Express the number in standard form: 0.00001275

Answer

To express the number 0.00001275 in standard form, we follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: We start with the number 0.00001275.

2. **Move the Decimal Point**: To express this number in standard form, we need to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point. Here, we move the decimal point 3 places to the right:
- From 0.00001275 to 0.01275 (1 place)
- From 0.01275 to 0.1275 (2 places)
- From 0.1275 to 1.275 (3 places)

3. **Count the Decimal Places**: We moved the decimal point 5 places to the right. Therefore, we will represent this movement using a power of 10. Since we moved to the right, we will use a negative exponent:
- The number of places moved is 5, so we will use \(10^{-5}\).

4. **Write in Standard Form**: Now we can write the number in standard form:
\[ 1.275 \times 10^{-5} \]

### Final Answer:
Thus, the number 0.00001275 in standard form is:
\[ 1.275 \times 10^{-5} \]

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