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Question
when luther used his calculator to solve a problem, the calculator said the answer was 5.92e-3. which number is that equivalent to? 5.92^{-3}, 5.92 × 10^{3}, 0.000592, 592,000, 0.00592, 5,920
Step1: Recall scientific notation with E
In calculator notation, \( a\text{E}b \) means \( a\times10^{b} \). So for \( 5.92\text{E}-3 \), this is \( 5.92\times10^{-3} \).
Step2: Calculate \( 5.92\times10^{-3} \)
To convert \( 10^{-3} \) to decimal, we know that \( 10^{-3}=\frac{1}{10^{3}}=\frac{1}{1000} = 0.001 \). Then multiply by 5.92: \( 5.92\times0.001 = 0.00592 \).
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0.00592