Express the following numbers in standard form.
`0.00000000000942`

Answer

To express the number `0.00000000000942` in standard form, we will follow these steps:

### Step 1: Identify the significant figures
The significant figures in the number `0.00000000000942` are `9.42`. We need to place the decimal point after the first non-zero digit.

### Step 2: Move the decimal point
We move the decimal point in `9.42` to the right until it is just after the first digit. In this case, we move it 12 places to the right to convert `0.00000000000942` to `9.42`.

### Step 3: Count the shifts
Since we moved the decimal point 12 places to the right, we will express this as a power of 10. Because we are moving to the right, we will use a negative exponent.

### Step 4: Write the final answer
Thus, we can express `0.00000000000942` in standard form as:
\[ 9.42 \times 10^{-12} \]

### Summary of the steps:
1. Identify significant figures: `9.42`
2. Move the decimal point to get `9.42`
3. Count the shifts: 12 places to the right
4. Write in standard form: \( 9.42 \times 10^{-12} \)

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