Final answer:
The expanded form of the number 4.902 is 4 * 1 + 9 * 1/10 + 2 * 1/1,000, breaking the number down into its respective place values.
Step-by-step explanation:
The question asks us to write the number 4.902 in expanded form, which would break down the number by its place values. Each digit is represented by its value. The correct expanded form of 4.902 is expressed as:
4 * 1 + 9 * 1/10 + 0 * 1/100 + 2 * 1/1,000
In this expansion, 4 * 1 represents the ones place, 9 * 1/10 represents the tenths place, 0 * 1/100 (which equals 0 and can be omitted) represents the hundredths place, and 2 * 1/1,000 represents the thousandths place. Therefore, the correct answer to the question is 4.902 in expanded form is b. 4 * 1 + 9 * 1/10 + 2 * 1/1,000.