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\begin{tabular}{l} Which of the following is equivalent to \( 3 \times 10^{-3} \) p \\ O 0.8 \\ 00.0008 \\ 00.008 \\ \hline .30 \\ \hline\end{tabular}

Ask by Wright Davies. in the United States
Mar 10,2025

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Answer

The equivalent value of \( 3 \times 10^{-3} \) p is 0.003, which is not among the given options.

Solution

To find the equivalent value of \( 3 \times 10^{-3} \) p, we need to convert this scientific notation into decimal form. 1. **Understanding the notation**: The expression \( 3 \times 10^{-3} \) means that we take the number 3 and move the decimal point 3 places to the left because of the negative exponent. 2. **Performing the conversion**: - Start with 3.0. - Move the decimal point 3 places to the left: - 1st move: 0.3 - 2nd move: 0.03 - 3rd move: 0.003 Thus, \( 3 \times 10^{-3} = 0.003 \). Now, let's compare this with the options provided: - 0.8 - 0.0008 - 0.008 - 0.30 None of these options match \( 0.003 \). Therefore, the equivalent value of \( 3 \times 10^{-3} \) p is not listed among the options provided.

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To convert \( 3 \times 10^{-3} \) p into decimal form, you multiply 3 by \( 10^{-3} \), which represents moving the decimal point three places to the left. This gives you 0.003, or in terms of your options, it seems like something might be missing. 0.008 is not equivalent, and 0.0008 is much smaller than what you need. So, \( 3 \times 10^{-3} \) p is actually 0.003, and unfortunately, none of the given options fit. Oops! Let's ensure you’re checking your calculations! Always double-check the exponent's impact on the decimal place to avoid underestimating or misplacing decimal points. If you're ever uncertain, visualizing or writing it out can save you from these pesky mistakes. It's all about those decimal dance moves!

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