Add (0.001 +0.02) upto correct number of significant figures

Options

A. 0.021
B. 0.02
C. 0.003
D. 0.001

Answer

To solve the problem of adding \(0.001\) and \(0.02\) while considering the correct number of significant figures, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: We have two numbers to add: \(0.001\) and \(0.02\).

2. **Determine Significant Figures**:
- For \(0.001\): The only significant figure is \(1\) (the leading zeros are not significant). Thus, it has **1 significant figure**.
- For \(0.02\): The significant figure is \(2\) (the leading zero is not significant). Thus, it also has **1 significant figure**.

3. **Perform the Addition**:
- Add the two numbers:
\[ 0.001 + 0.02 = 0.021 \]

4. **Determine the Correct Number of Significant Figures for the Result**:
- When adding numbers, the result should be reported to the least number of decimal places.
- \(0.001\) has 3 decimal places, while \(0.02\) has 2 decimal places. Therefore, we take the least, which is **2 decimal places**.

5. **Round the Result**:
- The result \(0.021\) has 3 decimal places. To round it to 2 decimal places, we look at the third decimal place (which is \(1\)). Since \(1 < 5\), we do not round up.
- Thus, \(0.021\) rounded to 2 decimal places remains \(0.02\).

6. **Final Answer**:
- The final answer, considering significant figures, is \(0.02\).

### Summary of the Solution:
The sum of \(0.001\) and \(0.02\) is \(0.021\), which is rounded to \(0.02\) when considering significant figures.

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