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 missing values and a list of jumbled answers on the right side. Our goal is to fill in the missing values in the table using the correct rounded numbers from the 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 provided numbers and apply the rounding rules.
- Match the rounded values with the jumbled answers on the right.

3. Verify Each Row:
- Ensure that the rounded values align with the rules and match the jumbled answers.

Solution:

#### Row 1: Number = 40,235
- To the Nearest Ten: The ones digit is 5, so round up.
\( 40,235 \rightarrow 40,240 \) (already filled).
- To the Nearest Hundred: The tens digit is 3, so round down.
\( 40,235 \rightarrow 40,200 \).
- To the Nearest Thousand: The hundreds digit is 2, so round down.
\( 40,235 \rightarrow 40,000 \).

#### Row 2: Number = 40,296
- To the Nearest Ten: The ones digit is 6, so round up.
\( 40,296 \rightarrow 40,300 \).
- To the Nearest Hundred: The tens digit is 9, so round up.
\( 40,296 \rightarrow 40,300 \) (already filled).
- To the Nearest Thousand: The hundreds digit is 2, so round down.
\( 40,296 \rightarrow 40,000 \).

#### Row 3: Number = 41,007
- To the Nearest Ten: The ones digit is 7, so round up.
\( 41,007 \rightarrow 41,010 \).
- To the Nearest Hundred: The tens digit is 0, so round down.
\( 41,007 \rightarrow 41,000 \).
- To the Nearest Thousand: The hundreds digit is 0, so round down.
\( 41,007 \rightarrow 41,000 \).

#### Row 4: Number = 40,478
- To the Nearest Ten: The ones digit is 8, so round up.
\( 40,478 \rightarrow 40,480 \).
- To the Nearest Hundred: The tens digit is 7, so round up.
\( 40,478 \rightarrow 40,500 \).
- To the Nearest Thousand: The hundreds digit is 4, so round down.
\( 40,478 \rightarrow 40,000 \).

#### Row 5: To the Nearest Hundred = 41,900, To the Nearest Thousand = 42,000
- Number: 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: The ones digit is 0, so no rounding needed.
\( 41,910 \rightarrow 41,910 \).
- To the Nearest Hundred: Already given as 41,900.
- To the Nearest Thousand: Already given as 42,000.

#### Row 6: To the Nearest Ten = 40,510, To the Nearest Thousand = 41,000
- Number: 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 40,500.
- To the Nearest Hundred: The tens digit is 0, so round down.
\( 40,500 \rightarrow 40,500 \).
- To the Nearest Thousand: Already given as 41,000.
- To the Nearest Ten: Already given as 40,510.

#### Row 7: Missing All Values
- From the remaining jumbled answers, the only number left is 41,760.
- To the Nearest Ten: The ones digit is 0, so no rounding needed.
\( 41,760 \rightarrow 41,760 \).
- To the Nearest Hundred: The tens digit is 6, so round up.
\( 41,760 \rightarrow 41,800 \).
- To the Nearest Thousand: The hundreds digit is 7, so round up.
\( 41,760 \rightarrow 42,000 \).

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 |
| 40,500 | 40,510 | 40,500 | 41,000 |
| 41,760 | 41,760 | 41,800 | 42,000 |

Final Answer:

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