Lesson Plans | Rounding to the Nearest Ten, Hundred, Thousand - Free Printable

Problem Overview:

The task involves rounding numbers to the nearest ten, hundred, and thousand. We are given a table with some numbers and their rounded values in certain columns, and we need to fill in the missing entries using the provided "jumbled answers."

Steps to Solve:

1. Understand Rounding Rules:
- Nearest Ten: Look at the digit in the ones place. If it is 5 or greater, round up; otherwise, round down.
- Nearest Hundred: Look at the digit in the tens place. If it is 5 or greater, round up; otherwise, round down.
- Nearest Thousand: Look at the digit in the hundreds place. If it is 5 or greater, round up; otherwise, round down.

2. Fill in the Table:
- Use the given numbers and apply the rounding rules.
- Match the results with the "jumbled answers" provided.

3. Complete the Table:
- Ensure all entries are consistent with the rounding rules and the jumbled answers.

Solution:

#### Row 1: Number = 40,235
- To the Nearest Ten: Already given as 40,240.
- To the Nearest Hundred: Look at the tens place (3). Since 3 < 5, round down to 40,200.
- To the Nearest Thousand: Look at the hundreds place (2). Since 2 < 5, round down to 40,000.

#### Row 2: Number = 40,296
- To the Nearest Ten: Look at the ones place (6). Since 6 ≥ 5, round up to 40,300.
- To the Nearest Hundred: Already given as 40,300.
- To the Nearest Thousand: Look at the hundreds place (2). Since 2 < 5, round down to 40,000.

#### Row 3: Number = 41,007
- To the Nearest Ten: Look at the ones place (7). Since 7 ≥ 5, round up to 41,010.
- To the Nearest Hundred: Look at the tens place (0). Since 0 < 5, round down to 41,000.
- To the Nearest Thousand: Look at the hundreds place (0). Since 0 < 5, round down to 41,000.

#### Row 4: Number = 40,478
- To the Nearest Ten: Look at the ones place (8). Since 8 ≥ 5, round up to 40,480.
- To the Nearest Hundred: Look at the tens place (7). Since 7 ≥ 5, round up to 40,500.
- To the Nearest Thousand: Look at the hundreds place (4). Since 4 < 5, round down to 40,000.

#### Row 5: To the Nearest Hundred = 41,900 and To the Nearest Thousand = 42,000
- The number must be between 41,850 and 41,949 (to round to 41,900 for the nearest hundred and 42,000 for the nearest thousand).
- From the jumbled answers, the only number fitting this range is 41,910.
- To the Nearest Ten: Look at the ones place (0). Since 0 < 5, round down to 41,910.

#### Row 6: To the Nearest Ten = 40,510 and To the Nearest Thousand = 41,000
- The number must be between 40,505 and 40,514 (to round to 40,510 for the nearest ten) and between 40,500 and 41,499 (to round to 41,000 for the nearest thousand).
- From the jumbled answers, the only number fitting this range is 40,514.
- To the Nearest Hundred: Look at the tens place (1). Since 1 < 5, round down to 40,500.

#### Row 7: Missing Entries
- From the remaining jumbled answers, the only number left is 41,760.
- To the Nearest Ten: Look at the ones place (0). Since 0 < 5, round down to 41,760.
- To the Nearest Hundred: Look at the tens place (6). Since 6 ≥ 5, round up to 41,800.
- To the Nearest Thousand: Look at the hundreds place (7). Since 7 ≥ 5, round up to 42,000.

Final Table:

| Number | To the Nearest Ten | To the Nearest Hundred | To the Nearest Thousand |
|-----------|---------------------|------------------------|-------------------------|
| 40,235 | 40,240 | 40,200 | 40,000 |
| 40,296 | 40,300 | 40,300 | 40,000 |
| 41,007 | 41,010 | 41,000 | 41,000 |
| 40,478 | 40,480 | 40,500 | 40,000 |
| 41,910 | 41,910 | 41,900 | 42,000 |
| 40,514 | 40,510 | 40,500 | 41,000 |
| 41,760 | 41,760 | 41,800 | 42,000 |

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Number} & \text{To the Nearest Ten} & \text{To the Nearest Hundred} & \text{To the Nearest Thousand} \\
\hline
40,235 & 40,240 & 40,200 & 40,000 \\
40,296 & 40,300 & 40,300 & 40,000 \\
41,007 & 41,010 & 41,000 & 41,000 \\
40,478 & 40,480 & 40,500 & 40,000 \\
41,910 & 41,910 & 41,900 & 42,000 \\
40,514 & 40,510 & 40,500 & 41,000 \\
41,760 & 41,760 & 41,800 & 42,000 \\
\hline
\end{array}
}
\]