To write 0.11 in scientific notation, follow these steps:
1. Identify the coefficient: Scientific notation is essentially a way to write numbers that are too large or too small in a more compact and standard form. It is written as the product of a number (the coefficient) between 1 and 10 and a power of 10. For 0.11, we need to express it as a number between 1 and 10. So, we move the decimal point one place to the right, which gives us the coefficient of 1.1.
2. Determine the exponent: Next, we need to determine the exponent of 10. Since we moved the decimal point one place to the right to get 1.1, we need to balance that by multiplying by 10 to the power of -1. This is because moving the decimal place to the right decreases the exponent by 1.
3. Combine the coefficient and exponent: The coefficient we have is 1.1, and the exponent is -1.
Putting it all together, the scientific notation for 0.11 is:
[tex]\[ 1.1 \times 10^{-1} \][/tex]
