Let’s solve each conversion step by step. We’ll use the metric system rules:
Mass Conversions:
- 1 gram (g) = 1000 milligrams (mg)
- 1 kilogram (kg) = 1000 grams (g)
- So, 1 kg = 1,000,000 mg
To convert:
- From smaller to larger unit → divide by 1000 (or move decimal 3 places left)
- From larger to smaller unit → multiply by 1000 (or move decimal 3 places right)
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First Set: Mass Conversions
1.
7.8 mg = ? g
Divide by 1000 → 7.8 ÷ 1000 = 0.0078 g
2.
9.0 g = ? kg
Divide by 1000 → 9.0 ÷ 1000 = 0.009 kg
3.
6.6 mg = ? g
6.6 ÷ 1000 = 0.0066 g
4.
1.2 kg = ? g
Multiply by 1000 → 1.2 × 1000 = 1200 g
5.
5.1 kg = ? mg
First, kg to g: 5.1 × 1000 = 5100 g
Then g to mg: 5100 × 1000 = 5,100,000 mg
Or directly: 5.1 × 1,000,000 = 5,100,000 mg
6.
2.2 mg = ? kg
mg to kg: divide by 1,000,000 → 2.2 ÷ 1,000,000 = 0.0000022 kg
7.
5.3 g = ? mg
Multiply by 1000 → 5.3 × 1000 = 5300 mg
8.
2.3 g = ? kg
Divide by 1000 → 2.3 ÷ 1000 = 0.0023 kg
9.
7.2 g = ? kg
7.2 ÷ 1000 = 0.0072 kg
10.
4.0 g = ? kg
4.0 ÷ 1000 = 0.004 kg
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Second Set: Volume Conversions
Rules:
- 1 liter (L) = 1000 milliliters (mL)
- To go from mL to L → divide by 1000
- To go from L to mL → multiply by 1000
1.
7.3 mL = ? L
7.3 ÷ 1000 = 0.0073 L
2.
9.4 mL = ? L
9.4 ÷ 1000 = 0.0094 L
3.
4.7 mL = ? L
4.7 ÷ 1000 = 0.0047 L
4.
6.4 mL = ? L
6.4 ÷ 1000 = 0.0064 L
5.
6.9 L = ? mL
6.9 × 1000 = 6900 mL
6.
3.3 mL = ? L
3.3 ÷ 1000 = 0.0033 L
7.
7.6 L = ? mL
7.6 × 1000 = 7600 mL
8.
3.0 mL = ? L
3.0 ÷ 1000 = 0.003 L
9.
4.5 mL = ? L
4.5 ÷ 1000 = 0.0045 L
10.
7.9 L = ? mL
7.9 × 1000 = 7900 mL
11.
3.1 L = ? mL
3.1 × 1000 = 3100 mL
12.
1.5 mL = ? L
1.5 ÷ 1000 = 0.0015 L
13.
9.7 mL = ? L
9.7 ÷ 1000 = 0.0097 L
14.
3.7 L = ? mL
3.7 × 1000 = 3700 mL
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Final Answer:
Mass Conversions:
- 7.8 mg = 0.0078 g
- 9.0 g = 0.009 kg
- 6.6 mg = 0.0066 g
- 1.2 kg = 1200 g
- 5.1 kg = 5100000 mg
- 2.2 mg = 0.0000022 kg
- 5.3 g = 5300 mg
- 2.3 g = 0.0023 kg
- 7.2 g = 0.0072 kg
- 4.0 g = 0.004 kg
Volume Conversions:
- 7.3 mL = 0.0073 L
- 9.4 mL = 0.0094 L
- 4.7 mL = 0.0047 L
- 6.4 mL = 0.0064 L
- 6.9 L = 6900 mL
- 3.3 mL = 0.0033 L
- 7.6 L = 7600 mL
- 3.0 mL = 0.003 L
- 4.5 mL = 0.0045 L
- 7.9 L = 7900 mL
- 3.1 L = 3100 mL
- 1.5 mL = 0.0015 L
- 9.7 mL = 0.0097 L
- 3.7 L = 3700 mL
Parent Tip: Review the logic above to help your child master the concept of 6th grade math curriculum worksheet.