\#12 i Write 0.000012001 in scientific notation. \( 0.000012001=\square \)
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To express \(0.000012001\) in scientific notation, we first need to move the decimal point 5 places to the right. This converts our number into \(1.2001\), which is between 1 and 10. Therefore, we multiply by \(10^{-5}\) to account for the shift. Hence, \(0.000012001 = 1.2001 \times 10^{-5}\). In scientific notation, it’s essential to know the rules of moving the decimal. Many people often forget to adjust the exponent when moving the decimal point left or right, leading to incorrect representations. A great rule of thumb: if you move the decimal to the left, your exponent is positive; if you move it to the right, it's negative!