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i) (-7) × 8 = ?
Different signs → negative
7 × 8 = 56 → -56

✔ Answer: -56

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j) 19 - 38 = ?
19 - 38 = -19

✔ Answer: -19

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k) (-9) × 5 = ?
Different signs → negative
9 × 5 = 45 → -45

✔ Answer: -45

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l) (-7) - 2 = ?
Same as -7 - 2 = -9

✔ Answer: -9

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m) (-10) × (-6) = ?
Same signs → positive
10 × 6 = 60 → +60

✔ Answer: 60

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n) 8 × (-4) = ?
Different signs → negative
8 × 4 = 32 → -32

✔ Answer: -32

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o) (-8) × 9 = ?
Different signs → negative
8 × 9 = 72 → -72

✔ Answer: -72

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p) 3 + (-15) = ?
Same as 3 - 15 = -12

✔ Answer: -12

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q) 24 ÷ (-2) = ?
Different signs → negative
24 ÷ 2 = 12 → -12

✔ Answer: -12

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r) 16 - (-25) = ?
Subtracting negative → add:
16 + 25 = 41

✔ Answer: 41

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s) (-3) ÷ 6 = ?
Different signs → negative
3 ÷ 6 = 0.5 → -0.5

Or as a fraction: -1/2

✔ Answer: -0.5 or -1/2

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t) 26 ÷ (-13) = ?
Different signs → negative
26 ÷ 13 = 2 → -2

✔ Answer: -2

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| a | -2 |
| b | -1/2 or -0.5 |
| c | -2 |
| d | -3 |
| e | 3 |
| f | 44 |
| g | -4 |
| h | 48 |
| i | -56 |
| j | -19 |
| k | -45 |
| l | -9 |
| m | 60 |
| n | -32 |
| o | -72 |
| p | -12 |
| q | -12 |
| r | 41 |
| s | -0.5 or -1/2 |
| t | -2 |

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🔍 Notes:

- Problems b and s result in fractions (not integers), which is okay — the operations can yield non-integers.
- Always remember: negative divided by positive = negative, etc.
- Subtracting a negative is like adding a positive.

Let me know if you'd like this formatted as a printable answer key!