Perform the following conversions. Report your answer to the correct number of significant figures. Use the "E" format to enter a number in scientific notation (ex: 6.022 × 1023 = 6.02223)
a. 145 cm₴ = Blank 1 m2
b. 0.263 m? = Blank 2 mm3
Write answers in E notation

Let's break down these conversions and report the answers in scientific notation (E notation).

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### a. **145 cm² to m²**

To convert square centimeters (cm²) to square meters (m²), we use the fact that:

\[
1 \, \text{m} = 100 \, \text{cm}
\]

This means that:

\[
1 \, \text{m}^2 = (100 \, \text{cm})^2 = 10,000 \, \text{cm}^2
\]

Thus, to convert \(145 \, \text{cm}^2\) to square meters:

\[
145 \, \text{cm}^2 \times \frac{1 \, \text{m}^2}{10,000 \, \text{cm}^2} = 0.0145 \, \text{m}^2
\]

In scientific notation:

\[
0.0145 = 1.45 \times 10^{-2}
\]

Answer for Blank 1:

\[
\boxed{1.45E-2} \, \text{m}^2
\]

---

### b. **0.263 m³ to mm³**

To convert cubic meters (m³) to cubic millimeters (mm³), we use the fact that:

\[
1 \, \text{m} = 1,000 \, \text{mm}
\]

So:

\[
1 \, \text{m}^3 = (1,000 \, \text{mm})^3 = 1,000,000,000 \, \text{mm}^3 = 1 \times 10^9 \, \text{mm}^3
\]

Now, convert \(0.263 \, \text{m}^3\) to cubic millimeters:

\[
0.263 \, \text{m}^3 \times 10^9 \, \text{mm}^3 = 2.63 \times 10^8 \, \text{mm}^3
\]

Answer for Blank 2:

\[
\boxed{2.63E8} \, \text{mm}^3
\]

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Let me know if you want further details or have questions. Here are 5 related questions:

1. How do you convert from square meters to square kilometers?
2. What is the conversion factor between cubic centimeters and cubic meters?
3. How many millimeters are in one meter?
4. What are significant figures and why are they important in conversions?
5. How can you convert cubic inches to cubic centimeters?

**Tip:** When converting areas and volumes, remember to apply the conversion factor to each dimension (square or cube the conversion factor).

Perform the following conversions. Report your answer to the correct number of significant figures. Use the 'E' format to enter a number in scientific notation. a. 145 cm² = Blank 1 m² b. 0.263 m³ = Blank 2 mm³. Write answers in E notation.

Learn how to convert 145 cm² to m² and 0.263 m³ to mm³, including detailed explanations using significant figures and scientific notation. This step-by-step guide uses dimensional analysis for correct conversions. Suitable for high school students.

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