Add `(0.001+0.02)` upto correct no. 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 will follow these steps:

### Step 1: Identify the Numbers
We have two numbers to add:
- \(0.001\)
- \(0.02\)

### Step 2: Perform the Addition
Now, let's add these two numbers:
\[ 0.001 + 0.02 = 0.021 \]

### Step 3: Determine Significant Figures in Each Number
Next, we need to determine the number of significant figures in each of the two numbers:
- For \(0.001\): The only significant figure is \(1\) (the leading zeros are not significant), so it has **1 significant figure**.
- For \(0.02\): The only significant figure is \(2\) (the leading zero is not significant), so it also has **1 significant figure**.

### Step 4: Identify the Minimum Significant Figures
The rule for addition states that the result should be reported with the same number of decimal places as the number with the least precision. Here, both numbers have **1 significant figure**.

### Step 5: Round the Result
The result of our addition is \(0.021\). However, since we need to express this result with **1 significant figure**, we round it:
- The first significant figure in \(0.021\) is \(2\). The digit following \(2\) is \(1\), which means we round down. Thus, we keep it as \(0.02\).

### Final Answer
The final answer, expressed with the correct number of significant figures, is:
\[ \boxed{0.02} \]

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