Multiplication Number Bonds worksheet for practicing multiplication with negative numbers.

Problem Description:

The task involves filling in the missing numbers in a multiplication number bonds worksheet. Each "number bond" consists of three circles: one at the top and two at the bottom. The top circle contains a product, and the two bottom circles contain factors that multiply to give the product.

Solution Approach:

To solve each number bond, we need to determine the missing factor by dividing the product (top number) by the given factor (one of the bottom numbers). The formula is:

\[
\text{Missing Factor} = \frac{\text{Product}}{\text{Given Factor}}
\]

We will apply this formula to each number bond step by step.

---

Step-by-Step Solution:

#### Row 1:
1. First Number Bond:
- Product: \(-49\)
- Given Factor: \(-7\)
- Missing Factor:
\[
\frac{-49}{-7} = 7
\]
- Answer: \(7\)

2. Second Number Bond:
- Product: \(20\)
- Given Factor: \(-4\)
- Missing Factor:
\[
\frac{20}{-4} = -5
\]
- Answer: \(-5\)

3. Third Number Bond:
- Product: \(-16\)
- Given Factor: \(-4\)
- Missing Factor:
\[
\frac{-16}{-4} = 4
\]
- Answer: \(4\)

4. Fourth Number Bond:
- Product: \(18\)
- Given Factor: \(-3\)
- Missing Factor:
\[
\frac{18}{-3} = -6
\]
- Answer: \(-6\)

---

#### Row 2:
1. First Number Bond:
- Product: \(-40\)
- Given Factor: \(-5\)
- Missing Factor:
\[
\frac{-40}{-5} = 8
\]
- Answer: \(8\)

2. Second Number Bond:
- Product: \(40\)
- Given Factor: \(-10\)
- Missing Factor:
\[
\frac{40}{-10} = -4
\]
- Answer: \(-4\)

3. Third Number Bond:
- Product: \(25\)
- Given Factor: \(-5\)
- Missing Factor:
\[
\frac{25}{-5} = -5
\]
- Answer: \(-5\)

4. Fourth Number Bond:
- Product: \(-54\)
- Given Factor: \(-6\)
- Missing Factor:
\[
\frac{-54}{-6} = 9
\]
- Answer: \(9\)

---

#### Row 3:
1. First Number Bond:
- Product: \(-36\)
- Given Factor: \(-9\)
- Missing Factor:
\[
\frac{-36}{-9} = 4
\]
- Answer: \(4\)

2. Second Number Bond:
- Product: \(30\)
- Given Factor: \(-10\)
- Missing Factor:
\[
\frac{30}{-10} = -3
\]
- Answer: \(-3\)

3. Third Number Bond:
- Product: \(15\)
- Given Factor: \(-3\)
- Missing Factor:
\[
\frac{15}{-3} = -5
\]
- Answer: \(-5\)

4. Fourth Number Bond:
- Product: \(-12\)
- Given Factor: \(-3\)
- Missing Factor:
\[
\frac{-12}{-3} = 4
\]
- Answer: \(4\)

---

#### Row 4:
1. First Number Bond:
- Product: \(-72\)
- Given Factor: \(-8\)
- Missing Factor:
\[
\frac{-72}{-8} = 9
\]
- Answer: \(9\)

2. Second Number Bond:
- Product: \(27\)
- Given Factor: \(-3\)
- Missing Factor:
\[
\frac{27}{-3} = -9
\]
- Answer: \(-9\)

3. Third Number Bond:
- Product: \(-21\)
- Given Factor: \(-3\)
- Missing Factor:
\[
\frac{-21}{-3} = 7
\]
- Answer: \(7\)

4. Fourth Number Bond:
- Product: \(32\)
- Given Factor: \(-4\)
- Missing Factor:
\[
\frac{32}{-4} = -8
\]
- Answer: \(-8\)

---

#### Row 5:
1. First Number Bond:
- Product: \(-64\)
- Given Factor: \(-8\)
- Missing Factor:
\[
\frac{-64}{-8} = 8
\]
- Answer: \(8\)

2. Second Number Bond:
- Product: \(60\)
- Given Factor: \(-10\)
- Missing Factor:
\[
\frac{60}{-10} = -6
\]
- Answer: \(-6\)

3. Third Number Bond:
- Product: \(24\)
- Given Factor: \(-3\)
- Missing Factor:
\[
\frac{24}{-3} = -8
\]
- Answer: \(-8\)

4. Fourth Number Bond:
- Product: \(-45\)
- Given Factor: \(-5\)
- Missing Factor:
\[
\frac{-45}{-5} = 9
\]
- Answer: \(9\)

---

Final Answers:

\[
\boxed{
\begin{array}{cccc}
7 & -5 & 4 & -6 \\
8 & -4 & -5 & 9 \\
4 & -3 & -5 & 4 \\
9 & -9 & 7 & -8 \\
8 & -6 & -8 & 9 \\
\end{array}
}
\]