Each problem below has an error in the answer. Find the error, explain how to correct the mistake, and correct it.  

1.  
   $\left. \begin{array} { r } { 10 } \\ { \times 0.5 } \\ \hline 50 \end{array} \right.$

   Answer (a):

   The decimal point is in the wrong place. The answer should be $5.0$.

2.  
   $\array {\ \ 467.92\\\underline{+\ 1.293}\\ \ 479.85}$

   Answer (b):

   The decimal points are not lined up. The answer should be $469.213$.

3.  
   ${\ \ 100\\\underline{-\ 62.837}\\\ \ \ \ 38.837}$

   Answer (c):

   The student did not add 0's to the 100 before subtracting. They also forgot to "borrow" when subtracting. The answer should be $37.163$.

4. 
   $\array {\ \ \ \ 1.234\\\underline{\times \ \ \ 0.003}\\\ \ \ \ 0.3702}$

   Hint (d):

   Look at part (a) for help. How many decimal places should there be in the answer?

5. 
   $\array{4006.3\\\underline{-\ \ 34.98}\\\ 3971.48}$

   Hint (e):

   Look at part (c) for help.

6. 
   $\array{\ \ \ \ \ \ 45.6\\ \ \ \ \ 32.87\\ \underline{+\ 0.003}\\ \ \ \ 374.6}$

   Hint (f):

   Look at part (b) for help. Can you quickly estimate what the answer should be close to?