Rounding numbers worksheet with underlined digits and example solutions.

Problem Analysis:

The task involves rounding numbers to the underlined digit. Rounding is a process of approximating a number to a specified place value (e.g., tens, hundreds, thousands). The rules for rounding are as follows:
1. Identify the digit to which you are rounding.
2. Look at the digit immediately to the right of the underlined digit.
- If this digit is 5 or greater, round up the underlined digit by 1.
- If this digit is less than 5, keep the underlined digit as it is.
3. Replace all digits to the right of the underlined digit with zeros.

Solution:

#### Part 1: Round the following numbers off to the underlined digit.
We will go through each number step by step.

1. 2,544,160
- Underlined digit: 4 (thousands place)
- Digit to the right: 4
- Since 4 < 5, do not round up.
- Result: 2,544,000

2. 4,125,591
- Underlined digit: 5 (hundreds place)
- Digit to the right: 9
- Since 9 ≥ 5, round up.
- Result: 4,126,000

3. 1,601,000
- Underlined digit: 6 (hundreds of thousands place)
- Digit to the right: 0
- Since 0 < 5, do not round up.
- Result: 1,600,000

4. 5,098,786
- Underlined digit: 9 (tens of thousands place)
- Digit to the right: 8
- Since 8 ≥ 5, round up.
- Result: 5,100,000

5. 4,908,997
- Underlined digit: 0 (hundreds of thousands place)
- Digit to the right: 8
- Since 8 ≥ 5, round up.
- Result: 5,000,000

6. 8,522,334
- Underlined digit: 2 (thousands place)
- Digit to the right: 3
- Since 3 < 5, do not round up.
- Result: 8,522,000

7. 3,543,445
- Underlined digit: 4 (hundreds of thousands place)
- Digit to the right: 3
- Since 3 < 5, do not round up.
- Result: 3,500,000

8. 9,116,154
- Underlined digit: 1 (millions place)
- Digit to the right: 1
- Since 1 < 5, do not round up.
- Result: 9,000,000

9. 6,501,321
- Underlined digit: 5 (hundreds of thousands place)
- Digit to the right: 0
- Since 0 < 5, do not round up.
- Result: 6,500,000

10. 3,000,088
- Underlined digit: 0 (thousands place)
- Digit to the right: 0
- Since 0 < 5, do not round up.
- Result: 3,000,000

11. 5,668,109
- Underlined digit: 6 (hundreds of thousands place)
- Digit to the right: 6
- Since 6 ≥ 5, round up.
- Result: 5,700,000

12. 5,540,190
- Underlined digit: 4 (tens of thousands place)
- Digit to the right: 0
- Since 0 < 5, do not round up.
- Result: 5,540,000

13. 7,550,430
- Underlined digit: 5 (hundreds of thousands place)
- Digit to the right: 5
- Since 5 ≥ 5, round up.
- Result: 7,600,000

14. 9,228,500
- Underlined digit: 2 (tens of thousands place)
- Digit to the right: 8
- Since 8 ≥ 5, round up.
- Result: 9,230,000

#### Final Answers for Part 1:
```
2,544,160 → 2,544,000
4,125,591 → 4,126,000
1,601,000 → 1,600,000
5,098,786 → 5,100,000
4,908,997 → 5,000,000
8,522,334 → 8,522,000
3,543,445 → 3,500,000
9,116,154 → 9,000,000
6,501,321 → 6,500,000
3,000,088 → 3,000,000
5,668,109 → 5,700,000
5,540,190 → 5,540,000
7,550,430 → 7,600,000
9,228,500 → 9,230,000
```

#### Part 2: Underline the digits to which the following numbers are rounded off.
We need to identify the place value to which each number is rounded.

1. 2,124,154 → 2,120,000
- Rounded to the thousands place.
- Underlined digit: 2

2. 2,511,009 → 3,000,000
- Rounded to the millions place.
- Underlined digit: 2

3. 566,901 → 600,000
- Rounded to the hundreds of thousands place.
- Underlined digit: 5

4. 356,100 → 360,000
- Rounded to the ten thousands place.
- Underlined digit: 5

5. 4,091,557 → 4,092,000
- Rounded to the thousands place.
- Underlined digit: 1

6. 1,221,335 → 1,221,340
- Rounded to the tens place.
- Underlined digit: 3

7. 1,221,155 → 1,000,000
- Rounded to the millions place.
- Underlined digit: 1

8. 1,073,124 → 1,100,000
- Rounded to the hundreds of thousands place.
- Underlined digit: 0

9. 7,121,140 → 7,121,100
- Rounded to the tens place.
- Underlined digit: 4

10. 501,647 → 502,000
- Rounded to the thousands place.
- Underlined digit: 1

11. 541,244 → 540,000
- Rounded to the ten thousands place.
- Underlined digit: 4

12. 1,990,908 → 1,990,900
- Rounded to the tens place.
- Underlined digit: 8

13. 3,779,400 → 3,800,000
- Rounded to the hundreds of thousands place.
- Underlined digit: 7

14. 3,241,678 → 3,000,000
- Rounded to the millions place.
- Underlined digit: 3

#### Final Answers for Part 2:
```
2,124,154 → 2,120,000 (Underlined digit: 2)
2,511,009 → 3,000,000 (Underlined digit: 2)
566,901 → 600,000 (Underlined digit: 5)
356,100 → 360,000 (Underlined digit: 5)
4,091,557 → 4,092,000 (Underlined digit: 1)
1,221,335 → 1,221,340 (Underlined digit: 3)
1,221,155 → 1,000,000 (Underlined digit: 1)
1,073,124 → 1,100,000 (Underlined digit: 0)
7,121,140 → 7,121,100 (Underlined digit: 4)
501,647 → 502,000 (Underlined digit: 1)
541,244 → 540,000 (Underlined digit: 4)
1,990,908 → 1,990,900 (Underlined digit: 8)
3,779,400 → 3,800,000 (Underlined digit: 7)
3,241,678 → 3,000,000 (Underlined digit: 3)
```

Final Answer:

\boxed{
\begin{array}{ll}
\text{Part 1:} & \begin{array}{ll}
2,544,160 \rightarrow 2,544,000 & 4,125,591 \rightarrow 4,126,000 \\
1,601,000 \rightarrow 1,600,000 & 5,098,786 \rightarrow 5,100,000 \\
4,908,997 \rightarrow 5,000,000 & 8,522,334 \rightarrow 8,522,000 \\
3,543,445 \rightarrow 3,500,000 & 9,116,154 \rightarrow 9,000,000 \\
6,501,321 \rightarrow 6,500,000 & 3,000,088 \rightarrow 3,000,000 \\
5,668,109 \rightarrow 5,700,000 & 5,540,190 \rightarrow 5,540,000 \\
7,550,430 \rightarrow 7,600,000 & 9,228,500 \rightarrow 9,230,000 \\
\end{array} \\
\text{Part 2:} & \begin{array}{ll}
2,124,154 \rightarrow 2,120,000 & (\text{Underlined digit: } 2) \\
2,511,009 \rightarrow 3,000,000 & (\text{Underlined digit: } 2) \\
566,901 \rightarrow 600,000 & (\text{Underlined digit: } 5) \\
356,100 \rightarrow 360,000 & (\text{Underlined digit: } 5) \\
4,091,557 \rightarrow 4,092,000 & (\text{Underlined digit: } 1) \\
1,221,335 \rightarrow 1,221,340 & (\text{Underlined digit: } 3) \\
1,221,155 \rightarrow 1,000,000 & (\text{Underlined digit: } 1) \\
1,073,124 \rightarrow 1,100,000 & (\text{Underlined digit: } 0) \\
7,121,140 \rightarrow 7,121,100 & (\text{Underlined digit: } 4) \\
501,647 \rightarrow 502,000 & (\text{Underlined digit: } 1) \\
541,244 \rightarrow 540,000 & (\text{Underlined digit: } 4) \\
1,990,908 \rightarrow 1,990,900 & (\text{Underlined digit: } 8) \\
3,779,400 \rightarrow 3,800,000 & (\text{Underlined digit: } 7) \\
3,241,678 \rightarrow 3,000,000 & (\text{Underlined digit: } 3) \\
\end{array}
\end{array}
}