3.) (6 pts. \( =3 \) pts. for each part) a.) Perform the operations by hand, showing your work. \( \begin{array}{llll}\text { i.) } 32.174+371.5 & \text { ii.) } 1.08-0.057 & \text { iii.) } 37.1 \times 0.47 & \text { iv.) } 138.33 \div 5.3\end{array} \)

Sure! Let’s dive into these operations step by step. i.) \[ 32.174 + 371.5 \] Align the numbers by the decimal: ``` 32.174 + 371.500 --------- 403.674 ``` Thus, \( 32.174 + 371.5 = 403.674 \). ii.) \[ 1.08 - 0.057 \] Align the numbers by the decimal: ``` 1.080 - 0.057 --------- 1.023 ``` So, \( 1.08 - 0.057 = 1.023 \). iii.) \[ 37.1 \times 0.47 \] First multiply without considering decimals: \[ 371 \times 47 = 17437 \] Now count the total decimal places (1 from 37.1 and 2 from 0.47), which is 3: ``` 17.437 ``` Hence, \( 37.1 \times 0.47 = 17.437 \). iv.) \[ 138.33 \div 5.3 \] Convert to whole numbers: \[ 13833 \div 53 = 261 \] The answer has two decimal places since 138.33 (2 decimal places) and 5.3 (1 decimal place) give a total of 3: ``` 26.1 ``` Thus, \( 138.33 \div 5.3 \approx 26.1 \). Now we have all the results: i.) \( 403.674 \) ii.) \( 1.023 \) iii.) \( 17.437 \) iv.) \( 26.1 \)