To write the number 0.000000026 in scientific notation, follow these steps:
1. Identify the significant figures: The significant figures of the number 0.000000026 are 2.6.
2. Determine the exponent: Count the number of places you need to move the decimal point to the right to transform 0.000000026 into a number between 1 and 10. In this case, you need to move the decimal point 8 places to the right.
3. Compose the notation: Combine the significant figures with the power of 10. Since you moved the decimal point 8 places to the right, the exponent will be -8.
So, 0.000000026 written in scientific notation is:
[tex]\[ 2.60 \times 10^{-8} \][/tex]
Therefore, the number 0.000000026 in scientific notation is [tex]\( 2.60 \times 10^{-8} \)[/tex].
