Question

write the number in scientific notation.
0.0000000000009256 = \boxed{}

Explanation:

Step1: Identify the coefficient and exponent

To write a number in scientific notation, we express it as \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer. For the number \( 0.0000000000009256 \), we move the decimal point to the right until we get a number between 1 and 10. We move the decimal point 13 places to the right to get \( 9.256 \).

Step2: Determine the exponent

Since we moved the decimal point 13 places to the right, the exponent \( n \) is -13 (because the original number is less than 1, the exponent is negative). So the number in scientific notation is \( 9.256 \times 10^{-13} \).

Answer:

\( 9.256 \times 10^{-13} \)