Changing only parallax changes the inverse distance index. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Only the parallax index changes

Changing the parallax index to 1/10 gives distance index 10.

p=110,d=10p=\tfrac{1}{10},\quad d=10
Smaller parallax indexThe same inverse rule is checked again.parallaxIndex=1/10distanceIndex=10product=1

A smaller parallax index means a farther source

Because 1 is still the product, the farther label cannot be copied from the previous lesson.

11010=1\tfrac{1}{10}\cdot 10=1
Farther sourceOnly exact normalized indices are claimed.parallaxIndex=1/10distanceIndex=10product=1