Worksheet for practicing multiplying and dividing integers with answer spaces and a QR code for a video lesson.

Problem Overview:

The task involves solving two sections of problems related to multiplying and dividing integers. Let's break it down step by step.

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Section A: Multiplying Integers

The goal is to find the product of each pair of integers. The rules for multiplying integers are:
1. Positive × Positive = Positive
2. Negative × Negative = Positive
3. Positive × Negative = Negative
4. Negative × Positive = Negative

#### Problems and Solutions:
1. (-4) × 7
- Multiply the absolute values: \(4 \times 7 = 28\)
- Since one number is negative and the other is positive, the result is negative.
- Answer: \(-28\)

2. (-8) × (-8)
- Multiply the absolute values: \(8 \times 8 = 64\)
- Since both numbers are negative, the result is positive.
- Answer: \(64\)

3. 12 × (-2)
- Multiply the absolute values: \(12 \times 2 = 24\)
- Since one number is positive and the other is negative, the result is negative.
- Answer: \(-24\)

4. (-6) × 9
- Multiply the absolute values: \(6 \times 9 = 54\)
- Since one number is negative and the other is positive, the result is negative.
- Answer: \(-54\)

5. 3 × 10
- Multiply the absolute values: \(3 \times 10 = 30\)
- Both numbers are positive, so the result is positive.
- Answer: \(30\)

6. (-15) × 2
- Multiply the absolute values: \(15 \times 2 = 30\)
- Since one number is negative and the other is positive, the result is negative.
- Answer: \(-30\)

7. 5 × (-11)
- Multiply the absolute values: \(5 \times 11 = 55\)
- Since one number is positive and the other is negative, the result is negative.
- Answer: \(-55\)

8. 14 × (-1)
- Multiply the absolute values: \(14 \times 1 = 14\)
- Since one number is positive and the other is negative, the result is negative.
- Answer: \(-14\)

9. -9 × (-3)
- Multiply the absolute values: \(9 \times 3 = 27\)
- Since both numbers are negative, the result is positive.
- Answer: \(27\)

10. 6 × 8
- Multiply the absolute values: \(6 \times 8 = 48\)
- Both numbers are positive, so the result is positive.
- Answer: \(48\)

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Section B: Dividing Integers

The goal is to find the quotient of each pair of integers. The rules for dividing integers are:
1. Positive ÷ Positive = Positive
2. Negative ÷ Negative = Positive
3. Positive ÷ Negative = Negative
4. Negative ÷ Positive = Negative

#### Problems and Solutions:
1. (-50) ÷ 5
- Divide the absolute values: \(50 ÷ 5 = 10\)
- Since one number is negative and the other is positive, the result is negative.
- Answer: \(-10\)

2. 36 ÷ 9
- Divide the absolute values: \(36 ÷ 9 = 4\)
- Both numbers are positive, so the result is positive.
- Answer: \(4\)

3. (-30) ÷ 6
- Divide the absolute values: \(30 ÷ 6 = 5\)
- Since one number is negative and the other is positive, the result is negative.
- Answer: \(-5\)

4. 40 ÷ 5
- Divide the absolute values: \(40 ÷ 5 = 8\)
- Both numbers are positive, so the result is positive.
- Answer: \(8\)

5. (-45) ÷ (-5)
- Divide the absolute values: \(45 ÷ 5 = 9\)
- Since both numbers are negative, the result is positive.
- Answer: \(9\)

6. (-36) ÷ 6
- Divide the absolute values: \(36 ÷ 6 = 6\)
- Since one number is negative and the other is positive, the result is negative.
- Answer: \(-6\)

7. (-28) ÷ (-7)
- Divide the absolute values: \(28 ÷ 7 = 4\)
- Since both numbers are negative, the result is positive.
- Answer: \(4\)

8. 28 ÷ 5
- Divide the absolute values: \(28 ÷ 5 = 5.6\)
- Both numbers are positive, so the result is positive.
- Answer: \(5.6\)

9. (-18) ÷ 6
- Divide the absolute values: \(18 ÷ 6 = 3\)
- Since one number is negative and the other is positive, the result is negative.
- Answer: \(-3\)

10. 50 ÷ 10
- Divide the absolute values: \(50 ÷ 10 = 5\)
- Both numbers are positive, so the result is positive.
- Answer: \(5\)

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Final Answers:

#### Section A: Multiplying Integers
1. \(-28\)
2. \(64\)
3. \(-24\)
4. \(-54\)
5. \(30\)
6. \(-30\)
7. \(-55\)
8. \(-14\)
9. \(27\)
10. \(48\)

#### Section B: Dividing Integers
1. \(-10\)
2. \(4\)
3. \(-5\)
4. \(8\)
5. \(9\)
6. \(-6\)
7. \(4\)
8. \(5.6\)
9. \(-3\)
10. \(5\)

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Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Section A:} & \text{Section B:} \\
1. -28 & 1. -10 \\
2. 64 & 2. 4 \\
3. -24 & 3. -5 \\
4. -54 & 4. 8 \\
5. 30 & 5. 9 \\
6. -30 & 6. -6 \\
7. -55 & 7. 4 \\
8. -14 & 8. 5.6 \\
9. 27 & 9. -3 \\
10. 48 & 10. 5 \\
\end{array}
}
\]