Rounding Numbers - Math Worksheets - MathsDiary.com - Free Printable
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Step-by-step solution for: Rounding Numbers - Math Worksheets - MathsDiary.com
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Numbers - Math Worksheets - MathsDiary.com
To solve the problem of rounding the underlined digits in the given numbers, we need to follow these steps:
1. Identify the underlined digit.
2. Look at the digit immediately to the right of the underlined digit.
3. If the digit to the right is 5 or greater, round up the underlined digit by 1. If it is less than 5, keep the underlined digit as it is.
4. Replace all digits to the right of the underlined digit with zeros (if necessary).
Let's solve each problem step by step:
- Underlined digit: 8
- Digit to the right: 3 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 218,800 \)
- Underlined digit: 5
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 620,000 \)
- Underlined digit: 1
- Digit to the right: 1 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 38,100 \)
- Underlined digit: 2
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 3,000 \)
- Underlined digit: 1
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 20,000 \)
- Underlined digit: 0
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 8,100 \)
- Underlined digit: 7
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 800,000 \)
- Underlined digit: 5
- Digit to the right: 9 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 269,000 \)
- Underlined digit: 5
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 5,000 \)
- Underlined digit: 4
- Digit to the right: 4 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 40,000 \)
- Underlined digit: 7
- Digit to the right: 4 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 2,700 \)
- Underlined digit: 8
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 8,000 \)
- Underlined digit: 2
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 200,000 \)
- Underlined digit: 6
- Digit to the right: 2 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 637,600 \)
- Underlined digit: 0
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 3,100 \)
- Underlined digit: 4
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 4,000 \)
- Underlined digit: 3
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 4,300 \)
- Underlined digit: 9
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 7,000 \)
- Underlined digit: 4
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 5,500 \)
- Underlined digit: 0
- Digit to the right: 3 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 151,000 \)
\[
\boxed{
\begin{array}{ll}
1. & 218,800 \\
2. & 620,000 \\
3. & 38,100 \\
4. & 3,000 \\
5. & 20,000 \\
6. & 8,100 \\
7. & 800,000 \\
8. & 269,000 \\
9. & 5,000 \\
10. & 40,000 \\
11. & 2,700 \\
12. & 8,000 \\
13. & 200,000 \\
14. & 637,600 \\
15. & 3,100 \\
16. & 4,000 \\
17. & 4,300 \\
18. & 7,000 \\
19. & 5,500 \\
20. & 151,000 \\
\end{array}
}
\]
1. Identify the underlined digit.
2. Look at the digit immediately to the right of the underlined digit.
3. If the digit to the right is 5 or greater, round up the underlined digit by 1. If it is less than 5, keep the underlined digit as it is.
4. Replace all digits to the right of the underlined digit with zeros (if necessary).
Let's solve each problem step by step:
Problem 1: \( 218,\underline{8}30 \)
- Underlined digit: 8
- Digit to the right: 3 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 218,800 \)
Problem 2: \( 61\underline{5},571 \)
- Underlined digit: 5
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 620,000 \)
Problem 3: \( 38,\underline{1}11 \)
- Underlined digit: 1
- Digit to the right: 1 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 38,100 \)
Problem 4: \( \underline{2},610 \)
- Underlined digit: 2
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 3,000 \)
Problem 5: \( \underline{1}5,133 \)
- Underlined digit: 1
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 20,000 \)
Problem 6: \( 8,\underline{0}67 \)
- Underlined digit: 0
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 8,100 \)
Problem 7: \( \underline{7}64,910 \)
- Underlined digit: 7
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 800,000 \)
Problem 8: \( 268,\underline{5}99 \)
- Underlined digit: 5
- Digit to the right: 9 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 269,000 \)
Problem 9: \( \underline{5},019 \)
- Underlined digit: 5
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 5,000 \)
Problem 10: \( \underline{4}4,071 \)
- Underlined digit: 4
- Digit to the right: 4 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 40,000 \)
Problem 11: \( 2,\underline{7}44 \)
- Underlined digit: 7
- Digit to the right: 4 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 2,700 \)
Problem 12: \( \underline{8},004 \)
- Underlined digit: 8
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 8,000 \)
Problem 13: \( \underline{2}00,244 \)
- Underlined digit: 2
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 200,000 \)
Problem 14: \( 637,\underline{6}25 \)
- Underlined digit: 6
- Digit to the right: 2 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 637,600 \)
Problem 15: \( 3,\underline{0}51 \)
- Underlined digit: 0
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 3,100 \)
Problem 16: \( \underline{4},028 \)
- Underlined digit: 4
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 4,000 \)
Problem 17: \( 4,\underline{3}04 \)
- Underlined digit: 3
- Digit to the right: 0 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 4,300 \)
Problem 18: \( 6,\underline{9}54 \)
- Underlined digit: 9
- Digit to the right: 5 (equal to 5)
- Round up the underlined digit by 1.
- Result: \( 7,000 \)
Problem 19: \( 5,\underline{4}67 \)
- Underlined digit: 4
- Digit to the right: 6 (greater than 5)
- Round up the underlined digit by 1.
- Result: \( 5,500 \)
Problem 20: \( 151,\underline{0}36 \)
- Underlined digit: 0
- Digit to the right: 3 (less than 5)
- Keep the underlined digit as it is.
- Result: \( 151,000 \)
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 218,800 \\
2. & 620,000 \\
3. & 38,100 \\
4. & 3,000 \\
5. & 20,000 \\
6. & 8,100 \\
7. & 800,000 \\
8. & 269,000 \\
9. & 5,000 \\
10. & 40,000 \\
11. & 2,700 \\
12. & 8,000 \\
13. & 200,000 \\
14. & 637,600 \\
15. & 3,100 \\
16. & 4,000 \\
17. & 4,300 \\
18. & 7,000 \\
19. & 5,500 \\
20. & 151,000 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of rounding off worksheet.