rite each of the following numbers in standard form:- \( \begin{array}{ll}0.142 & \text { b. } 0.0032\end{array} \)

To write the given numbers in standard form (also known as scientific notation), we express them as a product of a number between 1 and 10 and a power of 10. a. For \(0.142\): - Move the decimal point to the right until you have a number between 1 and 10. In this case, we move the decimal point one place to the right, which gives us \(1.42\). - Since we moved the decimal point one place to the right, we multiply by \(10^{-1}\). Thus, \(0.142\) in standard form is: \[ 1.42 \times 10^{-1} \] b. For \(0.0032\): - Move the decimal point to the right until you have a number between 1 and 10. Here, we move the decimal point three places to the right, giving us \(3.2\). - Since we moved the decimal point three places to the right, we multiply by \(10^{-3}\). Thus, \(0.0032\) in standard form is: \[ 3.2 \times 10^{-3} \] In summary: - \(0.142 = 1.42 \times 10^{-1}\) - \(0.0032 = 3.2 \times 10^{-3}\)