Multiplying & Dividing Rational Numbers: Notes, Skills Practice, and Application Practice Pack.

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To help you effectively, I’ll need the specific math problem or task from the worksheet that you'd like solved. But since I can’t see the content of the individual problems, I can still provide a general explanation on how to multiply and divide rational numbers, which is likely the topic of this pack.

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🔢 What Are Rational Numbers?

Rational numbers are numbers that can be expressed as a fraction $\frac{a}{b}$, where $a$ and $b$ are integers and $b \neq 0$. This includes:
- Integers (e.g., $-3$, $5$)
- Fractions (e.g., $\frac{2}{3}$)
- Decimals that terminate or repeat (e.g., $0.75$, $0.\overline{3}$)

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✔ How to Multiply Rational Numbers

#### Step-by-step:
1. Convert all numbers to fractions (if needed).
2. Multiply numerators together.
3. Multiply denominators together.
4. Simplify the result.

Example:
$$
\frac{2}{3} \times \left(-\frac{4}{5}\right) = \frac{2 \times (-4)}{3 \times 5} = \frac{-8}{15}
$$

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✔ How to Divide Rational Numbers

#### Step-by-step:
1. Convert all numbers to fractions.
2. Multiply by the reciprocal of the divisor.
3. Simplify.

Example:
$$
\frac{3}{4} \div \left(-\frac{2}{5}\right) = \frac{3}{4} \times \left(-\frac{5}{2}\right) = \frac{3 \times (-5)}{4 \times 2} = \frac{-15}{8}
$$

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📌 Key Rules:

- Signs:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Same rule applies for division.
- Always simplify final answers.

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🧩 Example Problems (Common in Such Packs):

1. Multiply: $-2.5 \times \frac{4}{5}$
→ Convert $-2.5 = -\frac{5}{2}$
→ $-\frac{5}{2} \times \frac{4}{5} = -\frac{20}{10} = -2$

2. Divide: $\frac{7}{8} \div (-1.4)$
→ $-1.4 = -\frac{14}{10} = -\frac{7}{5}$
→ $\frac{7}{8} \div \left(-\frac{7}{5}\right) = \frac{7}{8} \times \left(-\frac{5}{7}\right) = -\frac{35}{56} = -\frac{5}{8}$

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📚 What's in This Practice Pack?

Based on the cover, this resource likely includes:
- Notes – explanations and examples
- Skills Practice – straightforward computation problems
- Application Practice – word problems using real-life contexts (e.g., money, temperature, measurement)

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🔍 Please provide the specific problem from the worksheet (either type it out or describe it), and I’ll walk you through solving it step by step with full explanation!

Let me know!