The significant digits in 200.40 are

Options

A. 4
B. 5
C. 2
D. 3

Answer

To determine the number of significant digits in the number 200.40, we will follow these steps:

### Step 1: Identify Non-Zero Digits
The first step is to identify the non-zero digits in the number. In 200.40, the non-zero digits are:
- 2
- 4

### Step 2: Count the Zeros
Next, we need to consider the zeros in the number:
- The zeros between non-zero digits are significant. In this case, the two zeros in 200 are between the non-zero digit 2 and the decimal point, so they are significant.
- The zero after the decimal point (in 200.40) is also significant because it indicates precision.

### Step 3: Total Count of Significant Digits
Now, we will count all the significant digits:
- Non-zero digits: 2 (from 2) and 4 (from 4) → 2 significant digits
- Zeros between non-zero digits: 2 zeros (from 200) → 2 significant digits
- Zero after the decimal point: 1 zero (from 200.40) → 1 significant digit

Adding these together:
- 2 (from 2 and 4) + 2 (from the zeros in 200) + 1 (from the zero after the decimal) = 5 significant digits.

### Conclusion
Thus, the total number of significant digits in 200.40 is **5**.

### Final Answer
The significant digits in 200.40 are **5**.

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