GED Math: Equation & Inequality Worksheets by Effortless Math - Free Printable
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Step-by-step solution for: GED Math: Equation & Inequality Worksheets by Effortless Math
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Show Answer Key & Explanations
Step-by-step solution for: GED Math: Equation & Inequality Worksheets by Effortless Math
Let's solve the rounding problems step by step based on the rules provided.
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- Rule 1: If the digit to the right of the rounding digit is 1, 2, 3, or 4, do not round up. Keep the rounding digit the same.
- Rule 2: If the digit to the right is 5, 6, 7, 8, or 9, round up by adding 1 to the rounding digit.
- All digits to the right of the rounding digit become 0.
We are rounding to the nearest 10, so we focus on the tens place and look at the ones digit (the digit to its right).
---
## ✔ Part 1: Round to the nearest 10 (Two-digit numbers)
| Problem | Number | Ones Digit | Rule | Rounded |
|--------|--------|------------|------|---------|
| 1.) | 47 | 7 | >5 → Round up | 50 |
| 2.) | 51 | 1 | <5 → Round down | 50 |
| 3.) | 65 | 5 | =5 → Round up | 70 |
| 4.) | 22 | 2 | <5 → Round down | 20 |
| 5.) | 43 | 3 | <5 → Round down | 40 |
| 6.) | 99 | 9 | >5 → Round up | 100 |
| 7.) | 86 | 6 | >5 → Round up | 90 |
| 8.) | 28 | 8 | >5 → Round up | 30 |
| 9.) | 77 | 7 | >5 → Round up | 80 |
| 10.) | 24 | 4 | <5 → Round down | 20 |
| 11.) | 55 | 5 | =5 → Round up | 60 |
| 12.) | 21 | 1 | <5 → Round down | 20 |
| 13.) | 21 | 1 | <5 → Round down | 20 |
| 14.) | 56 | 6 | >5 → Round up | 60 |
| 15.) | 94 | 4 | <5 → Round down | 90 |
| 16.) | 88 | 8 | >5 → Round up | 90 |
| 17.) | 11 | 1 | <5 → Round down | 10 |
| 18.) | 16 | 6 | >5 → Round up | 20 |
| 19.) | 15 | 5 | =5 → Round up | 20 |
| 20.) | 33 | 3 | <5 → Round down | 30 |
---
1.) 50
2.) 50
3.) 70
4.) 20
5.) 40
6.) 100
7.) 90
8.) 30
9.) 80
10.) 20
11.) 60
12.) 20
13.) 20
14.) 60
15.) 90
16.) 90
17.) 10
18.) 20
19.) 20
20.) 30
---
## ✔ Part 2: Round to the nearest 10 (Three-digit numbers)
Now, we’re still rounding to the nearest 10, so we focus on the tens digit, and check the ones digit.
| Problem | Number | Tens Digit | Ones Digit | Rule | Rounded |
|--------|--------|------------|------------|------|---------|
| 1.) | 407 | 0 (in tens) | 7 | >5 → Round up tens digit | 410 |
| 2.) | 451 | 5 | 1 | <5 → Round down | 450 |
| 3.) | 635 | 3 | 5 | =5 → Round up | 640 |
| 4.) | 225 | 2 | 5 | =5 → Round up | 230 |
| 5.) | 432 | 3 | 2 | <5 → Round down | 430 |
| 6.) | 929 | 2 | 9 | >5 → Round up | 930 |
| 7.) | 806 | 0 | 6 | >5 → Round up | 810 |
| 8.) | 328 | 2 | 8 | >5 → Round up | 330 |
| 9.) | 677 | 7 | 7 | >5 → Round up | 680 |
| 10.) | 245 | 4 | 5 | =5 → Round up | 250 |
| 11.) | 551 | 5 | 1 | <5 → Round down | 550 |
| 12.) | 218 | 1 | 8 | >5 → Round up | 220 |
| 13.) | 291 | 9 | 1 | <5 → Round down | 290 |
| 14.) | 556 | 5 | 6 | >5 → Round up | 560 |
| 15.) | 394 | 9 | 4 | <5 → Round down | 390 |
| 16.) | 888 | 8 | 8 | >5 → Round up | 890 |
| 17.) | 111 | 1 | 1 | <5 → Round down | 110 |
| 18.) | 616 | 1 | 6 | >5 → Round up | 620 |
| 19.) | 125 | 2 | 5 | =5 → Round up | 130 |
| 20.) | 336 | 3 | 6 | >5 → Round up | 340 |
---
1.) 410
2.) 450
3.) 640
4.) 230
5.) 430
6.) 930
7.) 810
8.) 330
9.) 680
10.) 250
11.) 550
12.) 220
13.) 290
14.) 560
15.) 390
16.) 890
17.) 110
18.) 620
19.) 130
20.) 340
---
#### Part 1: Round to nearest 10 (2-digit numbers)
1. 50
2. 50
3. 70
4. 20
5. 40
6. 100
7. 90
8. 30
9. 80
10. 20
11. 60
12. 20
13. 20
14. 60
15. 90
16. 90
17. 10
18. 20
19. 20
20. 30
#### Part 2: Round to nearest 10 (3-digit numbers)
1. 410
2. 450
3. 640
4. 230
5. 430
6. 930
7. 810
8. 330
9. 680
10. 250
11. 550
12. 220
13. 290
14. 560
15. 390
16. 890
17. 110
18. 620
19. 130
20. 340
---
✔ Explanation of Key Points:
- Always look at the digit immediately to the right of the rounding digit.
- For rounding to the nearest 10, the tens digit is your target; the ones digit determines whether to round up or down.
- When you round up, only the tens digit increases by 1, and all digits to the right become 0.
- Numbers ending in 5 or above round up.
- Numbers ending in 4 or below round down.
Let me know if you'd like this formatted as a printable answer key!
---
Rounding Rules Recap:
- Rule 1: If the digit to the right of the rounding digit is 1, 2, 3, or 4, do not round up. Keep the rounding digit the same.
- Rule 2: If the digit to the right is 5, 6, 7, 8, or 9, round up by adding 1 to the rounding digit.
- All digits to the right of the rounding digit become 0.
We are rounding to the nearest 10, so we focus on the tens place and look at the ones digit (the digit to its right).
---
## ✔ Part 1: Round to the nearest 10 (Two-digit numbers)
| Problem | Number | Ones Digit | Rule | Rounded |
|--------|--------|------------|------|---------|
| 1.) | 47 | 7 | >5 → Round up | 50 |
| 2.) | 51 | 1 | <5 → Round down | 50 |
| 3.) | 65 | 5 | =5 → Round up | 70 |
| 4.) | 22 | 2 | <5 → Round down | 20 |
| 5.) | 43 | 3 | <5 → Round down | 40 |
| 6.) | 99 | 9 | >5 → Round up | 100 |
| 7.) | 86 | 6 | >5 → Round up | 90 |
| 8.) | 28 | 8 | >5 → Round up | 30 |
| 9.) | 77 | 7 | >5 → Round up | 80 |
| 10.) | 24 | 4 | <5 → Round down | 20 |
| 11.) | 55 | 5 | =5 → Round up | 60 |
| 12.) | 21 | 1 | <5 → Round down | 20 |
| 13.) | 21 | 1 | <5 → Round down | 20 |
| 14.) | 56 | 6 | >5 → Round up | 60 |
| 15.) | 94 | 4 | <5 → Round down | 90 |
| 16.) | 88 | 8 | >5 → Round up | 90 |
| 17.) | 11 | 1 | <5 → Round down | 10 |
| 18.) | 16 | 6 | >5 → Round up | 20 |
| 19.) | 15 | 5 | =5 → Round up | 20 |
| 20.) | 33 | 3 | <5 → Round down | 30 |
---
✔ Answers for Part 1:
1.) 50
2.) 50
3.) 70
4.) 20
5.) 40
6.) 100
7.) 90
8.) 30
9.) 80
10.) 20
11.) 60
12.) 20
13.) 20
14.) 60
15.) 90
16.) 90
17.) 10
18.) 20
19.) 20
20.) 30
---
## ✔ Part 2: Round to the nearest 10 (Three-digit numbers)
Now, we’re still rounding to the nearest 10, so we focus on the tens digit, and check the ones digit.
| Problem | Number | Tens Digit | Ones Digit | Rule | Rounded |
|--------|--------|------------|------------|------|---------|
| 1.) | 407 | 0 (in tens) | 7 | >5 → Round up tens digit | 410 |
| 2.) | 451 | 5 | 1 | <5 → Round down | 450 |
| 3.) | 635 | 3 | 5 | =5 → Round up | 640 |
| 4.) | 225 | 2 | 5 | =5 → Round up | 230 |
| 5.) | 432 | 3 | 2 | <5 → Round down | 430 |
| 6.) | 929 | 2 | 9 | >5 → Round up | 930 |
| 7.) | 806 | 0 | 6 | >5 → Round up | 810 |
| 8.) | 328 | 2 | 8 | >5 → Round up | 330 |
| 9.) | 677 | 7 | 7 | >5 → Round up | 680 |
| 10.) | 245 | 4 | 5 | =5 → Round up | 250 |
| 11.) | 551 | 5 | 1 | <5 → Round down | 550 |
| 12.) | 218 | 1 | 8 | >5 → Round up | 220 |
| 13.) | 291 | 9 | 1 | <5 → Round down | 290 |
| 14.) | 556 | 5 | 6 | >5 → Round up | 560 |
| 15.) | 394 | 9 | 4 | <5 → Round down | 390 |
| 16.) | 888 | 8 | 8 | >5 → Round up | 890 |
| 17.) | 111 | 1 | 1 | <5 → Round down | 110 |
| 18.) | 616 | 1 | 6 | >5 → Round up | 620 |
| 19.) | 125 | 2 | 5 | =5 → Round up | 130 |
| 20.) | 336 | 3 | 6 | >5 → Round up | 340 |
---
✔ Answers for Part 2:
1.) 410
2.) 450
3.) 640
4.) 230
5.) 430
6.) 930
7.) 810
8.) 330
9.) 680
10.) 250
11.) 550
12.) 220
13.) 290
14.) 560
15.) 390
16.) 890
17.) 110
18.) 620
19.) 130
20.) 340
---
✔ Final Answer Summary:
#### Part 1: Round to nearest 10 (2-digit numbers)
1. 50
2. 50
3. 70
4. 20
5. 40
6. 100
7. 90
8. 30
9. 80
10. 20
11. 60
12. 20
13. 20
14. 60
15. 90
16. 90
17. 10
18. 20
19. 20
20. 30
#### Part 2: Round to nearest 10 (3-digit numbers)
1. 410
2. 450
3. 640
4. 230
5. 430
6. 930
7. 810
8. 330
9. 680
10. 250
11. 550
12. 220
13. 290
14. 560
15. 390
16. 890
17. 110
18. 620
19. 130
20. 340
---
✔ Explanation of Key Points:
- Always look at the digit immediately to the right of the rounding digit.
- For rounding to the nearest 10, the tens digit is your target; the ones digit determines whether to round up or down.
- When you round up, only the tens digit increases by 1, and all digits to the right become 0.
- Numbers ending in 5 or above round up.
- Numbers ending in 4 or below round down.
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of ged math worksheets pdf with answers.