Final answer:
To divide 9.20 by 100, move the decimal two places to the left, resulting in 0.092.
Step-by-step explanation:
Dividing 9.20 by 100 and Writing in Expanded Form
To divide 9.20 by 100, you simply move the decimal point two places to the left because you are dividing by a power of ten—10². The result is 0.092. Writing this product in expanded form based on place values would be 0.09 + 0.002. The first term represents the hundredths place, and the second term the thousandths place.
For a clear understanding, let's look at another example: If you divide 1.9436 by 100, the result would be 0.019436. In expanded form, this is 0.01 + 0.009 + 0.0004 + 0.00003 + 0.000006.
Remember, dividing by 100 is equivalent to multiplying by 10⁻² (ten to the negative second power), which indicates the decimal point has been moved two places to the left.