Independent Practice Worksheet on Scientific Notation Multiplication and Division.

It looks like you've uploaded a worksheet titled "Scientific Notation Multiplication and Division – Independent Practice Worksheet" that contains 10 problems involving multiplication and division of numbers in scientific notation. Since I can't view images directly, I'll solve each problem based on the text you provided.

Let me go through each problem step by step and explain how to solve them.

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🔢 Scientific Notation Rules:

- Multiplication:
$$(a \times 10^m) \times (b \times 10^n) = (a \times b) \times 10^{m+n}$$
- Division:
$$(a \times 10^m) \div (b \times 10^n) = (a \div b) \times 10^{m-n}$$

We must ensure the final answer is in proper scientific notation:
→ One non-zero digit before the decimal point.

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Now let's solve each problem:

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1. $(9.32 \times 10^5) \times (1.32 \times 10^6)$

- Multiply coefficients: $9.32 \times 1.32 = 12.2924$
- Add exponents: $10^{5+6} = 10^{11}$
- Result: $12.2924 \times 10^{11}$ → not in proper form
- Convert: $1.22924 \times 10^{12}$

✔ Answer: $1.22924 \times 10^{12}$

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2. $(7.22 \times 10^8) \times (4.45 \times 10^3)$

- $7.22 \times 4.45 = 32.119$
- $10^{8+3} = 10^{11}$
- $32.119 \times 10^{11}$ → adjust to $3.2119 \times 10^{12}$

✔ Answer: $3.2119 \times 10^{12}$

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3. $(6.82 \times 10^6) \div (3.77 \times 10^4)$

- Divide coefficients: $6.82 \div 3.77 \approx 1.809$
- Subtract exponents: $10^{6-4} = 10^2$
- $1.809 \times 10^2$

✔ Answer: $1.809 \times 10^2$

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4. $(2.41 \times 10^2) \div (4.12 \times 10^6)$

- $2.41 \div 4.12 \approx 0.585$
- $10^{2-6} = 10^{-4}$
- $0.585 \times 10^{-4}$ → convert to proper scientific notation: $5.85 \times 10^{-5}$

✔ Answer: $5.85 \times 10^{-5}$

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5. $(1.09 \times 10^5) \times (2.76 \times 10^3)$

- $1.09 \times 2.76 = 2.9984$
- $10^{5+3} = 10^8$
- $2.9984 \times 10^8$

✔ Answer: $2.9984 \times 10^8$

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6. $(5.26 \times 10^5) \div (11.1 \times 10^3)$

- $5.26 \div 11.1 \approx 0.47387$
- $10^{5-3} = 10^2$
- $0.47387 \times 10^2 = 4.7387 \times 10^1$

✔ Answer: $4.7387 \times 10^1$ or $47.387$

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7. $(5.75 \times 10^4) \div (4.7 \times 10^3)$

- $5.75 \div 4.7 \approx 1.2234$
- $10^{4-3} = 10^1$
- $1.2234 \times 10^1$

✔ Answer: $1.2234 \times 10^1$

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8. $(3.38 \times 10^6) \div (7.8 \times 10^5)$

- $3.38 \div 7.8 \approx 0.4333$
- $10^{6-5} = 10^1$
- $0.4333 \times 10^1 = 4.333 \times 10^0$

✔ Answer: $4.333 \times 10^0$ or just $4.333$

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9. $(17.04 \times 10^5) \div (19.4 \times 10^3)$

First, rewrite $17.04 \times 10^5 = 1.704 \times 10^6$
and $19.4 \times 10^3 = 1.94 \times 10^4$

Now:
- $1.704 \div 1.94 \approx 0.8784$
- $10^{6-4} = 10^2$
- $0.8784 \times 10^2 = 8.784 \times 10^1$

✔ Answer: $8.784 \times 10^1$

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10. $(9.75 \times 10^6) \div (1.9 \times 10^3)$

- $9.75 \div 1.9 \approx 5.1316$
- $10^{6-3} = 10^3$
- $5.1316 \times 10^3$

✔ Answer: $5.1316 \times 10^3$

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $1.22924 \times 10^{12}$ |
| 2 | $3.2119 \times 10^{12}$ |
| 3 | $1.809 \times 10^2$ |
| 4 | $5.85 \times 10^{-5}$ |
| 5 | $2.9984 \times 10^8$ |
| 6 | $4.7387 \times 10^1$ |
| 7 | $1.2234 \times 10^1$ |
| 8 | $4.333 \times 10^0$ |
| 9 | $8.784 \times 10^1$ |
| 10 | $5.1316 \times 10^3$ |

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📝 Tips for Students:

- Always multiply/divide the coefficients first.
- Then handle the powers of 10 using exponent rules.
- Adjust the final answer so it’s in proper scientific notation (one digit before the decimal).
- Use a calculator when needed, but estimate to check reasonableness.

Let me know if you'd like this formatted as a printable PDF or want explanations in simpler terms!