Which of the following number is in standard form?

Options

A. `32.63 xx 10^(4)`
B. `326.3 xx 10^(3)`
C. `3.263 xx 10^(5)`
D. none of these

Answer

To determine which of the given numbers is in standard form, we need to understand what standard form is. Standard form (also known as scientific notation) is a way of expressing numbers that have a single non-zero digit to the left of the decimal point, followed by a decimal point and the remaining digits, multiplied by a power of ten.

### Step-by-Step Solution:

1. **Understand the Definition of Standard Form**:
- Standard form is expressed as \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
- The number \( a \) should have only one non-zero digit to the left of the decimal point.

2. **Analyze the Given Options**:
- Let's assume the options are:
- A) \( 32.63 \times 10^4 \)
- B) \( 0.03263 \times 10^5 \)
- C) \( 3.263 \times 10^5 \)
- D) \( 326.3 \times 10^3 \)

3. **Check Each Option**:
- **Option A: \( 32.63 \times 10^4 \)**
- The number \( 32.63 \) has two digits before the decimal point. This does not satisfy the standard form requirement.
- **Option B: \( 0.03263 \times 10^5 \)**
- The number \( 0.03263 \) has a zero before the decimal point. This does not satisfy the standard form requirement.
- **Option C: \( 3.263 \times 10^5 \)**
- The number \( 3.263 \) has one digit before the decimal point, which satisfies the standard form requirement.
- **Option D: \( 326.3 \times 10^3 \)**
- The number \( 326.3 \) has two digits before the decimal point. This does not satisfy the standard form requirement.

4. **Conclusion**:
- The only option that meets the criteria for standard form is **Option C: \( 3.263 \times 10^5 \)**.

### Final Answer:
**Option C: \( 3.263 \times 10^5 \)** is in standard form.