Rounding Numbers - Math Worksheets - MathsDiary.com - Free Printable

Problem: Rounding Numbers

The task is to round each number to the underlined digit. Let's solve each problem step by step.

#### Rounding Rules Recap:
1. Identify the digit to be rounded (the underlined digit).
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 (if necessary).

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Solutions:

#### 1. \( 9,0\underline{5}9 \)
- Underlined digit: 5
- Digit to the right: 9 (which is ≥ 5)
- Round up the 5 to 6.
- Result: \( 9,060 \)

#### 2. \( 2,1\underline{9}8 \)
- Underlined digit: 9
- Digit to the right: 8 (which is ≥ 5)
- Round up the 9 to 10. This causes a carry-over:
- 9 becomes 0, and the next digit (1) increases by 1.
- Result: \( 2,200 \)

#### 3. \( 1,\underline{4}07 \)
- Underlined digit: 4
- Digit to the right: 0 (which is < 5)
- Keep the 4 as it is.
- Result: \( 1,400 \)

#### 4. \( 9,\underline{0}20 \)
- Underlined digit: 0
- Digit to the right: 2 (which is < 5)
- Keep the 0 as it is.
- Result: \( 9,000 \)

#### 5. \( \underline{9}3,040 \)
- Underlined digit: 9
- Digit to the right: 3 (which is < 5)
- Keep the 9 as it is.
- Result: \( 90,000 \)

#### 6. \( 85,\underline{5}12 \)
- Underlined digit: 5
- Digit to the right: 1 (which is < 5)
- Keep the 5 as it is.
- Result: \( 85,500 \)

#### 7. \( \underline{9},103 \)
- Underlined digit: 9
- Digit to the right: 1 (which is < 5)
- Keep the 9 as it is.
- Result: \( 10,000 \)

#### 8. \( \underline{1}43,017 \)
- Underlined digit: 1
- Digit to the right: 4 (which is < 5)
- Keep the 1 as it is.
- Result: \( 100,000 \)

#### 9. \( \underline{2}1,572 \)
- Underlined digit: 2
- Digit to the right: 1 (which is < 5)
- Keep the 2 as it is.
- Result: \( 20,000 \)

#### 10. \( 4,\underline{0}95 \)
- Underlined digit: 0
- Digit to the right: 9 (which is ≥ 5)
- Round up the 0 to 1.
- Result: \( 4,100 \)

#### 11. \( 77,\underline{0}93 \)
- Underlined digit: 0
- Digit to the right: 9 (which is ≥ 5)
- Round up the 0 to 1.
- Result: \( 77,100 \)

#### 12. \( \underline{3}90,896 \)
- Underlined digit: 3
- Digit to the right: 9 (which is ≥ 5)
- Round up the 3 to 4.
- Result: \( 400,000 \)

#### 13. \( \underline{4}59,546 \)
- Underlined digit: 4
- Digit to the right: 5 (which is ≥ 5)
- Round up the 4 to 5.
- Result: \( 500,000 \)

#### 14. \( 5,\underline{4}40 \)
- Underlined digit: 4
- Digit to the right: 4 (which is < 5)
- Keep the 4 as it is.
- Result: \( 5,400 \)

#### 15. \( 17,\underline{7}41 \)
- Underlined digit: 7
- Digit to the right: 4 (which is < 5)
- Keep the 7 as it is.
- Result: \( 17,700 \)

#### 16. \( 185,\underline{9}44 \)
- Underlined digit: 9
- Digit to the right: 4 (which is < 5)
- Keep the 9 as it is.
- Result: \( 185,900 \)

#### 17. \( 214,\underline{0}21 \)
- Underlined digit: 0
- Digit to the right: 2 (which is < 5)
- Keep the 0 as it is.
- Result: \( 214,000 \)

#### 18. \( \underline{7},929 \)
- Underlined digit: 7
- Digit to the right: 9 (which is ≥ 5)
- Round up the 7 to 8.
- Result: \( 8,000 \)

#### 19. \( \underline{4}3,492 \)
- Underlined digit: 4
- Digit to the right: 3 (which is < 5)
- Keep the 4 as it is.
- Result: \( 40,000 \)

#### 20. \( 5,\underline{4}17 \)
- Underlined digit: 4
- Digit to the right: 1 (which is < 5)
- Keep the 4 as it is.
- Result: \( 5,400 \)

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Final Answers:

1. \( 9,060 \)
2. \( 2,200 \)
3. \( 1,400 \)
4. \( 9,000 \)
5. \( 90,000 \)
6. \( 85,500 \)
7. \( 10,000 \)
8. \( 100,000 \)
9. \( 20,000 \)
10. \( 4,100 \)
11. \( 77,100 \)
12. \( 400,000 \)
13. \( 500,000 \)
14. \( 5,400 \)
15. \( 17,700 \)
16. \( 185,900 \)
17. \( 214,000 \)
18. \( 8,000 \)
19. \( 40,000 \)
20. \( 5,400 \)

\boxed{
\begin{array}{ll}
1. & 9,060 \\
2. & 2,200 \\
3. & 1,400 \\
4. & 9,000 \\
5. & 90,000 \\
6. & 85,500 \\
7. & 10,000 \\
8. & 100,000 \\
9. & 20,000 \\
10. & 4,100 \\
11. & 77,100 \\
12. & 400,000 \\
13. & 500,000 \\
14. & 5,400 \\
15. & 17,700 \\
16. & 185,900 \\
17. & 214,000 \\
18. & 8,000 \\
19. & 40,000 \\
20. & 5,400 \\
\end{array}
}