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Convert ‘450 pm’ into SI unit and write ...

Convert ‘450 pm’ into SI unit and write the answer in scientific notation upto 2 significant figures.

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To convert '450 pm' (picometers) into SI units (meters) and express the answer in scientific notation up to 2 significant figures, follow these steps: ### Step-by-Step Solution: 1. **Understand the Conversion Factor**: - 1 picometer (pm) is equal to \(10^{-12}\) meters (m). 2. **Convert Picometers to Meters**: - To convert 450 pm to meters, multiply by the conversion factor: \[ 450 \, \text{pm} = 450 \times 10^{-12} \, \text{m} \] 3. **Calculate the Value**: - Perform the multiplication: \[ 450 \times 10^{-12} = 4.50 \times 10^{-10} \, \text{m} \] 4. **Express in Scientific Notation**: - The value \(4.50 \times 10^{-10}\) is already in scientific notation. However, we need to express it with 2 significant figures. 5. **Adjust for Significant Figures**: - The number \(4.50\) has 3 significant figures (4, 5, and 0). To express this in 2 significant figures, we round it: \[ 4.50 \rightarrow 4.5 \] - Therefore, the value becomes: \[ 4.5 \times 10^{-10} \, \text{m} \] ### Final Answer: \[ 4.5 \times 10^{-10} \, \text{m} \]
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