Complete the following table.

\begin{tabular}{|c|c|c|c|c|}
\hline
Number & \begin{tabular}{c} Nearest \\ [tex]$10$[/tex] \end{tabular} & \begin{tabular}{c} Nearest \\ [tex]$100$[/tex] \end{tabular} & \begin{tabular}{c} Nearest \\ [tex]$1,000$[/tex] \end{tabular} & \begin{tabular}{c} Nearest \\ [tex]$10,000$[/tex] \end{tabular} \\
\hline
12,987 & & & & \\
\hline
203,320 & & & & \\
\hline
909,990 & & & & \\
\hline
898,954 & & & & \\
\hline
919,987 & & & & \\
\hline
612,236 & & & & \\
\hline
\end{tabular}



Answer :

Alright, let's complete the table through a detailed, step-by-step rounding process for each given number.

1. Number: 12,987

- Nearest [tex]\(10\)[/tex]: 12,987 rounded to the nearest 10 is 12,990.
- Nearest [tex]\(100\)[/tex]: 12,987 rounded to the nearest 100 is 13,000.
- Nearest [tex]\(1,000\)[/tex]: 12,987 rounded to the nearest 1,000 is 13,000.
- Nearest [tex]\(10,000\)[/tex]: 12,987 rounded to the nearest 10,000 is 10,000.

2. Number: 203,320

- Nearest [tex]\(10\)[/tex]: 203,320 rounded to the nearest 10 is 203,320.
- Nearest [tex]\(100\)[/tex]: 203,320 rounded to the nearest 100 is 203,300.
- Nearest [tex]\(1,000\)[/tex]: 203,320 rounded to the nearest 1,000 is 203,000.
- Nearest [tex]\(10,000\)[/tex]: 203,320 rounded to the nearest 10,000 is 200,000.

3. Number: 909,990

- Nearest [tex]\(10\)[/tex]: 909,990 rounded to the nearest 10 is 909,990.
- Nearest [tex]\(100\)[/tex]: 909,990 rounded to the nearest 100 is 910,000.
- Nearest [tex]\(1,000\)[/tex]: 909,990 rounded to the nearest 1,000 is 910,000.
- Nearest [tex]\(10,000\)[/tex]: 909,990 rounded to the nearest 10,000 is 910,000.

4. Number: 898,954

- Nearest [tex]\(10\)[/tex]: 898,954 rounded to the nearest 10 is 898,950.
- Nearest [tex]\(100\)[/tex]: 898,954 rounded to the nearest 100 is 899,000.
- Nearest [tex]\(1,000\)[/tex]: 898,954 rounded to the nearest 1,000 is 899,000.
- Nearest [tex]\(10,000\)[/tex]: 898,954 rounded to the nearest 10,000 is 900,000.

5. Number: 919,987

- Nearest [tex]\(10\)[/tex]: 919,987 rounded to the nearest 10 is 919,990.
- Nearest [tex]\(100\)[/tex]: 919,987 rounded to the nearest 100 is 920,000.
- Nearest [tex]\(1,000\)[/tex]: 919,987 rounded to the nearest 1,000 is 920,000.
- Nearest [tex]\(10,000\)[/tex]: 919,987 rounded to the nearest 10,000 is 920,000.

6. Number: 612,236

- Nearest [tex]\(10\)[/tex]: 612,236 rounded to the nearest 10 is 612,240.
- Nearest [tex]\(100\)[/tex]: 612,236 rounded to the nearest 100 is 612,200.
- Nearest [tex]\(1,000\)[/tex]: 612,236 rounded to the nearest 1,000 is 612,000.
- Nearest [tex]\(10,000\)[/tex]: 612,236 rounded to the nearest 10,000 is 610,000.

Now, let's fill in the table based on the rounded values above:

| Number | Nearest [tex]\(10\)[/tex] | Nearest [tex]\(100\)[/tex] | Nearest [tex]\(1,000\)[/tex] | Nearest [tex]\(10,000\)[/tex] |
|----------|-----------------|-----------------|-------------------|---------------------|
| 12,987 | 12,990 | 13,000 | 13,000 | 10,000 |
| 203,320 | 203,320 | 203,300 | 203,000 | 200,000 |
| 909,990 | 909,990 | 910,000 | 910,000 | 910,000 |
| 898,954 | 898,950 | 899,000 | 899,000 | 900,000 |
| 919,987 | 919,990 | 920,000 | 920,000 | 920,000 |
| 612,236 | 612,240 | 612,200 | 612,000 | 610,000 |

This table displays each number rounded to the nearest 10, 100, 1,000, and 10,000 as requested.