Perform the indicated operation. Express your final answer to the correct number of significant figures 0.00389kg + 4.54g + 69.72g + 400.2cg

To perform the indicated operation and express the final answer to the correct number of significant figures, follow these steps:

### Step 1: Convert all units to the same unit.
Let's convert everything to kilograms (kg):

- \( 0.00389 \, \text{kg} \) is already in kilograms.
- \( 4.54 \, \text{g} = 4.54 \times 10^{-3} \, \text{kg} = 0.00454 \, \text{kg} \)
- \( 69.72 \, \text{g} = 69.72 \times 10^{-3} \, \text{kg} = 0.06972 \, \text{kg} \)
- \( 400.2 \, \text{cg} = 400.2 \times 10^{-5} \, \text{kg} = 0.004002 \, \text{kg} \)

### Step 2: Add the values together.
Now, add the values together:

\[
0.00389 \, \text{kg} + 0.00454 \, \text{kg} + 0.06972 \, \text{kg} + 0.004002 \, \text{kg} = 0.082152 \, \text{kg}
\]

### Step 3: Determine the correct number of significant figures.
- \( 0.00389 \) has 3 significant figures.
- \( 0.00454 \) has 3 significant figures.
- \( 0.06972 \) has 4 significant figures.
- \( 0.004002 \) has 4 significant figures.

Since we are adding, the result should be rounded to the least number of decimal places present in the original numbers, which is 5 decimal places (since \( 0.00389 \) has 5 decimal places).

### Step 4: Round the result.
\[
0.082152 \, \text{kg} \text{ rounded to 5 decimal places is } 0.08215 \, \text{kg}
\]

### Final Answer:
\[
\boxed{0.08215 \, \text{kg}}
\]

Would you like further details or have any questions?

Here are some related questions you might find interesting:
1. How do you convert grams to kilograms?
2. What is the rule for adding numbers with significant figures?
3. How do you handle significant figures when multiplying or dividing numbers?
4. Can you explain why 400.2cg is equivalent to 0.004002kg?
5. How do you round numbers to a specific number of significant figures?

**Tip:** Always make sure all measurements are in the same unit before performing any operation, especially in scientific calculations!

Learn how to perform unit conversion and correctly add values with different significant figures in the problem 0.00389kg + 4.54g + 69.72g + 400.2cg. This detailed solution explains each step, including the conversion of grams and centigrams to kilograms, and the proper rounding of the final answer. Suitable for students in Grades 9-12.

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