To calculate \( 4.8 \times 10^{-3} - 9.4 \times 10^{-6} \), we first need to express both terms with the same exponent for easier subtraction.
- Convert \( 4.8 \times 10^{-3} \) to a form that shares the same exponent as \( 9.4 \times 10^{-6} \): \[ 4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{1000}{1000} = 4.8 \times 10^{-3} \times 10^{3} \times 10^{-3} = 4.8 \times 10^{0} \times 10^{-3} = 4800 \times 10^{-6} \]
Now rewrite \( 4.8 \times 10^{-3} \): \[ 4.8 \times 10^{-3} = 4800 \times 10^{-6} \]
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Rewrite the expression: \[ 4800 \times 10^{-6} - 9.4 \times 10^{-6} = (4800 - 9.4) \times 10^{-6} \]
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Calculate \( 4800 - 9.4 \): \[ 4800 - 9.4 = 4790.6 \]
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Now substitute this back into the expression: \[ 4790.6 \times 10^{-6} \]
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Finally, express this in scientific notation. We can write \( 4790.6 \) in scientific notation as: \[ 4.7906 \times 10^{3} \] Thus, \[ 4790.6 \times 10^{-6} = 4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3} \]
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Rounding \( 4.7906 \) to two decimal places gives: \[ 4.79 \times 10^{-3} \]
So, the final answer in scientific notation is: \[ \boxed{4.79 \times 10^{-3}} \]
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