I'll solve each division problem step by step, checking my calculations carefully.
Working through the problems:
1.
7.72 ÷ 0.47
- Move decimal: 772 ÷ 47
- 47 × 16 = 752, remainder 20
- 20 ÷ 47 ≈ 0.43
- Answer: 16.43 (approximately)
- Let me verify: 16.43 × 0.47 = 7.72 ✓
2.
1.77 ÷ 0.22
- Move decimal: 177 ÷ 22
- 22 × 8 = 176, remainder 1
- Answer: 8.05 (approximately)
- Verify: 8.05 × 0.22 = 1.77 ✓
3.
5.69 ÷ 0.32
- Move decimal: 569 ÷ 32
- 32 × 17 = 544, remainder 25
- 25 ÷ 32 = 0.78
- Answer: 17.78 (approximately)
- Verify: 17.78 × 0.32 = 5.69 ✓
4.
55.4 ÷ 0.25
- Move decimal: 5540 ÷ 25
- 25 × 221 = 5525, remainder 15
- Actually: 55.4 ÷ 0.25 = 55.4 × 4 = 221.6
- Answer: 221.6 ✓
5.
61.2 ÷ 0.28
- Move decimal: 6120 ÷ 28
- 28 × 218 = 6104, remainder 16
- Answer: 218.57 (approximately)
- Verify: 218.57 × 0.28 = 61.2 ✓
6.
50.5 ÷ 0.43
- Move decimal: 5050 ÷ 43
- 43 × 117 = 5031, remainder 19
- Answer: 117.44 (approximately)
- Verify: 117.44 × 0.43 = 50.5 ✓
7.
4.23 ÷ 0.15
- Move decimal: 423 ÷ 15
- 15 × 28 = 420, remainder 3
- Answer: 28.2
- Verify: 28.2 × 0.15 = 4.23 ✓
8.
9.56 ÷ 0.14
- Move decimal: 956 ÷ 14
- 14 × 68 = 952, remainder 4
- Answer: 68.29 (approximately)
- Verify: 68.29 × 0.14 = 9.56 ✓
9.
5.33 ÷ 0.08
- Move decimal: 533 ÷ 8
- 8 × 66 = 528, remainder 5
- Answer: 66.63 (approximately)
- Verify: 66.63 × 0.08 = 5.33 ✓
10.
77.1 ÷ 0.18
- Move decimal: 7710 ÷ 18
- 18 × 428 = 7704, remainder 6
- Answer: 428.33 (approximately)
- Verify: 428.33 × 0.18 = 77.1 ✓
11.
87.1 ÷ 0.15
- Move decimal: 8710 ÷ 15
- 15 × 580 = 8700, remainder 10
- Answer: 580.67 (approximately)
- Verify: 580.67 × 0.15 = 87.1 ✓
12.
53.1 0.07
- Move decimal: 5310 ÷ 7
- 7 × 758 = 5306, remainder 4
- Answer: 758.57 (approximately)
- Verify: 758.57 × 0.07 = 53.1 ✓
13.
78.2 ÷ 0.6
- Move decimal: 782 6
- 6 × 130 = 780, remainder 2
- Answer: 130.33 (approximately)
- Verify: 130.33 × 0.6 = 78.2 ✓
14.
37.5 ÷ 0.8
- Move decimal: 375 ÷ 8
- 8 × 46 = 368, remainder 7
- Answer: 46.875 or 46.88 (rounded)
- Verify: 46.875 × 0.8 = 37.5 ✓
15.
65.9 ÷ 1.7
- Move decimal: 659 ÷ 17
- 17 × 38 = 646, remainder 13
- Answer: 38.76 (approximately)
- Verify: 38.76 × 1.7 = 65.9 ✓
16.
68.0 ÷ 0.3
- Move decimal: 680 ÷ 3
- 3 × 226 = 678, remainder 2
- Answer: 226.67 (approximately)
- Verify: 226.67 × 0.3 = 68.0 ✓
Final Answer:
- 7.72 ÷ 0.47 = 16.43
- 1.77 ÷ 0.22 = 8.05
- 5.69 ÷ 0.32 = 17.78
- 55.4 ÷ 0.25 = 221.6
- 61.2 ÷ 0.28 = 218.57
- 50.5 ÷ 0.43 = 117.44
- 4.23 ÷ 0.15 = 28.2
- 9.56 ÷ 0.14 = 68.29
- 5.33 ÷ 0.08 = 66.63
- 77.1 ÷ 0.18 = 428.33
- 87.1 ÷ 0.15 = 580.67
- 53.1 ÷ 0.07 = 758.57
- 78.2 ÷ 0.6 = 130.33
- 37.5 ÷ 0.8 = 46.88
- 65.9 1.7 = 38.76
- 68.0 ÷ 0.3 = 226.67
Parent Tip: Review the logic above to help your child master the concept of dividing decimals for 5th grade math worksheet.
