Final answer:
The expanded form of 4.092 is 4 + 0.09 + 0.002, breaking the number down into its individual place values, corresponding to option (b).
Step-by-step explanation:
The question asks what is 4.092 written in expanded form. The number 4.092 can be broken down into its place value components: 4 is in the ones place, 9 is in the tenths place (0.9), 0 is in the hundredths place (0.00), and 2 is in the thousandths place (0.002). Therefore, in expanded form, 4.092 is written as 4 + 0.09 + 0.002, which corresponds to option (b) among the choices provided.
To understand expanded form, consider the value of each digit according to its place. The digit 4 represents 4 ones, which is simply 4. The digit 9 represents 9 tenths, or 0.9. The digit 0 represents 0 hundredths, or 0.00 (which is typically omitted in expanded form, as it adds no value). Lastly, the digit 2 represents 2 thousandths, or 0.002. Combining these values, we get 4 (ones) + 0.09 (tenths) + 0.002 (thousandths).