Printable worksheet for converting units of mass, focusing on grams and kilograms.
Measuring Units Worksheet with conversion problems between grams and kilograms for math practice.
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Show Answer Key & Explanations
Step-by-step solution for: Metric measuring units worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Metric measuring units worksheets
Problem Overview:
The worksheet requires converting between grams (g) and kilograms (kg). The key conversion factor to remember is:
$$
1 \text{ kg} = 1000 \text{ g}
$$
This means:
- To convert grams to kilograms, divide by 1000.
- To convert kilograms to grams, multiply by 1000.
Solution:
#### 1 a. \( 10,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
10,000 \div 1000 = 10 \text{ kg}
$$
Answer: \( 10 \text{ kg} \)
#### 1 b. \( 5,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
5,000 \div 1000 = 5 \text{ kg}
$$
Answer: \( 5 \text{ kg} \)
#### 2 a. \( 3 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
3 \times 1000 = 3,000 \text{ g}
$$
Answer: \( 3,000 \text{ g} \)
#### 2 b. \( 2,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
2,000 \div 1000 = 2 \text{ kg}
$$
Answer: \( 2 \text{ kg} \)
#### 3 a. \( 6,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
6,000 \div 1000 = 6 \text{ kg}
$$
Answer: \( 6 \text{ kg} \)
#### 3 b. \( 7,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
7,000 \div 1000 = 7 \text{ kg}
$$
Answer: \( 7 \text{ kg} \)
#### 4 a. \( 9 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
9 \times 1000 = 9,000 \text{ g}
$$
Answer: \( 9,000 \text{ g} \)
#### 4 b. \( 1 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
1 \times 1000 = 1,000 \text{ g}
$$
Answer: \( 1,000 \text{ g} \)
#### 5 a. \( 8 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
8 \times 1000 = 8,000 \text{ g}
$$
Answer: \( 8,000 \text{ g} \)
#### 5 b. \( 4 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
4 \times 1000 = 4,000 \text{ g}
$$
Answer: \( 4,000 \text{ g} \)
#### 6 a. \( 1 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
1 \times 1000 = 1,000 \text{ g}
$$
Answer: \( 1,000 \text{ g} \)
#### 6 b. \( 3 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
3 \times 1000 = 3,000 \text{ g}
$$
Answer: \( 3,000 \text{ g} \)
#### 7 a. \( 7 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
7 \times 1000 = 7,000 \text{ g}
$$
Answer: \( 7,000 \text{ g} \)
#### 7 b. \( 6,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
6,000 \div 1000 = 6 \text{ kg}
$$
Answer: \( 6 \text{ kg} \)
#### 8 a. \( 2 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
2 \times 1000 = 2,000 \text{ g}
$$
Answer: \( 2,000 \text{ g} \)
#### 8 b. \( 3,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
3,000 \div 1000 = 3 \text{ kg}
$$
Answer: \( 3 \text{ kg} \)
#### 9 a. \( 4,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
4,000 \div 1000 = 4 \text{ kg}
$$
Answer: \( 4 \text{ kg} \)
#### 9 b. \( 10,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
10,000 \div 1000 = 10 \text{ kg}
$$
Answer: \( 10 \text{ kg} \)
#### 10 a. \( 5,000 \text{ g} = \_\_\_\_\_ \text{ kg} \)
Convert grams to kilograms by dividing by 1000:
$$
5,000 \div 1000 = 5 \text{ kg}
$$
Answer: \( 5 \text{ kg} \)
#### 10 b. \( 6 \text{ kg} = \_\_\_\_\_ \text{ g} \)
Convert kilograms to grams by multiplying by 1000:
$$
6 \times 1000 = 6,000 \text{ g}
$$
Answer: \( 6,000 \text{ g} \)
Final Answers:
\[
\boxed{
\begin{array}{ll}
1 \text{ a. } 10 \text{ kg} & 1 \text{ b. } 5 \text{ kg} \\
2 \text{ a. } 3,000 \text{ g} & 2 \text{ b. } 2 \text{ kg} \\
3 \text{ a. } 6 \text{ kg} & 3 \text{ b. } 7 \text{ kg} \\
4 \text{ a. } 9,000 \text{ g} & 4 \text{ b. } 1,000 \text{ g} \\
5 \text{ a. } 8,000 \text{ g} & 5 \text{ b. } 4,000 \text{ g} \\
6 \text{ a. } 1,000 \text{ g} & 6 \text{ b. } 3,000 \text{ g} \\
7 \text{ a. } 7,000 \text{ g} & 7 \text{ b. } 6 \text{ kg} \\
8 \text{ a. } 2,000 \text{ g} & 8 \text{ b. } 3 \text{ kg} \\
9 \text{ a. } 4 \text{ kg} & 9 \text{ b. } 10 \text{ kg} \\
10 \text{ a. } 5 \text{ kg} & 10 \text{ b. } 6,000 \text{ g}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of conversions worksheet answers.