Multiplying and Dividing Integers Practice Worksheet

Let's solve the Multiplying and Dividing Integers Practice worksheet step by step. I'll go through each problem, show the work, and explain the rules used.

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🔷 Rules to Remember:

1. Multiplication & Division of Integers:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative ÷ Positive = Negative
- Positive ÷ Negative = Negative
- Negative ÷ Negative = Positive

2. Order of Operations: For expressions with multiple operations, follow PEMDAS (Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction).

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## ✔ Part 1: Solve the multiplication equations

1. $-5 \times 3 = ?$

$-5 \times 3 = -15$
(Negative × Positive = Negative)

✔ Answer: -15

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2. $9 \times -2 = ?$

$9 \times -2 = -18$
(Positive × Negative = Negative)

✔ Answer: -18

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3. $-6 \times 4 = ?$

$-6 \times 4 = -24$
(Negative × Positive = Negative)

✔ Answer: -24

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4. $-3 \times 7 = ?$

$-3 \times 7 = -21$
(Negative × Positive = Negative)

✔ Answer: -21

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5. $-6 \times 8 = ?$

$-6 \times 8 = -48$
(Negative × Positive = Negative)

✔ Answer: -48

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6. $-8 \times 1 = ?$

$-8 \times 1 = -8$
(Negative × Positive = Negative)

✔ Answer: -8

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7. $-9 \times 5 = ?$

$-9 \times 5 = -45$
(Negative × Positive = Negative)

✔ Answer: -45

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8. $-4 \times -2 = ?$

$-4 \times -2 = +8$
(Negative × Negative = Positive)

✔ Answer: 8

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9. $-11 \times 6 = ?$

$-11 \times 6 = -66$
(Negative × Positive = Negative)

✔ Answer: -66

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10. $10 \times -8 = ?$

$10 \times -8 = -80$
(Positive × Negative = Negative)

✔ Answer: -80

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11. $-12 \times -4 = ?$

$-12 \times -4 = +48$
(Negative × Negative = Positive)

✔ Answer: 48

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12. $-10 \times 9 = ?$

$-10 \times 9 = -90$
(Negative × Positive = Negative)

✔ Answer: -90

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13. $8 \times -5 = ?$

$8 \times -5 = -40$
(Positive × Negative = Negative)

✔ Answer: -40

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14. $-2 \times -7 = ?$

$-2 \times -7 = +14$
(Negative × Negative = Positive)

✔ Answer: 14

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15. $5 \times -4 = ?$

$5 \times -4 = -20$
(Positive × Negative = Negative)

✔ Answer: -20

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16. $-12 \times -11 = ?$

$-12 \times -11 = +132$
(Negative × Negative = Positive)

✔ Answer: 132

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## ✔ Part 2: Solve the division equations

1. $30 \div -15 = ?$

$30 \div -15 = -2$
(Positive ÷ Negative = Negative)

✔ Answer: -2

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2. $-17 \div 7 = ?$

Wait — this is not divisible evenly, so let's check:

Actually, the problem says “division equations,” but we should only divide if it results in an integer unless specified otherwise.

But $-17 \div 7 = -2.428...$, not a whole number.

Wait — let’s double-check the original problem. It says:

> 2. $-17 \div 7 = ?$

But in standard practice problems like this, they usually use integers that divide evenly.

Wait — maybe it's a typo? Let's assume it's meant to be $-14 \div 7$ or $-21 \div 7$. But as written, it's:

$$
-17 \div 7 = -\frac{17}{7} \approx -2.428...
$$

But since this is likely for integer practice, perhaps it's a mistake.

Wait — looking at your image again: It says "Solve the division equations", and the numbers are:

> 2. $-17 \div 7 = ?$

But $-17$ is not divisible by $7$. Maybe it's a typo?

Alternatively, maybe it's -14 ÷ 7? Or -21 ÷ 7?

But based on what you provided: -17 ÷ 7

So unless it's allowed to have fractions, we might need to leave it as a fraction.

But since this is CCSS Math Content 7.NS.A.2, which involves dividing integers and interpreting quotients, and typically expects integers, let’s assume there might be a typo.

Wait — actually, let me recheck the original list carefully.

Looking back at your image description, it says:

> 2. -17 ÷ 7 = ?

That seems odd.

But perhaps it's -14 ÷ 7? Let’s look at other problems.

Wait — here’s the actual list:

> 1. 30 ÷ -15 =
> 2. -17 ÷ 7 =
> 3. -42 ÷ -6 =
> 4. 48 ÷ -8 =
> 5. -24 ÷ -8 =
> 6. -25 ÷ 5 =
> 7. -63 ÷ -9 =
> 8. 81 ÷ -9 =
> 9. -12 ÷ 2 =
> 10. 90 ÷ -10 =
> 11. -132 ÷ -12 =
> 12. -56 ÷ -7 =
> 13. 48 ÷ -12 =
> 14. -110 ÷ 10 =
> 15. -72 ÷ -8 =
> 16. 120 ÷ -10 =

Ah! So #2 is indeed $-17 \div 7$

But $-17 \div 7 = -2.428...$, which is not an integer.

This suggests either:
- A typo (maybe meant to be $-14 \div 7 = -2$), or
- The problem allows non-integer answers.

But given that all others divide evenly, it's likely a typo.

Wait — could it be $-14 \div 7$ instead?

Or perhaps $-21 \div 7$?

But as written, we’ll solve it exactly.

But let’s proceed with the ones that do divide evenly.

Let’s go one by one.

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1. $30 \div -15 = ?$

$30 \div -15 = -2$
(Positive ÷ Negative = Negative)

✔ Answer: -2

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2. $-17 \div 7 = ?$

$-17 \div 7 = -\frac{17}{7} \approx -2.428...$

But since the rest are integers, and this is unusual, this may be a typo.

Possibility: Maybe it was supposed to be $-14 \div 7 = -2$?

But as written: $-17 \div 7 = -\frac{17}{7}$

We can write it as a fraction: $-\frac{17}{7}$

But if only integers are expected, then it’s likely a typo.

Let’s move on and assume it's correct as is.

✔ Answer: $-\frac{17}{7}$ (or approximately -2.428)

But wait — let’s double-check: Is it possible the problem meant $-14 \div 7$?

No — it clearly says $-17 \div 7$

So we’ll keep it.

But for now, let’s continue.

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3. $-42 \div -6 = ?$

$-42 \div -6 = +7$
(Negative ÷ Negative = Positive)

✔ Answer: 7

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4. $48 \div -8 = ?$

$48 \div -8 = -6$
(Positive ÷ Negative = Negative)

✔ Answer: -6

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5. $-24 \div -8 = ?$

$-24 \div -8 = +3$
(Negative ÷ Negative = Positive)

✔ Answer: 3

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6. $-25 \div 5 = ?$

$-25 \div 5 = -5$
(Negative ÷ Positive = Negative)

✔ Answer: -5

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7. $-63 \div -9 = ?$

$-63 \div -9 = +7$
(Negative ÷ Negative = Positive)

✔ Answer: 7

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8. $81 \div -9 = ?$

$81 \div -9 = -9$
(Positive ÷ Negative = Negative)

✔ Answer: -9

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9. $-12 \div 2 = ?$

$-12 \div 2 = -6$
(Negative ÷ Positive = Negative)

✔ Answer: -6

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10. $90 \div -10 = ?$

$90 \div -10 = -9$
(Positive ÷ Negative = Negative)

✔ Answer: -9

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11. $-132 \div -12 = ?$

$-132 \div -12 = +11$
(Negative ÷ Negative = Positive)

✔ Answer: 11

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12. $-56 \div -7 = ?$

$-56 \div -7 = +8$
(Negative ÷ Negative = Positive)

✔ Answer: 8

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13. $48 \div -12 = ?$

$48 \div -12 = -4$
(Positive ÷ Negative = Negative)

✔ Answer: -4

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14. $-110 \div 10 = ?$

$-110 \div 10 = -11$
(Negative ÷ Positive = Negative)

✔ Answer: -11

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15. $-72 \div -8 = ?$

$-72 \div -8 = +9$
(Negative ÷ Negative = Positive)

✔ Answer: 9

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16. $120 \div -10 = ?$

$120 \div -10 = -12$
(Positive ÷ Negative = Negative)

✔ Answer: -12

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## 🟩 Final Answers:

Multiplication Section:

| Problem | Answer |
|--------|--------|
| 1. $-5 \times 3$ | -15 |
| 2. $9 \times -2$ | -18 |
| 3. $-6 \times 4$ | -24 |
| 4. $-3 \times 7$ | -21 |
| 5. $-6 \times 8$ | -48 |
| 6. $-8 \times 1$ | -8 |
| 7. $-9 \times 5$ | -45 |
| 8. $-4 \times -2$ | 8 |
| 9. $-11 \times 6$ | -66 |
| 10. $10 \times -8$ | -80 |
| 11. $-12 \times -4$ | 48 |
| 12. $-10 \times 9$ | -90 |
| 13. $8 \times -5$ | -40 |
| 14. $-2 \times -7$ | 14 |
| 15. $5 \times -4$ | -20 |
| 16. $-12 \times -11$ | 132 |

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Division Section:

| Problem | Answer |
|--------|--------|
| 1. $30 \div -15$ | -2 |
| 2. $-17 \div 7$ | $-\frac{17}{7}$ (≈ -2.428) |
| 3. $-42 \div -6$ | 7 |
| 4. $48 \div -8$ | -6 |
| 5. $-24 \div -8$ | 3 |
| 6. $-25 \div 5$ | -5 |
| 7. $-63 \div -9$ | 7 |
| 8. $81 \div -9$ | -9 |
| 9. $-12 \div 2$ | -6 |
| 10. $90 \div -10$ | -9 |
| 11. $-132 \div -12$ | 11 |
| 12. $-56 \div -7$ | 8 |
| 13. $48 \div -12$ | -4 |
| 14. $-110 \div 10$ | -11 |
| 15. $-72 \div -8$ | 9 |
| 16. $120 \div -10$ | -12 |

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## ❗ Note about Problem #2: $-17 \div 7$

This does not result in an integer. Since all other problems do, it's likely a typo.

Possible corrections:
- $-14 \div 7 = -2$
- $-21 \div 7 = -3$
- $-17 \div -1 = 17$ — not matching

But as written, the answer is $-\frac{17}{7}$

If this is a classroom worksheet, it's probably intended to be $-14 \div 7$, but we must go with what's given.

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## ✔ Summary

All problems solved using:
- Sign rules for multiplying/dividing integers
- Integer division where applicable

Let me know if you'd like a printable version or explanation for any specific problem!