Fun and educational worksheet for converting mass units, designed for kids with a cheerful illustration of children doing science experiments.
A colorful worksheet titled "Converting Mass Units" with exercises to convert measurements between different metric units, featuring a cartoon illustration of two children using a balance scale.
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Step-by-step solution for: Converting Mass Units worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Converting Mass Units worksheet
To solve the problem of converting mass units, we need to use the relationships between different units of mass. Here are the key conversions:
1. 1 kg = 1000 g
2. 1 g = 1000 mg
3. 1 g = 10 cg
4. 1 g = 10 dg
5. 1 hg = 100 g
6. 1 dag = 10 g
Using these relationships, let's solve each part step by step.
---
- 1 dag = 10 g
- 1 hg = 100 g
- Convert dag to g: \( 10 \, \text{dag} = 10 \times 10 = 100 \, \text{g} \)
- Convert g to hg: \( 100 \, \text{g} = \frac{100}{100} = 1 \, \text{hg} \)
Answer: \( 1 \, \text{hg} \)
---
- 1 g = 10 cg
- Convert cg to g: \( 580 \, \text{cg} = \frac{580}{10} = 58 \, \text{g} \)
Answer: \( 58 \, \text{g} \)
---
- 1 g = 1000 mg
- Convert g to mg: \( 1 \, \text{g} = 1 \times 1000 = 1000 \, \text{mg} \)
Answer: \( 1000 \, \text{mg} \)
---
- 1 g = 10 cg
- Convert g to cg: \( 5 \, \text{g} = 5 \times 10 = 50 \, \text{cg} \)
Answer: \( 50 \, \text{cg} \)
---
- 1 g = 1000 mg
- Convert mg to g: \( 6.000 \, \text{mg} = \frac{6.000}{1000} = 0.006 \, \text{g} \)
Answer: \( 0.006 \, \text{g} \)
---
- 1 g = 10 cg
- 1 dag = 10 g
- Convert cg to g: \( 5.000 \, \text{cg} = \frac{5.000}{10} = 0.5 \, \text{g} \)
- Convert g to dag: \( 0.5 \, \text{g} = \frac{0.5}{10} = 0.05 \, \text{dag} \)
Answer: \( 0.05 \, \text{dag} \)
---
- 1 g = 10 dg
- 1 hg = 100 g
- Convert dg to g: \( 3.000 \, \text{dg} = \frac{3.000}{10} = 0.3 \, \text{g} \)
- Convert g to hg: \( 0.3 \, \text{g} = \frac{0.3}{100} = 0.003 \, \text{hg} \)
Answer: \( 0.003 \, \text{hg} \)
---
- 1 g = 10 dg
- 1 dag = 10 g
- Convert dg to g: \( 530 \, \text{dg} = \frac{530}{10} = 53 \, \text{g} \)
- Convert g to dag: \( 53 \, \text{g} = \frac{53}{10} = 5.3 \, \text{dag} \)
Answer: \( 5.3 \, \text{dag} \)
---
- 1 g = 10 cg
- 1 hg = 100 g
- Convert cg to g: \( 60.000 \, \text{cg} = \frac{60.000}{10} = 6 \, \text{g} \)
- Convert g to hg: \( 6 \, \text{g} = \frac{6}{100} = 0.06 \, \text{hg} \)
Answer: \( 0.06 \, \text{hg} \)
---
- 1 hg = 100 g
- 1 dag = 10 g
- Convert hg to g: \( 6.9 \, \text{hg} = 6.9 \times 100 = 690 \, \text{g} \)
- Convert g to dag: \( 690 \, \text{g} = \frac{690}{10} = 69 \, \text{dag} \)
Answer: \( 69 \, \text{dag} \)
---
- 1 g = 1000 mg
- 1 g = 10 cg
- Convert mg to g: \( 60 \, \text{mg} = \frac{60}{1000} = 0.06 \, \text{g} \)
- Convert g to cg: \( 0.06 \, \text{g} = 0.06 \times 10 = 0.6 \, \text{cg} \)
Answer: \( 0.6 \, \text{cg} \)
---
- 1 dag = 10 g
- 1 g = 10 dg
- Convert dag to g: \( 4 \, \text{dag} = 4 \times 10 = 40 \, \text{g} \)
- Convert g to dg: \( 40 \, \text{g} = 40 \times 10 = 400 \, \text{dg} \)
Answer: \( 400 \, \text{dg} \)
---
- 1 hg = 100 g
- Convert hg to g: \( 9.7 \, \text{hg} = 9.7 \times 100 = 970 \, \text{g} \)
Answer: \( 970 \, \text{g} \)
---
- 1 hg = 100 g
- Convert g to hg: \( 560 \, \text{g} = \frac{560}{100} = 5.6 \, \text{hg} \)
Answer: \( 5.6 \, \text{hg} \)
---
- 1 kg = 1000 g
- 1 dag = 10 g
- Convert kg to g: \( 2.1 \, \text{kg} = 2.1 \times 1000 = 2100 \, \text{g} \)
- Convert g to dag: \( 2100 \, \text{g} = \frac{2100}{10} = 210 \, \text{dag} \)
Answer: \( 210 \, \text{dag} \)
---
- 1 dag = 10 g
- 1 kg = 1000 g
- Convert dag to g: \( 170 \, \text{dag} = 170 \times 10 = 1700 \, \text{g} \)
- Convert g to kg: \( 1700 \, \text{g} = \frac{1700}{1000} = 1.7 \, \text{kg} \)
Answer: \( 1.7 \, \text{kg} \)
---
- 1 g = 10 dg
- Convert g to dg: \( 7.8 \, \text{g} = 7.8 \times 10 = 78 \, \text{dg} \)
Answer: \( 78 \, \text{dg} \)
---
- 1 g = 10 dg
- 1 hg = 100 g
- Convert dg to g: \( 8.600 \, \text{dg} = \frac{8.600}{10} = 0.86 \, \text{g} \)
- Convert g to hg: \( 0.86 \, \text{g} = \frac{0.86}{100} = 0.0086 \, \text{hg} \)
Answer: \( 0.0086 \, \text{hg} \)
---
- 1 g = 10 cg
- Convert g to cg: \( 6 \, \text{g} = 6 \times 10 = 60 \, \text{cg} \)
Answer: \( 60 \, \text{cg} \)
---
- 1 g = 10 dg
- Convert g to dg: \( 10 \, \text{g} = 10 \times 10 = 100 \, \text{dg} \)
Answer: \( 100 \, \text{dg} \)
---
\[
\boxed{
\begin{array}{ll}
a) & 1 \, \text{hg} \\
b) & 58 \, \text{g} \\
c) & 1000 \, \text{mg} \\
d) & 50 \, \text{cg} \\
e) & 0.006 \, \text{g} \\
f) & 0.05 \, \text{dag} \\
g) & 0.003 \, \text{hg} \\
h) & 5.3 \, \text{dag} \\
i) & 0.06 \, \text{hg} \\
j) & 69 \, \text{dag} \\
k) & 0.6 \, \text{cg} \\
l) & 400 \, \text{dg} \\
m) & 970 \, \text{g} \\
n) & 5.6 \, \text{hg} \\
o) & 210 \, \text{dag} \\
p) & 1.7 \, \text{kg} \\
q) & 78 \, \text{dg} \\
r) & 0.0086 \, \text{hg} \\
s) & 60 \, \text{cg} \\
t) & 100 \, \text{dg} \\
\end{array}
}
\]
1. 1 kg = 1000 g
2. 1 g = 1000 mg
3. 1 g = 10 cg
4. 1 g = 10 dg
5. 1 hg = 100 g
6. 1 dag = 10 g
Using these relationships, let's solve each part step by step.
---
Part a) 10 Dag = ______ Hg
- 1 dag = 10 g
- 1 hg = 100 g
- Convert dag to g: \( 10 \, \text{dag} = 10 \times 10 = 100 \, \text{g} \)
- Convert g to hg: \( 100 \, \text{g} = \frac{100}{100} = 1 \, \text{hg} \)
Answer: \( 1 \, \text{hg} \)
---
Part b) 580 cg = ______ g
- 1 g = 10 cg
- Convert cg to g: \( 580 \, \text{cg} = \frac{580}{10} = 58 \, \text{g} \)
Answer: \( 58 \, \text{g} \)
---
Part c) 1 g = ______ mg
- 1 g = 1000 mg
- Convert g to mg: \( 1 \, \text{g} = 1 \times 1000 = 1000 \, \text{mg} \)
Answer: \( 1000 \, \text{mg} \)
---
Part d) 5 g = ______ cg
- 1 g = 10 cg
- Convert g to cg: \( 5 \, \text{g} = 5 \times 10 = 50 \, \text{cg} \)
Answer: \( 50 \, \text{cg} \)
---
Part e) 6.000 mg = ______ g
- 1 g = 1000 mg
- Convert mg to g: \( 6.000 \, \text{mg} = \frac{6.000}{1000} = 0.006 \, \text{g} \)
Answer: \( 0.006 \, \text{g} \)
---
Part f) 5.000 cg = ______ Dag
- 1 g = 10 cg
- 1 dag = 10 g
- Convert cg to g: \( 5.000 \, \text{cg} = \frac{5.000}{10} = 0.5 \, \text{g} \)
- Convert g to dag: \( 0.5 \, \text{g} = \frac{0.5}{10} = 0.05 \, \text{dag} \)
Answer: \( 0.05 \, \text{dag} \)
---
Part g) 3.000 dg = ______ hg
- 1 g = 10 dg
- 1 hg = 100 g
- Convert dg to g: \( 3.000 \, \text{dg} = \frac{3.000}{10} = 0.3 \, \text{g} \)
- Convert g to hg: \( 0.3 \, \text{g} = \frac{0.3}{100} = 0.003 \, \text{hg} \)
Answer: \( 0.003 \, \text{hg} \)
---
Part h) 530 dg = ______ Dag
- 1 g = 10 dg
- 1 dag = 10 g
- Convert dg to g: \( 530 \, \text{dg} = \frac{530}{10} = 53 \, \text{g} \)
- Convert g to dag: \( 53 \, \text{g} = \frac{53}{10} = 5.3 \, \text{dag} \)
Answer: \( 5.3 \, \text{dag} \)
---
Part i) 60.000 cg = ______ Hg
- 1 g = 10 cg
- 1 hg = 100 g
- Convert cg to g: \( 60.000 \, \text{cg} = \frac{60.000}{10} = 6 \, \text{g} \)
- Convert g to hg: \( 6 \, \text{g} = \frac{6}{100} = 0.06 \, \text{hg} \)
Answer: \( 0.06 \, \text{hg} \)
---
Part j) 6.9 Hg = ______ Dag
- 1 hg = 100 g
- 1 dag = 10 g
- Convert hg to g: \( 6.9 \, \text{hg} = 6.9 \times 100 = 690 \, \text{g} \)
- Convert g to dag: \( 690 \, \text{g} = \frac{690}{10} = 69 \, \text{dag} \)
Answer: \( 69 \, \text{dag} \)
---
Part k) 60 mg = ______ cg
- 1 g = 1000 mg
- 1 g = 10 cg
- Convert mg to g: \( 60 \, \text{mg} = \frac{60}{1000} = 0.06 \, \text{g} \)
- Convert g to cg: \( 0.06 \, \text{g} = 0.06 \times 10 = 0.6 \, \text{cg} \)
Answer: \( 0.6 \, \text{cg} \)
---
Part l) 4 Dag = ______ dg
- 1 dag = 10 g
- 1 g = 10 dg
- Convert dag to g: \( 4 \, \text{dag} = 4 \times 10 = 40 \, \text{g} \)
- Convert g to dg: \( 40 \, \text{g} = 40 \times 10 = 400 \, \text{dg} \)
Answer: \( 400 \, \text{dg} \)
---
Part m) 9.7 hg = ______ g
- 1 hg = 100 g
- Convert hg to g: \( 9.7 \, \text{hg} = 9.7 \times 100 = 970 \, \text{g} \)
Answer: \( 970 \, \text{g} \)
---
Part n) 560 g = ______ Hg
- 1 hg = 100 g
- Convert g to hg: \( 560 \, \text{g} = \frac{560}{100} = 5.6 \, \text{hg} \)
Answer: \( 5.6 \, \text{hg} \)
---
Part o) 2.1 kg = ______ Dag
- 1 kg = 1000 g
- 1 dag = 10 g
- Convert kg to g: \( 2.1 \, \text{kg} = 2.1 \times 1000 = 2100 \, \text{g} \)
- Convert g to dag: \( 2100 \, \text{g} = \frac{2100}{10} = 210 \, \text{dag} \)
Answer: \( 210 \, \text{dag} \)
---
Part p) 170 Dag = ______ Kg
- 1 dag = 10 g
- 1 kg = 1000 g
- Convert dag to g: \( 170 \, \text{dag} = 170 \times 10 = 1700 \, \text{g} \)
- Convert g to kg: \( 1700 \, \text{g} = \frac{1700}{1000} = 1.7 \, \text{kg} \)
Answer: \( 1.7 \, \text{kg} \)
---
Part q) 7.8 g = ______ dg
- 1 g = 10 dg
- Convert g to dg: \( 7.8 \, \text{g} = 7.8 \times 10 = 78 \, \text{dg} \)
Answer: \( 78 \, \text{dg} \)
---
Part r) 8.600 dg = ______ Hg
- 1 g = 10 dg
- 1 hg = 100 g
- Convert dg to g: \( 8.600 \, \text{dg} = \frac{8.600}{10} = 0.86 \, \text{g} \)
- Convert g to hg: \( 0.86 \, \text{g} = \frac{0.86}{100} = 0.0086 \, \text{hg} \)
Answer: \( 0.0086 \, \text{hg} \)
---
Part s) 6 g = ______ cg
- 1 g = 10 cg
- Convert g to cg: \( 6 \, \text{g} = 6 \times 10 = 60 \, \text{cg} \)
Answer: \( 60 \, \text{cg} \)
---
Part t) 10 g = ______ dg
- 1 g = 10 dg
- Convert g to dg: \( 10 \, \text{g} = 10 \times 10 = 100 \, \text{dg} \)
Answer: \( 100 \, \text{dg} \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
a) & 1 \, \text{hg} \\
b) & 58 \, \text{g} \\
c) & 1000 \, \text{mg} \\
d) & 50 \, \text{cg} \\
e) & 0.006 \, \text{g} \\
f) & 0.05 \, \text{dag} \\
g) & 0.003 \, \text{hg} \\
h) & 5.3 \, \text{dag} \\
i) & 0.06 \, \text{hg} \\
j) & 69 \, \text{dag} \\
k) & 0.6 \, \text{cg} \\
l) & 400 \, \text{dg} \\
m) & 970 \, \text{g} \\
n) & 5.6 \, \text{hg} \\
o) & 210 \, \text{dag} \\
p) & 1.7 \, \text{kg} \\
q) & 78 \, \text{dg} \\
r) & 0.0086 \, \text{hg} \\
s) & 60 \, \text{cg} \\
t) & 100 \, \text{dg} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of mass conversions worksheet.