Fill in the blanks
`0.0000123` written in standard from is `"………."`

Options

A. `123 xx 10^(-7)`
B. `1.23 xx 10^(-5)`
C. `12.3 xx 10^(-6)`
D. `1.23 xx 10^(5)`

Answer

To convert the number `0.0000123` into standard form, we follow these steps:

### Step-by-Step Solution:

1. **Identify the number**: We start with the number `0.0000123`.

2. **Move the decimal point**: We need to move the decimal point to the right until we have one non-zero digit to the left of the decimal. In this case, we move the decimal point 5 places to the right to get `1.23`.

3. **Count the number of places moved**: Since we moved the decimal point 5 places to the right, we will express this movement in terms of a power of 10.

4. **Write in standard form**: The standard form is written as:
\[ 1.23 \times 10^{-5} \]
Here, the exponent is negative because we moved the decimal to the right.

### Final Answer:
Thus, `0.0000123` written in standard form is:
\[ 1.23 \times 10^{-5} \]