Grade 5 Worksheets: Convert units of weight (customary / metric ... - Free Printable
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Step-by-step solution for: Grade 5 Worksheets: Convert units of weight (customary / metric ...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Worksheets: Convert units of weight (customary / metric ...
Let’s solve each problem step by step. We’ll use conversion factors:
Customary to Metric:
- 1 pound (lb) = 0.4536 kilograms (kg)
- 1 ounce (oz) = 28.35 grams (g)
- Also, since 1 kg = 1000 g, we can convert oz → g → kg if needed.
Metric to Customary:
- 1 kilogram (kg) = 2.2046 pounds (lb)
- 1 gram (g) = 0.03527 ounces (oz)
We’ll round answers to two decimal places unless otherwise specified — this is standard for these worksheets.
---
1. 77 lb = ? kg
77 × 0.4536 = 34.9272 → 34.93 kg
2. 99 oz = ? kg
First, convert oz to grams: 99 × 28.35 = 2806.65 g
Then convert grams to kg: 2806.65 ÷ 1000 = 2.80665 → 2.81 kg
3. 60 lb = ? kg
60 × 0.4536 = 27.216 → 27.22 kg
4. 26 lb = ? g
First, convert lb to kg: 26 × 0.4536 = 11.7936 kg
Then convert kg to g: 11.7936 × 1000 = 11793.6 → 11793.60 g
Wait — let’s double-check: Actually, better to go directly from lb to g?
Since 1 lb = 453.6 g (because 0.4536 kg = 453.6 g), so:
26 × 453.6 = 11793.6 → same answer → 11793.60 g
5. 100 lb = ? g
100 × 453.6 = 45360 → 45360.00 g
6. 11 oz = ? g
11 × 28.35 = 311.85 → 311.85 g
7. 73 oz = ? kg
73 × 28.35 = 2069.55 g → ÷1000 = 2.06955 → 2.07 kg
8. 9 lb = ? kg
9 × 0.4536 = 4.0824 → 4.08 kg
9. 18 oz = ? kg
18 × 28.35 = 510.3 g → ÷1000 = 0.5103 → 0.51 kg
10. 98 oz = ? kg
98 × 28.35 = 2778.3 g → ÷1000 = 2.7783 → 2.78 kg
---
11. 39 kg = ? lb
39 × 2.2046 = 85.9794 → 85.98 lb
12. 13 g = ? oz
13 × 0.03527 = 0.45851 → 0.46 oz
13. 95 g = ? oz
95 × 0.03527 = 3.35065 → 3.35 oz
14. 88 kg = ? oz
First, convert kg to lb: 88 × 2.2046 = 194.0048 lb
Then convert lb to oz: 1 lb = 16 oz → 194.0048 × 16 = 3104.0768 → 3104.08 oz
Alternatively: 1 kg = 35.274 oz (since 1 kg = 2.2046 lb × 16 oz/lb = 35.2736 oz)
So 88 × 35.274 = 3104.112 → still rounds to 3104.08 oz (we’ll stick with first method for consistency)
Actually, let’s use direct: 1 kg = 35.274 oz → 88 × 35.274 = 3104.112 → round to two decimals → 3104.11 oz? Wait, inconsistency.
Better to be consistent: Use 1 kg = 2.2046 lb, then 1 lb = 16 oz.
So: 88 kg × 2.2046 = 194.0048 lb
194.0048 × 16 = 3104.0768 → rounded to two decimals → 3104.08 oz
Yes.
15. 25 kg = ? oz
25 × 2.2046 = 55.115 lb
55.115 × 16 = 881.84 → 881.84 oz
Or: 25 × 35.274 = 881.85 → close enough, but we’ll use 881.84 as per step-by-step.
Actually, 2.2046 × 16 = 35.2736 → so 25 × 35.2736 = 881.84 exactly → 881.84 oz
Good.
16. 37 g = ? oz
37 × 0.03527 = 1.30499 → 1.30 oz
17. 26 kg = ? oz
26 × 35.2736 = 917.1136 → 917.11 oz
(Or: 26 × 2.2046 = 57.3196 lb; ×16 = 917.1136 → same)
18. 79 g = ? oz
79 × 0.03527 = 2.78633 → 2.79 oz
19. 82 g = ? oz
82 × 0.03527 = 2.89214 → 2.89 oz
20. 73 g = ? oz
73 × 0.03527 = 2.57471 → 2.57 oz
---
Now, compiling all answers neatly:
Final Answer:
1. 34.93
2. 2.81
3. 27.22
4. 11793.60
5. 45360.00
6. 311.85
7. 2.07
8. 4.08
9. 0.51
10. 2.78
11. 85.98
12. 0.46
13. 3.35
14. 3104.08
15. 881.84
16. 1.30
17. 917.11
18. 2.79
19. 2.89
20. 2.57
Customary to Metric:
- 1 pound (lb) = 0.4536 kilograms (kg)
- 1 ounce (oz) = 28.35 grams (g)
- Also, since 1 kg = 1000 g, we can convert oz → g → kg if needed.
Metric to Customary:
- 1 kilogram (kg) = 2.2046 pounds (lb)
- 1 gram (g) = 0.03527 ounces (oz)
We’ll round answers to two decimal places unless otherwise specified — this is standard for these worksheets.
---
Part 1: Convert customary units to metric
1. 77 lb = ? kg
77 × 0.4536 = 34.9272 → 34.93 kg
2. 99 oz = ? kg
First, convert oz to grams: 99 × 28.35 = 2806.65 g
Then convert grams to kg: 2806.65 ÷ 1000 = 2.80665 → 2.81 kg
3. 60 lb = ? kg
60 × 0.4536 = 27.216 → 27.22 kg
4. 26 lb = ? g
First, convert lb to kg: 26 × 0.4536 = 11.7936 kg
Then convert kg to g: 11.7936 × 1000 = 11793.6 → 11793.60 g
Wait — let’s double-check: Actually, better to go directly from lb to g?
Since 1 lb = 453.6 g (because 0.4536 kg = 453.6 g), so:
26 × 453.6 = 11793.6 → same answer → 11793.60 g
5. 100 lb = ? g
100 × 453.6 = 45360 → 45360.00 g
6. 11 oz = ? g
11 × 28.35 = 311.85 → 311.85 g
7. 73 oz = ? kg
73 × 28.35 = 2069.55 g → ÷1000 = 2.06955 → 2.07 kg
8. 9 lb = ? kg
9 × 0.4536 = 4.0824 → 4.08 kg
9. 18 oz = ? kg
18 × 28.35 = 510.3 g → ÷1000 = 0.5103 → 0.51 kg
10. 98 oz = ? kg
98 × 28.35 = 2778.3 g → ÷1000 = 2.7783 → 2.78 kg
---
Part 2: Convert metric units to customary
11. 39 kg = ? lb
39 × 2.2046 = 85.9794 → 85.98 lb
12. 13 g = ? oz
13 × 0.03527 = 0.45851 → 0.46 oz
13. 95 g = ? oz
95 × 0.03527 = 3.35065 → 3.35 oz
14. 88 kg = ? oz
First, convert kg to lb: 88 × 2.2046 = 194.0048 lb
Then convert lb to oz: 1 lb = 16 oz → 194.0048 × 16 = 3104.0768 → 3104.08 oz
Alternatively: 1 kg = 35.274 oz (since 1 kg = 2.2046 lb × 16 oz/lb = 35.2736 oz)
So 88 × 35.274 = 3104.112 → still rounds to 3104.08 oz (we’ll stick with first method for consistency)
Actually, let’s use direct: 1 kg = 35.274 oz → 88 × 35.274 = 3104.112 → round to two decimals → 3104.11 oz? Wait, inconsistency.
Better to be consistent: Use 1 kg = 2.2046 lb, then 1 lb = 16 oz.
So: 88 kg × 2.2046 = 194.0048 lb
194.0048 × 16 = 3104.0768 → rounded to two decimals → 3104.08 oz
Yes.
15. 25 kg = ? oz
25 × 2.2046 = 55.115 lb
55.115 × 16 = 881.84 → 881.84 oz
Or: 25 × 35.274 = 881.85 → close enough, but we’ll use 881.84 as per step-by-step.
Actually, 2.2046 × 16 = 35.2736 → so 25 × 35.2736 = 881.84 exactly → 881.84 oz
Good.
16. 37 g = ? oz
37 × 0.03527 = 1.30499 → 1.30 oz
17. 26 kg = ? oz
26 × 35.2736 = 917.1136 → 917.11 oz
(Or: 26 × 2.2046 = 57.3196 lb; ×16 = 917.1136 → same)
18. 79 g = ? oz
79 × 0.03527 = 2.78633 → 2.79 oz
19. 82 g = ? oz
82 × 0.03527 = 2.89214 → 2.89 oz
20. 73 g = ? oz
73 × 0.03527 = 2.57471 → 2.57 oz
---
Now, compiling all answers neatly:
Final Answer:
1. 34.93
2. 2.81
3. 27.22
4. 11793.60
5. 45360.00
6. 311.85
7. 2.07
8. 4.08
9. 0.51
10. 2.78
11. 85.98
12. 0.46
13. 3.35
14. 3104.08
15. 881.84
16. 1.30
17. 917.11
18. 2.79
19. 2.89
20. 2.57
Parent Tip: Review the logic above to help your child master the concept of conversion math worksheet.