Comparing Decimals Up to Thousandths (Both Numbers Random) (A) - Free Printable
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Step-by-step solution for: Comparing Decimals Up to Thousandths (Both Numbers Random) (A)
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Show Answer Key & Explanations
Step-by-step solution for: Comparing Decimals Up to Thousandths (Both Numbers Random) (A)
Let's solve the problem step by step.
The task is to compare each pair of decimals and fill in the correct symbol:
- `<` (less than)
- `>` (greater than)
- `=` (equal to)
We'll go through each pair, compare them, and determine the correct symbol.
---
We compare decimals digit by digit from left to right (starting with the whole number part, then tenths, hundredths, etc.).
---
1. 6.177 □ 7.242
- 6 < 7 → 6.177 < 7.242
✔ `<`
2. 3.699 □ 6.771
- 3 < 6 → 3.699 < 6.771
✔ `<`
3. 0.828 □ 1.197
- 0 < 1 → 0.828 < 1.197
✔ `<`
4. 3.921 □ 8.988
- 3 < 8 → 3.921 < 8.988
✔ `<`
5. 1.042 □ 8.083
- 1 < 8 → 1.042 < 8.083
✔ `<`
6. 5.396 □ 7.986
- 5 < 7 → 5.396 < 7.986
✔ `<`
7. 5.920 □ 3.726
- 5 > 3 → 5.920 > 3.726
✔ `>`
8. 8.508 □ 4.339
- 8 > 4 → 8.508 > 4.339
✔ `>`
9. 4.562 □ 8.602
- 4 < 8 → 4.562 < 8.602
✔ `<`
10. 4.646 □ 4.627
- Whole parts: 4 = 4
- Tenths: 6 = 6
- Hundredths: 4 > 2 → 4.646 > 4.627
✔ `>`
11. 0.836 □ 7.860
- 0 < 7 → 0.836 < 7.860
✔ `<`
12. 0.348 □ 7.387
- 0 < 7 → 0.348 < 7.387
✔ `<`
13. 4.818 □ 9.558
- 4 < 9 → 4.818 < 9.558
✔ `<`
14. 4.476 □ 9.343
- 4 < 9 → 4.476 < 9.343
✔ `<`
15. 5.914 □ 9.081
- 5 < 9 → 5.914 < 9.081
✔ `<`
16. 3.650 □ 6.630
- 3 < 6 → 3.650 < 6.630
✔ `<`
17. 0.784 □ 1.887
- 0 < 1 → 0.784 < 1.887
✔ `<`
18. 2.872 □ 3.248
- 2 < 3 → 2.872 < 3.248
✔ `<`
19. 5.345 □ 3.004
- 5 > 3 → 5.345 > 3.004
✔ `>`
20. 2.634 □ 0.091
- 2 > 0 → 2.634 > 0.091
✔ `>`
21. 6.264 □ 8.482
- 6 < 8 → 6.264 < 8.482
✔ `<`
22. 7.800 □ 0.202
- 7 > 0 → 7.800 > 0.202
✔ `>`
23. 5.962 □ 2.541
- 5 > 2 → 5.962 > 2.541
✔ `>`
24. 7.529 □ 1.081
- 7 > 1 → 7.529 > 1.081
✔ `>`
25. 3.463 □ 8.500
- 3 < 8 → 3.463 < 8.500
✔ `<`
26. 9.149 □ 2.680
- 9 > 2 → 9.149 > 2.680
✔ `>`
27. 2.047 □ 3.621
- 2 < 3 → 2.047 < 3.621
✔ `<`
28. 8.461 □ 6.628
- 8 > 6 → 8.461 > 6.628
✔ `>`
29. 7.574 □ 2.321
- 7 > 2 → 7.574 > 2.321
✔ `>`
30. 1.345 □ 2.379
- 1 < 2 → 1.345 < 2.379
✔ `<`
31. 3.692 □ 3.768
- Whole: 3 = 3
- Tenths: 6 < 7 → 3.692 < 3.768
✔ `<`
32. 9.499 □ 6.141
- 9 > 6 → 9.499 > 6.141
✔ `>`
33. 7.722 □ 0.432
- 7 > 0 → 7.722 > 0.432
✔ `>`
34. 7.705 □ 3.030
- 7 > 3 → 7.705 > 3.030
✔ `>`
35. 1.659 □ 8.197
- 1 < 8 → 1.659 < 8.197
✔ `<`
36. 6.058 □ 4.077
- 6 > 4 → 6.058 > 4.077
✔ `>`
37. 3.345 □ 1.555
- 3 > 1 → 3.345 > 1.555
✔ `>`
38. 7.251 □ 1.081
- 7 > 1 → 7.251 > 1.081
✔ `>`
39. 7.571 □ 5.192
- 7 > 5 → 7.571 > 5.192
✔ `>`
40. 7.119 □ 2.829
- 7 > 2 → 7.119 > 2.829
✔ `>`
41. 3.565 □ 2.593
- 3 > 2 → 3.565 > 2.593
✔ `>`
42. 0.040 □ 3.108
- 0 < 3 → 0.040 < 3.108
✔ `<`
43. 7.686 □ 9.725
- 7 < 9 → 7.686 < 9.725
✔ `<`
44. 7.151 □ 1.315
- 7 > 1 → 7.151 > 1.315
✔ `>`
45. 3.026 □ 0.684
- 3 > 0 → 3.026 > 0.684
✔ `>`
46. 2.423 □ 9.219
- 2 < 9 → 2.423 < 9.219
✔ `<`
47. 8.011 □ 1.106
- 8 > 1 → 8.011 > 1.106
✔ `>`
48. 9.113 □ 5.094
- 9 > 5 → 9.113 > 5.094
✔ `>`
49. 3.472 □ 4.913
- 3 < 4 → 3.472 < 4.913
✔ `<`
50. 5.908 □ 7.740
- 5 < 7 → 5.908 < 7.740
✔ `<`
---
```
6.177 < 7.242
3.699 < 6.771
0.828 < 1.197
3.921 < 8.988
1.042 < 8.083
5.396 < 7.986
5.920 > 3.726
8.508 > 4.339
4.562 < 8.602
4.646 > 4.627
0.836 < 7.860
0.348 < 7.387
4.818 < 9.558
4.476 < 9.343
5.914 < 9.081
3.650 < 6.630
0.784 < 1.887
2.872 < 3.248
5.345 > 3.004
2.634 > 0.091
6.264 < 8.482
7.800 > 0.202
5.962 > 2.541
7.529 > 1.081
3.463 < 8.500
9.149 > 2.680
2.047 < 3.621
8.461 > 6.628
7.574 > 2.321
1.345 < 2.379
3.692 < 3.768
9.499 > 6.141
7.722 > 0.432
7.705 > 3.030
1.659 < 8.197
6.058 > 4.077
3.345 > 1.555
7.251 > 1.081
7.571 > 5.192
7.119 > 2.829
3.565 > 2.593
0.040 < 3.108
7.686 < 9.725
7.151 > 1.315
3.026 > 0.684
2.423 < 9.219
8.011 > 1.106
9.113 > 5.094
3.472 < 4.913
5.908 < 7.740
```
✔ All 50 comparisons are correct.
---
You would write:
Score: 50 / 50
Let me know if you'd like this formatted as a printable answer sheet!
The task is to compare each pair of decimals and fill in the correct symbol:
- `<` (less than)
- `>` (greater than)
- `=` (equal to)
We'll go through each pair, compare them, and determine the correct symbol.
---
Step-by-step Comparison:
We compare decimals digit by digit from left to right (starting with the whole number part, then tenths, hundredths, etc.).
---
1. 6.177 □ 7.242
- 6 < 7 → 6.177 < 7.242
✔ `<`
2. 3.699 □ 6.771
- 3 < 6 → 3.699 < 6.771
✔ `<`
3. 0.828 □ 1.197
- 0 < 1 → 0.828 < 1.197
✔ `<`
4. 3.921 □ 8.988
- 3 < 8 → 3.921 < 8.988
✔ `<`
5. 1.042 □ 8.083
- 1 < 8 → 1.042 < 8.083
✔ `<`
6. 5.396 □ 7.986
- 5 < 7 → 5.396 < 7.986
✔ `<`
7. 5.920 □ 3.726
- 5 > 3 → 5.920 > 3.726
✔ `>`
8. 8.508 □ 4.339
- 8 > 4 → 8.508 > 4.339
✔ `>`
9. 4.562 □ 8.602
- 4 < 8 → 4.562 < 8.602
✔ `<`
10. 4.646 □ 4.627
- Whole parts: 4 = 4
- Tenths: 6 = 6
- Hundredths: 4 > 2 → 4.646 > 4.627
✔ `>`
11. 0.836 □ 7.860
- 0 < 7 → 0.836 < 7.860
✔ `<`
12. 0.348 □ 7.387
- 0 < 7 → 0.348 < 7.387
✔ `<`
13. 4.818 □ 9.558
- 4 < 9 → 4.818 < 9.558
✔ `<`
14. 4.476 □ 9.343
- 4 < 9 → 4.476 < 9.343
✔ `<`
15. 5.914 □ 9.081
- 5 < 9 → 5.914 < 9.081
✔ `<`
16. 3.650 □ 6.630
- 3 < 6 → 3.650 < 6.630
✔ `<`
17. 0.784 □ 1.887
- 0 < 1 → 0.784 < 1.887
✔ `<`
18. 2.872 □ 3.248
- 2 < 3 → 2.872 < 3.248
✔ `<`
19. 5.345 □ 3.004
- 5 > 3 → 5.345 > 3.004
✔ `>`
20. 2.634 □ 0.091
- 2 > 0 → 2.634 > 0.091
✔ `>`
21. 6.264 □ 8.482
- 6 < 8 → 6.264 < 8.482
✔ `<`
22. 7.800 □ 0.202
- 7 > 0 → 7.800 > 0.202
✔ `>`
23. 5.962 □ 2.541
- 5 > 2 → 5.962 > 2.541
✔ `>`
24. 7.529 □ 1.081
- 7 > 1 → 7.529 > 1.081
✔ `>`
25. 3.463 □ 8.500
- 3 < 8 → 3.463 < 8.500
✔ `<`
26. 9.149 □ 2.680
- 9 > 2 → 9.149 > 2.680
✔ `>`
27. 2.047 □ 3.621
- 2 < 3 → 2.047 < 3.621
✔ `<`
28. 8.461 □ 6.628
- 8 > 6 → 8.461 > 6.628
✔ `>`
29. 7.574 □ 2.321
- 7 > 2 → 7.574 > 2.321
✔ `>`
30. 1.345 □ 2.379
- 1 < 2 → 1.345 < 2.379
✔ `<`
31. 3.692 □ 3.768
- Whole: 3 = 3
- Tenths: 6 < 7 → 3.692 < 3.768
✔ `<`
32. 9.499 □ 6.141
- 9 > 6 → 9.499 > 6.141
✔ `>`
33. 7.722 □ 0.432
- 7 > 0 → 7.722 > 0.432
✔ `>`
34. 7.705 □ 3.030
- 7 > 3 → 7.705 > 3.030
✔ `>`
35. 1.659 □ 8.197
- 1 < 8 → 1.659 < 8.197
✔ `<`
36. 6.058 □ 4.077
- 6 > 4 → 6.058 > 4.077
✔ `>`
37. 3.345 □ 1.555
- 3 > 1 → 3.345 > 1.555
✔ `>`
38. 7.251 □ 1.081
- 7 > 1 → 7.251 > 1.081
✔ `>`
39. 7.571 □ 5.192
- 7 > 5 → 7.571 > 5.192
✔ `>`
40. 7.119 □ 2.829
- 7 > 2 → 7.119 > 2.829
✔ `>`
41. 3.565 □ 2.593
- 3 > 2 → 3.565 > 2.593
✔ `>`
42. 0.040 □ 3.108
- 0 < 3 → 0.040 < 3.108
✔ `<`
43. 7.686 □ 9.725
- 7 < 9 → 7.686 < 9.725
✔ `<`
44. 7.151 □ 1.315
- 7 > 1 → 7.151 > 1.315
✔ `>`
45. 3.026 □ 0.684
- 3 > 0 → 3.026 > 0.684
✔ `>`
46. 2.423 □ 9.219
- 2 < 9 → 2.423 < 9.219
✔ `<`
47. 8.011 □ 1.106
- 8 > 1 → 8.011 > 1.106
✔ `>`
48. 9.113 □ 5.094
- 9 > 5 → 9.113 > 5.094
✔ `>`
49. 3.472 □ 4.913
- 3 < 4 → 3.472 < 4.913
✔ `<`
50. 5.908 □ 7.740
- 5 < 7 → 5.908 < 7.740
✔ `<`
---
Final Answers (All Correct Symbols):
```
6.177 < 7.242
3.699 < 6.771
0.828 < 1.197
3.921 < 8.988
1.042 < 8.083
5.396 < 7.986
5.920 > 3.726
8.508 > 4.339
4.562 < 8.602
4.646 > 4.627
0.836 < 7.860
0.348 < 7.387
4.818 < 9.558
4.476 < 9.343
5.914 < 9.081
3.650 < 6.630
0.784 < 1.887
2.872 < 3.248
5.345 > 3.004
2.634 > 0.091
6.264 < 8.482
7.800 > 0.202
5.962 > 2.541
7.529 > 1.081
3.463 < 8.500
9.149 > 2.680
2.047 < 3.621
8.461 > 6.628
7.574 > 2.321
1.345 < 2.379
3.692 < 3.768
9.499 > 6.141
7.722 > 0.432
7.705 > 3.030
1.659 < 8.197
6.058 > 4.077
3.345 > 1.555
7.251 > 1.081
7.571 > 5.192
7.119 > 2.829
3.565 > 2.593
0.040 < 3.108
7.686 < 9.725
7.151 > 1.315
3.026 > 0.684
2.423 < 9.219
8.011 > 1.106
9.113 > 5.094
3.472 < 4.913
5.908 < 7.740
```
✔ All 50 comparisons are correct.
---
Score:
You would write:
Score: 50 / 50
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of decimal comparison worksheet.
