How do you write 0.00000007036 in scientific notation?

Answer 1

To write the number \(0.00000007036\) in scientific notation, follow these steps:

1. Identify the significant figures: For \(0.00000007036\), the significant figures start from the first non-zero digit, which is \(7\).

2. Move the decimal point: Move the decimal point to the right until it is after the first non-zero digit. In this case, you move the decimal point 8 places to the right: \[ 7.036 \]

3. Count the shifts: Since we moved the decimal point 8 places to the right, this movement is expressed as a power of 10. Since we moved right, this will result in a negative exponent.

4. Write in scientific notation: Combine the number with the power of 10: \[ 7.036 \times 10^{-8} \]

Therefore, \(0.00000007036\) can be written in scientific notation as: \[ 7.036 \times 10^{-8} \]