Rounding off numbers to the nearest thousand and ten thousand ... - Free Printable

Problem Overview:

The task is to round off given numbers to the nearest thousand and the nearest ten thousand. The rules for rounding are as follows:
1. Round Up (+1): If the digit to the right of the rounding place is 5, 6, 7, 8, or 9.
2. Round Down (+0): If the digit to the right of the rounding place is 0, 1, 2, 3, or 4.
3. Always draw the symbol "≈" before writing the answer.

Steps to Solve:

1. Identify the digit in the thousands place for rounding to the nearest thousand.
2. Identify the digit in the ten thousands place for rounding to the nearest ten thousand.
3. Look at the digit immediately to the right of the identified place value.
4. Apply the rounding rules based on the digit to the right.
5. Replace all digits to the right of the rounding place with zeros.

Solution:

#### Example:
- Number: 7 026 440
- Nearest Thousand:
- Thousands place: 6 (in 7 026 440)
- Digit to the right: 4 (less than 5, so round down)
- Result: 7 026 000
- Nearest Ten Thousand:
- Ten thousands place: 2 (in 7 02 6 440)
- Digit to the right: 6 (greater than or equal to 5, so round up)
- Result: 7 030 000

Now, let's solve each problem step by step.

---

#### a. 536 911
- Nearest Thousand:
- Thousands place: 3 (in 53 6 911)
- Digit to the right: 6 (greater than or equal to 5, so round up)
- Result: 540 000
- Nearest Ten Thousand:
- Ten thousands place: 5 (in 5 36 911)
- Digit to the right: 3 (less than 5, so round down)
- Result: 500 000

#### b. 82 730
- Nearest Thousand:
- Thousands place: 2 (in 82 730)
- Digit to the right: 7 (greater than or equal to 5, so round up)
- Result: 83 000
- Nearest Ten Thousand:
- Ten thousands place: 8 (in 8 2 730)
- Digit to the right: 2 (less than 5, so round down)
- Result: 80 000

#### c. 118 118
- Nearest Thousand:
- Thousands place: 1 (in 111 818)
- Digit to the right: 8 (greater than or equal to 5, so round up)
- Result: 118 000
- Nearest Ten Thousand:
- Ten thousands place: 1 (in 11 8 118)
- Digit to the right: 8 (greater than or equal to 5, so round up)
- Result: 120 000

#### d. 3 450 604
- Nearest Thousand:
- Thousands place: 0 (in 3 450 604)
- Digit to the right: 6 (greater than or equal to 5, so round up)
- Result: 3 451 000
- Nearest Ten Thousand:
- Ten thousands place: 5 (in 3 45 0 604)
- Digit to the right: 0 (less than 5, so round down)
- Result: 3 450 000

#### e. 7 026 440
- Nearest Thousand:
- Thousands place: 6 (in 7 026 440)
- Digit to the right: 4 (less than 5, so round down)
- Result: 7 026 000
- Nearest Ten Thousand:
- Ten thousands place: 2 (in 7 02 6 440)
- Digit to the right: 6 (greater than or equal to 5, so round up)
- Result: 7 030 000

#### f. 8 165 500
- Nearest Thousand:
- Thousands place: 5 (in 8 165 500)
- Digit to the right: 5 (greater than or equal to 5, so round up)
- Result: 8 166 000
- Nearest Ten Thousand:
- Ten thousands place: 6 (in 8 16 5 500)
- Digit to the right: 5 (greater than or equal to 5, so round up)
- Result: 8 170 000

#### g. 47 777
- Nearest Thousand:
- Thousands place: 7 (in 47 777)
- Digit to the right: 7 (greater than or equal to 5, so round up)
- Result: 48 000
- Nearest Ten Thousand:
- Ten thousands place: 4 (in 4 7 777)
- Digit to the right: 7 (greater than or equal to 5, so round up)
- Result: 50 000

#### h. 391 053
- Nearest Thousand:
- Thousands place: 1 (in 391 053)
- Digit to the right: 0 (less than 5, so round down)
- Result: 391 000
- Nearest Ten Thousand:
- Ten thousands place: 9 (in 39 1 053)
- Digit to the right: 1 (less than 5, so round down)
- Result: 390 000

#### i. 3 333 333
- Nearest Thousand:
- Thousands place: 3 (in 3 333 333)
- Digit to the right: 3 (less than 5, so round down)
- Result: 3 333 000
- Nearest Ten Thousand:
- Ten thousands place: 3 (in 3 33 3 333)
- Digit to the right: 3 (less than 5, so round down)
- Result: 3 330 000

#### j. 246 344
- Nearest Thousand:
- Thousands place: 6 (in 246 344)
- Digit to the right: 3 (less than 5, so round down)
- Result: 246 000
- Nearest Ten Thousand:
- Ten thousands place: 4 (in 24 6 344)
- Digit to the right: 6 (greater than or equal to 5, so round up)
- Result: 250 000

---

Final Answers:

\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Numbers} & \text{Round off to the nearest thousand} & \text{Round off to the nearest ten thousand} \\
\hline
\text{a.} & 536 911 & 540 000 & 500 000 \\
\hline
\text{b.} & 82 730 & 83 000 & 80 000 \\
\hline
\text{c.} & 118 118 & 118 000 & 120 000 \\
\hline
\text{d.} & 3 450 604 & 3 451 000 & 3 450 000 \\
\hline
\text{e.} & 7 026 440 & 7 026 000 & 7 030 000 \\
\hline
\text{f.} & 8 165 500 & 8 166 000 & 8 170 000 \\
\hline
\text{g.} & 47 777 & 48 000 & 50 000 \\
\hline
\text{h.} & 391 053 & 391 000 & 390 000 \\
\hline
\text{i.} & 3 333 333 & 3 333 000 & 3 330 000 \\
\hline
\text{j.} & 246 344 & 246 000 & 250 000 \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|c|}
\hline
& \text{Numbers} & \text{Round off to the nearest thousand} & \text{Round off to the nearest ten thousand} \\
\hline
\text{a.} & 536 911 & 540 000 & 500 000 \\
\hline
\text{b.} & 82 730 & 83 000 & 80 000 \\
\hline
\text{c.} & 118 118 & 118 000 & 120 000 \\
\hline
\text{d.} & 3 450 604 & 3 451 000 & 3 450 000 \\
\hline
\text{e.} & 7 026 440 & 7 026 000 & 7 030 000 \\
\hline
\text{f.} & 8 165 500 & 8 166 000 & 8 170 000 \\
\hline
\text{g.} & 47 777 & 48 000 & 50 000 \\
\hline
\text{h.} & 391 053 & 391 000 & 390 000 \\
\hline
\text{i.} & 3 333 333 & 3 333 000 & 3 330 000 \\
\hline
\text{j.} & 246 344 & 246 000 & 250 000 \\
\hline
\end{array}
}