The number of significant figures in 6.320 is

Options

A. 4
B. 2
C. 3
D. 1

Answer

To determine the number of significant figures in the number 6.320, we can follow these steps:

### Step 1: Identify Non-Zero Digits
The first step is to identify all the non-zero digits in the number. In 6.320, the non-zero digits are:
- 6
- 3
- 2

### Step 2: Count Non-Zero Digits
Count the non-zero digits identified in Step 1. In this case, we have three non-zero digits (6, 3, and 2).

### Step 3: Identify Zeros
Next, we need to identify any zeros in the number. In 6.320, there is one zero, which is located after the decimal point.

### Step 4: Determine the Significance of Zeros
According to the rules of significant figures:
- Any zeros that are between non-zero digits are significant.
- Any trailing zeros in a decimal number (after a non-zero digit) are also significant.

In 6.320, the zero is trailing after the 2 and is significant because it indicates precision in the measurement.

### Step 5: Count All Significant Figures
Now, we can count all the significant figures:
- Non-zero digits: 6, 3, 2 (3 significant figures)
- Significant zero: 0 (1 significant figure)

Adding these together gives us a total of 4 significant figures.

### Final Answer
The number of significant figures in 6.320 is **4**.

---