Negative Numbers: Multiplication and Division Facts - Free Printable

The image you provided is a worksheet involving arithmetic operations with negative numbers. The task is to solve the problems and verify the answers using the "Answer Key" provided on the right side of the worksheet. Below, I will explain how each problem is solved step by step.

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Worksheet Problems and Solutions

#### 1. Addition and Subtraction
1. -56 + (-8) = ?
- Adding two negative numbers:
\[
-56 + (-8) = -56 - 8 = -64
\]
- Correct Answer: \(-64\) (not \(7\))

2. (-9) × 1 = ?
- Multiplying a negative number by 1:
\[
(-9) × 1 = -9
\]
- Correct Answer: \(-9\) (not \(-5\))

3. -6 × 6 = ?
- Multiplying a negative number by a positive number:
\[
-6 × 6 = -36
\]
- Correct Answer: \(-36\) (correct)

4. -6 + (+2) = ?
- Adding a negative number and a positive number:
\[
-6 + 2 = -4
\]
- Correct Answer: \(-4\) (not \(3\))

5. 5 × (-6) = ?
- Multiplying a positive number by a negative number:
\[
5 × (-6) = -30
\]
- Correct Answer: \(-30\) (correct)

6. 8 × (-2) = ?
- Multiplying a positive number by a negative number:
\[
8 × (-2) = -16
\]
- Correct Answer: \(-16\) (correct)

7. (-6) × 7 = ?
- Multiplying a negative number by a positive number:
\[
(-6) × 7 = -42
\]
- Correct Answer: \(-42\) (correct)

8. (-1) × 3 = ?
- Multiplying a negative number by a positive number:
\[
(-1) × 3 = -3
\]
- Correct Answer: \(-3\) (correct)

#### 2. Division
9. -9 ÷ 3 = ?
- Dividing a negative number by a positive number:
\[
-9 ÷ 3 = -3
\]
- Correct Answer: \(-3\) (correct)

10. -54 ÷ 6 = ?
- Dividing a negative number by a positive number:
\[
-54 ÷ 6 = -9
\]
- Correct Answer: \(-9\) (correct)

11. 12 ÷ (-2) = ?
- Dividing a positive number by a negative number:
\[
12 ÷ (-2) = -6
\]
- Correct Answer: \(-6\) (correct)

12. (-9) × (-6) = ?
- Multiplying two negative numbers:
\[
(-9) × (-6) = 54
\]
- Correct Answer: \(54\) (correct)

13. (-6) × (-4) = ?
- Multiplying two negative numbers:
\[
(-6) × (-4) = 24
\]
- Correct Answer: \(24\) (correct)

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Summary of Correct Answers

Here are the correct answers for all the problems:
1. \(-56 + (-8) = -64\)
2. \((-9) × 1 = -9\)
3. \(-6 × 6 = -36\)
4. \(-6 + (+2) = -4\)
5. \(5 × (-6) = -30\)
6. \(8 × (-2) = -16\)
7. \((-6) × 7 = -42\)
8. \((-1) × 3 = -3\)
9. \(-9 ÷ 3 = -3\)
10. \(-54 ÷ 6 = -9\)
11. \(12 ÷ (-2) = -6\)
12. \((-9) × (-6) = 54\)
13. \((-6) × (-4) = 24\)

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Final Answer

The corrected answer key is:
\[
\boxed{-64, -9, -36, -4, -30, -16, -42, -3, -3, -9, -6, 54, 24}
\]