Grade 4 Place Value & Rounding Worksheets | Worsheets library - Free Printable
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Step-by-step solution for: Grade 4 Place Value & Rounding Worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Place Value & Rounding Worksheets | Worsheets library
To solve these problems, we need to round each number to the place value of the underlined digit.
Here is the rule:
1. Look at the underlined digit. This is the digit we are rounding to.
2. Look at the digit immediately to its right.
3. If that digit is 5 or greater (5, 6, 7, 8, 9), we round up (add 1 to the underlined digit).
4. If that digit is less than 5 (0, 1, 2, 3, 4), we keep the underlined digit the same (round down).
5. Change all digits to the right of the underlined digit to zeros.
Let's go through them one by one:
1. 5<u>8</u>,914: The underlined digit is 8 (thousands place). The digit to the right is 9. Since 9 is 5 or greater, we round up. 8 becomes 9. The rest become zeros.
Result: 59,000
2. 77,<u>4</u>53: The underlined digit is 4 (hundreds place). The digit to the right is 5. Since 5 is 5 or greater, we round up. 4 becomes 5. The rest become zeros.
Result: 77,500
3. 6<u>3</u>,678: The underlined digit is 3 (thousands place). The digit to the right is 6. Since 6 is 5 or greater, we round up. 3 becomes 4. The rest become zeros.
Result: 64,000
4. 1<u>9</u>,113: The underlined digit is 9 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 9. The rest become zeros.
Result: 19,000
5. 1<u>5</u>,003: The underlined digit is 5 (thousands place). The digit to the right is 0. Since 0 is less than 5, we keep the 5. The rest become zeros.
Result: 15,000
6. 3<u>3</u>,575: The underlined digit is 3 (thousands place). The digit to the right is 5. Since 5 is 5 or greater, we round up. 3 becomes 4. The rest become zeros.
Result: 34,000
7. 3<u>3</u>,446: The underlined digit is 3 (thousands place). The digit to the right is 4. Since 4 is less than 5, we keep the 3. The rest become zeros.
Result: 33,000
8. 8<u>4</u>,822: The underlined digit is 4 (thousands place). The digit to the right is 8. Since 8 is 5 or greater, we round up. 4 becomes 5. The rest become zeros.
Result: 85,000
9. 9<u>5</u>,150: The underlined digit is 5 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 5. The rest become zeros.
Result: 95,000
10. 4<u>9</u>,332: The underlined digit is 9 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 9. The rest become zeros.
Result: 49,000
11. 3,<u>6</u>55: The underlined digit is 6 (hundreds place). The digit to the right is 5. Since 5 is 5 or greater, we round up. 6 becomes 7. The rest become zeros.
Result: 3,700
12. 9<u>7</u>,722: The underlined digit is 7 (thousands place). The digit to the right is 7. Since 7 is 5 or greater, we round up. 7 becomes 8. The rest become zeros.
Result: 98,000
13. 5<u>9</u>,899: The underlined digit is 9 (thousands place). The digit to the right is 8. Since 8 is 5 or greater, we round up. 9 becomes 10, which means we carry over to the next place. 59 becomes 60. The rest become zeros.
Result: 60,000
14. 3<u>2</u>,420: The underlined digit is 2 (thousands place). The digit to the right is 4. Since 4 is less than 5, we keep the 2. The rest become zeros.
Result: 32,000
15. 2<u>0</u>,151: The underlined digit is 0 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 0. The rest become zeros.
Result: 20,000
16. 2<u>1</u>,391: The underlined digit is 1 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 1. The rest become zeros.
Result: 21,000
17. 7<u>5</u>,705: The underlined digit is 5 (thousands place). The digit to the right is 7. Since 7 is 5 or greater, we round up. 5 becomes 6. The rest become zeros.
Result: 76,000
18. 5<u>7</u>,311: The underlined digit is 7 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 7. The rest become zeros.
Result: 57,000
19. 6<u>7</u>,195: The underlined digit is 7 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 7. The rest become zeros.
Result: 67,000
20. 7<u>7</u>,303: The underlined digit is 7 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 7. The rest become zeros.
Result: 77,000
21. 9<u>0</u>,205: The underlined digit is 0 (thousands place). The digit to the right is 2. Since 2 is less than 5, we keep the 0. The rest become zeros.
Result: 90,000
Final Answer:
1. 59,000
2. 77,500
3. 64,000
4. 19,000
5. 15,000
6. 34,000
7. 33,000
8. 85,000
9. 95,000
10. 49,000
11. 3,700
12. 98,000
13. 60,000
14. 32,000
15. 20,000
16. 21,000
17. 76,000
18. 57,000
19. 67,000
20. 77,000
21. 90,000
Here is the rule:
1. Look at the underlined digit. This is the digit we are rounding to.
2. Look at the digit immediately to its right.
3. If that digit is 5 or greater (5, 6, 7, 8, 9), we round up (add 1 to the underlined digit).
4. If that digit is less than 5 (0, 1, 2, 3, 4), we keep the underlined digit the same (round down).
5. Change all digits to the right of the underlined digit to zeros.
Let's go through them one by one:
1. 5<u>8</u>,914: The underlined digit is 8 (thousands place). The digit to the right is 9. Since 9 is 5 or greater, we round up. 8 becomes 9. The rest become zeros.
Result: 59,000
2. 77,<u>4</u>53: The underlined digit is 4 (hundreds place). The digit to the right is 5. Since 5 is 5 or greater, we round up. 4 becomes 5. The rest become zeros.
Result: 77,500
3. 6<u>3</u>,678: The underlined digit is 3 (thousands place). The digit to the right is 6. Since 6 is 5 or greater, we round up. 3 becomes 4. The rest become zeros.
Result: 64,000
4. 1<u>9</u>,113: The underlined digit is 9 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 9. The rest become zeros.
Result: 19,000
5. 1<u>5</u>,003: The underlined digit is 5 (thousands place). The digit to the right is 0. Since 0 is less than 5, we keep the 5. The rest become zeros.
Result: 15,000
6. 3<u>3</u>,575: The underlined digit is 3 (thousands place). The digit to the right is 5. Since 5 is 5 or greater, we round up. 3 becomes 4. The rest become zeros.
Result: 34,000
7. 3<u>3</u>,446: The underlined digit is 3 (thousands place). The digit to the right is 4. Since 4 is less than 5, we keep the 3. The rest become zeros.
Result: 33,000
8. 8<u>4</u>,822: The underlined digit is 4 (thousands place). The digit to the right is 8. Since 8 is 5 or greater, we round up. 4 becomes 5. The rest become zeros.
Result: 85,000
9. 9<u>5</u>,150: The underlined digit is 5 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 5. The rest become zeros.
Result: 95,000
10. 4<u>9</u>,332: The underlined digit is 9 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 9. The rest become zeros.
Result: 49,000
11. 3,<u>6</u>55: The underlined digit is 6 (hundreds place). The digit to the right is 5. Since 5 is 5 or greater, we round up. 6 becomes 7. The rest become zeros.
Result: 3,700
12. 9<u>7</u>,722: The underlined digit is 7 (thousands place). The digit to the right is 7. Since 7 is 5 or greater, we round up. 7 becomes 8. The rest become zeros.
Result: 98,000
13. 5<u>9</u>,899: The underlined digit is 9 (thousands place). The digit to the right is 8. Since 8 is 5 or greater, we round up. 9 becomes 10, which means we carry over to the next place. 59 becomes 60. The rest become zeros.
Result: 60,000
14. 3<u>2</u>,420: The underlined digit is 2 (thousands place). The digit to the right is 4. Since 4 is less than 5, we keep the 2. The rest become zeros.
Result: 32,000
15. 2<u>0</u>,151: The underlined digit is 0 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 0. The rest become zeros.
Result: 20,000
16. 2<u>1</u>,391: The underlined digit is 1 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 1. The rest become zeros.
Result: 21,000
17. 7<u>5</u>,705: The underlined digit is 5 (thousands place). The digit to the right is 7. Since 7 is 5 or greater, we round up. 5 becomes 6. The rest become zeros.
Result: 76,000
18. 5<u>7</u>,311: The underlined digit is 7 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 7. The rest become zeros.
Result: 57,000
19. 6<u>7</u>,195: The underlined digit is 7 (thousands place). The digit to the right is 1. Since 1 is less than 5, we keep the 7. The rest become zeros.
Result: 67,000
20. 7<u>7</u>,303: The underlined digit is 7 (thousands place). The digit to the right is 3. Since 3 is less than 5, we keep the 7. The rest become zeros.
Result: 77,000
21. 9<u>0</u>,205: The underlined digit is 0 (thousands place). The digit to the right is 2. Since 2 is less than 5, we keep the 0. The rest become zeros.
Result: 90,000
Final Answer:
1. 59,000
2. 77,500
3. 64,000
4. 19,000
5. 15,000
6. 34,000
7. 33,000
8. 85,000
9. 95,000
10. 49,000
11. 3,700
12. 98,000
13. 60,000
14. 32,000
15. 20,000
16. 21,000
17. 76,000
18. 57,000
19. 67,000
20. 77,000
21. 90,000
Parent Tip: Review the logic above to help your child master the concept of place value worksheet rounding.
