Number of significant figures in `6.62 xx 10^(-34)`

Options

A. Two
B. Three
C. Four
D. One

Answer

To determine the number of significant figures in the number \(6.62 \times 10^{-34}\), we can follow these steps:

### Step 1: Identify the Non-Zero Digits
In the number \(6.62\), we first identify the non-zero digits. The digits \(6\), \(6\), and \(2\) are all non-zero.

### Step 2: Count the Non-Zero Digits
Count the non-zero digits identified in Step 1. We have:
- \(6\) (1 significant figure)
- \(6\) (1 significant figure)
- \(2\) (1 significant figure)

Total from non-zero digits = 3 significant figures.

### Step 3: Consider the Scientific Notation
The number is expressed in scientific notation as \(6.62 \times 10^{-34}\). The exponent \(10^{-34}\) does not affect the number of significant figures. We only consider the coefficient \(6.62\).

### Step 4: Conclusion
Since all the digits in \(6.62\) are significant (as they are all non-zero), the total number of significant figures in \(6.62 \times 10^{-34}\) is **3**.

### Final Answer
The number of significant figures in \(6.62 \times 10^{-34}\) is **3**.

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