Question

write 0.0000005366 in scientific notation.

Explanation:

Step1: Identify the coefficient

To write a number in scientific notation \( a \times 10^n \), we need to find \( a \) such that \( 1 \leq |a| < 10 \). For \( 0.0000005366 \), we move the decimal point to the right until we get a number between 1 and 10. Moving the decimal 7 places to the right gives \( 5.366 \).

Step2: Determine the exponent

Since we moved the decimal point 7 places to the right, the exponent \( n \) is -7 (because the original number is less than 1, the exponent is negative). So the scientific notation is \( 5.366 \times 10^{-7} \).

Answer:

\( 5.366 \times 10^{-7} \)