Bot GPT 4-o mini To express \( 0.002 - (2.17 \times 10^{-5}) \) in scientific notation, we first convert all terms to the same exponent where possible.
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Convert \( 0.002 \) to scientific notation: \[ 0.002 = 2.0 \times 10^{-3} \]
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Now we need to align both terms. We can express \( 2.0 \times 10^{-3} \) with the same exponent as \( 2.17 \times 10^{-5} \): \[ 2.0 \times 10^{-3} = 2.0 \times 10^{-3} \times \frac{100}{100} = 200 \times 10^{-5} \]
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Now, subtract the two terms: \[ 200 \times 10^{-5} - 2.17 \times 10^{-5} = (200 - 2.17) \times 10^{-5} = 197.83 \times 10^{-5} \]
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Finally, we convert \( 197.83 \times 10^{-5} \) into proper scientific notation: \[ 197.83 \times 10^{-5} = 1.9783 \times 10^{-3} \]
So, the result of \( 0.002 - (2.17 \times 10^{-5}) \) in scientific notation is: \[ \boxed{1.9783 \times 10^{-3}} \]
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