Answer :
Sure, let's fill in the table with the appropriate values according to the rounding rules.
### Step 1: Round to the nearest whole number
- For 3.1276: The digit after the decimal is 1, which is less than 5, so round down to 3.
- For 312.76: The digit after the decimal is 7, which is greater than or equal to 5, so round up to 313.
- For 1.00125: The digit after the decimal is 0, which is less than 5, so round down to 1.
- For 0.0125: The digit after the decimal is 1, which is less than 5, so round down to 0.
- For 0.00125: The digit after the decimal is 0, which is less than 5, so round down to 0.
### Step 2: Round to one decimal place
- For 3.1276: The second digit after the decimal is 2, which is less than 5, so round down to 3.1.
- For 312.76: The second digit after the decimal is 6, which is greater than or equal to 5, so round up to 312.8.
- For 1.00125: The second digit after the decimal is 0, which is less than 5, so round down to 1.0.
- For 0.0125: The second digit after the decimal is 1, which is less than 5, so round down to 0.0.
- For 0.00125: The second digit after the decimal is 0, which is less than 5, so round down to 0.0.
### Step 3: Round to two decimal places
- For 3.1276: The third digit after the decimal is 7, which is greater than or equal to 5, so round up to 3.13.
- For 312.76: There is only one digit available (6) after the decimal, which is less than 5, so it remains 312.76.
- For 1.00125: The third digit after the decimal is 1, which is less than 5, so round down to 1.00.
- For 0.0125: The third digit after the decimal is 2, which is less than 5, so round down to 0.01.
- For 0.00125: The third digit (2) is less than 5, so round down to 0.00.
### Step 4: Round to three decimal places
- For 3.1276: The fourth digit after the decimal is 6, which is greater than or equal to 5, so round up to 3.128.
- For 312.76: There is no third digit, so add zeroes to maintain the format and it remains 312.76.
- For 1.00125: The fourth digit after the decimal is 2, which is less than 5, so round down to 1.001.
- For 0.0125: The fourth digit after the decimal is 5, which is greater than or equal to 5, so round up to 0.013.
- For 0.00125: The fourth digit is 5, which is greater than or equal to 5, so round up to 0.001.
Now, we can fill in the table.
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline Numbers & \begin{tabular}{c} Correct to the \\ nearest whole \\ number \end{tabular} & \begin{tabular}{c} Correct to one \\ decimal place \end{tabular} & \begin{tabular}{c} Correct to two \\ decimal places \end{tabular} & \begin{tabular}{c} Correct to three \\ decimal places \end{tabular} \\ \hline 3.1276 & 3 & 3.1 & 3.13 & 3.128 \\ \hline 312.76 & 313 & 312.8 & 312.76 & 312.76 \\ \hline 1.00125 & 1 & 1.0 & 1.00 & 1.001 \\ \hline 0.0125 & 0 & 0.0 & 0.01 & 0.013 \\ \hline 0.00125 & 0 & 0.0 & 0.00 & 0.001 \\ \hline \end{tabular} \][/tex]
This is the completed table with numbers rounded to the nearest whole number, one decimal place, two decimal places, and three decimal places.
### Step 1: Round to the nearest whole number
- For 3.1276: The digit after the decimal is 1, which is less than 5, so round down to 3.
- For 312.76: The digit after the decimal is 7, which is greater than or equal to 5, so round up to 313.
- For 1.00125: The digit after the decimal is 0, which is less than 5, so round down to 1.
- For 0.0125: The digit after the decimal is 1, which is less than 5, so round down to 0.
- For 0.00125: The digit after the decimal is 0, which is less than 5, so round down to 0.
### Step 2: Round to one decimal place
- For 3.1276: The second digit after the decimal is 2, which is less than 5, so round down to 3.1.
- For 312.76: The second digit after the decimal is 6, which is greater than or equal to 5, so round up to 312.8.
- For 1.00125: The second digit after the decimal is 0, which is less than 5, so round down to 1.0.
- For 0.0125: The second digit after the decimal is 1, which is less than 5, so round down to 0.0.
- For 0.00125: The second digit after the decimal is 0, which is less than 5, so round down to 0.0.
### Step 3: Round to two decimal places
- For 3.1276: The third digit after the decimal is 7, which is greater than or equal to 5, so round up to 3.13.
- For 312.76: There is only one digit available (6) after the decimal, which is less than 5, so it remains 312.76.
- For 1.00125: The third digit after the decimal is 1, which is less than 5, so round down to 1.00.
- For 0.0125: The third digit after the decimal is 2, which is less than 5, so round down to 0.01.
- For 0.00125: The third digit (2) is less than 5, so round down to 0.00.
### Step 4: Round to three decimal places
- For 3.1276: The fourth digit after the decimal is 6, which is greater than or equal to 5, so round up to 3.128.
- For 312.76: There is no third digit, so add zeroes to maintain the format and it remains 312.76.
- For 1.00125: The fourth digit after the decimal is 2, which is less than 5, so round down to 1.001.
- For 0.0125: The fourth digit after the decimal is 5, which is greater than or equal to 5, so round up to 0.013.
- For 0.00125: The fourth digit is 5, which is greater than or equal to 5, so round up to 0.001.
Now, we can fill in the table.
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline Numbers & \begin{tabular}{c} Correct to the \\ nearest whole \\ number \end{tabular} & \begin{tabular}{c} Correct to one \\ decimal place \end{tabular} & \begin{tabular}{c} Correct to two \\ decimal places \end{tabular} & \begin{tabular}{c} Correct to three \\ decimal places \end{tabular} \\ \hline 3.1276 & 3 & 3.1 & 3.13 & 3.128 \\ \hline 312.76 & 313 & 312.8 & 312.76 & 312.76 \\ \hline 1.00125 & 1 & 1.0 & 1.00 & 1.001 \\ \hline 0.0125 & 0 & 0.0 & 0.01 & 0.013 \\ \hline 0.00125 & 0 & 0.0 & 0.00 & 0.001 \\ \hline \end{tabular} \][/tex]
This is the completed table with numbers rounded to the nearest whole number, one decimal place, two decimal places, and three decimal places.
