Math practice worksheet focusing on multiplying and dividing positive and negative numbers with examples and rules.

Problem Overview:

The practice sheet focuses on multiplying and dividing positive and negative numbers. The key rules to remember are:
1. Same Signs: When multiplying or dividing two numbers with the same sign (both positive or both negative), the result is positive.
2. Opposite Signs: When multiplying or dividing two numbers with opposite signs (one positive and one negative), the result is negative.

We will solve each section step by step.

---

Section 1: Multiplying Positive and Negative Numbers

#### Rule: If the signs are the same, the answer is positive. If the signs are different, the answer is negative.

#### Problems:
1. $ -3 \times -5 = $
2. $ -8 \times -2 = $
3. $ -6 \times -4 = $
4. $ -8 \times -3 = $
5. $ -2 \times -6 = $
6. $ -9 \times -7 = $
7. $ -2 \times -9 = $
8. $ -7 \times -8 = $
9. $ -1 \times -3 = $
10. $ -10 \times -5 = $
11. $ -11 \times -4 = $
12. $ -12 \times -6 = $

#### Solutions:
1. $ -3 \times -5 = 15 $ (Both negative, so positive)
2. $ -8 \times -2 = 16 $ (Both negative, so positive)
3. $ -6 \times -4 = 24 $ (Both negative, so positive)
4. $ -8 \times -3 = 24 $ (Both negative, so positive)
5. $ -2 \times -6 = 12 $ (Both negative, so positive)
6. $ -9 \times -7 = 63 $ (Both negative, so positive)
7. $ -2 \times -9 = 18 $ (Both negative, so positive)
8. $ -7 \times -8 = 56 $ (Both negative, so positive)
9. $ -1 \times -3 = 3 $ (Both negative, so positive)
10. $ -10 \times -5 = 50 $ (Both negative, so positive)
11. $ -11 \times -4 = 44 $ (Both negative, so positive)
12. $ -12 \times -6 = 72 $ (Both negative, so positive)

---

Section 2: Dividing Positive and Negative Numbers

#### Rule: Same as multiplication. If the signs are the same, the answer is positive. If the signs are different, the answer is negative.

#### Problems:
1. $ -30 \div -5 = $
2. $ -80 \div -10 = $
3. $ -16 \div -4 = $
4. $ -18 \div -6 = $
5. $ -27 \div -9 = $
6. $ -45 \div -5 = $
7. $ -30 \div -6 = $
8. $ -22 \div -2 = $
9. $ -28 \div -7 = $
10. $ -63 \div -9 = $
11. $ -48 \div -6 = $
12. $ -56 \div -8 = $

#### Solutions:
1. $ -30 \div -5 = 6 $ (Both negative, so positive)
2. $ -80 \div -10 = 8 $ (Both negative, so positive)
3. $ -16 \div -4 = 4 $ (Both negative, so positive)
4. $ -18 \div -6 = 3 $ (Both negative, so positive)
5. $ -27 \div -9 = 3 $ (Both negative, so positive)
6. $ -45 \div -5 = 9 $ (Both negative, so positive)
7. $ -30 \div -6 = 5 $ (Both negative, so positive)
8. $ -22 \div -2 = 11 $ (Both negative, so positive)
9. $ -28 \div -7 = 4 $ (Both negative, so positive)
10. $ -63 \div -9 = 7 $ (Both negative, so positive)
11. $ -48 \div -6 = 8 $ (Both negative, so positive)
12. $ -56 \div -8 = 7 $ (Both negative, so positive)

---

Section 3: Multiplying and Dividing with Opposite Signs

#### Rule: If the signs are opposite, the answer is negative.

#### Problems:
1. $ 2 \times -8 = $
2. $ 4 \times -3 = $
3. $ 60 \div -5 = $
4. $ 80 \div -20 = $
5. $ -3 \times 7 = $
6. $ -8 \times 5 = $
7. $ -24 \div 6 = $
8. $ -49 \div 7 = $
9. $ 8 \times -8 = $
10. $ 12 \times -5 = $
11. $ 90 \div -5 = $
12. $ 45 \div -9 = $

#### Solutions:
1. $ 2 \times -8 = -16 $ (Opposite signs, so negative)
2. $ 4 \times -3 = -12 $ (Opposite signs, so negative)
3. $ 60 \div -5 = -12 $ (Opposite signs, so negative)
4. $ 80 \div -20 = -4 $ (Opposite signs, so negative)
5. $ -3 \times 7 = -21 $ (Opposite signs, so negative)
6. $ -8 \times 5 = -40 $ (Opposite signs, so negative)
7. $ -24 \div 6 = -4 $ (Opposite signs, so negative)
8. $ -49 \div 7 = -7 $ (Opposite signs, so negative)
9. $ 8 \times -8 = -64 $ (Opposite signs, so negative)
10. $ 12 \times -5 = -60 $ (Opposite signs, so negative)
11. $ 90 \div -5 = -18 $ (Opposite signs, so negative)
12. $ 45 \div -9 = -5 $ (Opposite signs, so negative)

---

Final Answer:

\[
\boxed{
\begin{array}{lll}
\text{Multiplication (Same Signs):} & \\
-3 \times -5 = 15 & -2 \times -6 = 12 & -1 \times -3 = 3 \\
-8 \times -2 = 16 & -9 \times -7 = 63 & -10 \times -5 = 50 \\
-6 \times -4 = 24 & -2 \times -9 = 18 & -11 \times -4 = 44 \\
-8 \times -3 = 24 & -7 \times -8 = 56 & -12 \times -6 = 72 \\
\\
\text{Division (Same Signs):} & \\
-30 \div -5 = 6 & -27 \div -9 = 3 & -28 \div -7 = 4 \\
-80 \div -10 = 8 & -45 \div -5 = 9 & -63 \div -9 = 7 \\
-16 \div -4 = 4 & -30 \div -6 = 5 & -48 \div -6 = 8 \\
-18 \div -6 = 3 & -22 \div -2 = 11 & -56 \div -8 = 7 \\
\\
\text{Multiplication/Division (Opposite Signs):} & \\
2 \times -8 = -16 & -3 \times 7 = -21 & 8 \times -8 = -64 \\
4 \times -3 = -12 & -8 \times 5 = -40 & 12 \times -5 = -60 \\
60 \div -5 = -12 & -24 \div 6 = -4 & 90 \div -5 = -18 \\
80 \div -20 = -4 & -49 \div 7 = -7 & 45 \div -9 = -5 \\
\end{array}
}
\]