Question

1 - 0.(9)=x ? (девять в периоде)

Answer 1

Ответ:

0,(1) (в периоде)

Пошаговое объяснение:

1-0,9=x

x=1-0,9

x=0,1

Answer 2

Yes, 1 - 0.(9) is equal to 0. This may seem counterintuitive, but it can be shown mathematically.

Let x = 0.(9) (i.e., 0.99999... with an infinite number of nines).

Multiplying both sides of this equation by 10, we get:

10x = 9.(9) (i.e., 9.9999... with an infinite number of nines)

Now, subtracting the original equation from this one, we get:

10x - x = 9.(9) - 0.(9)

Simplifying both sides, we get:

9x = 9

Dividing both sides by 9, we get:

x = 1

Therefore, 1 - 0.(9) is equal to 1 - 1, which is equal to 0.