How to write 395,980 in expanded form

In order to be able to write a number in expanded form, you must first understand how to find the value of a number. Remember the value represents the worth of a number based on the place that it is in. Expanded form is a way to write the value of each individual digit.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)