To solve the expression \(200:57+10000:30-2000\), we first interpret ":" as division. Thus, we rewrite the expression as:
\[ \frac{200}{57} + \frac{10000}{30} - 2000 \]
Now let's calculate each term step by step:
Calculate \(\frac{200}{57}\): \[ \frac{200}{57} \approx 3.50877 \]
Calculate \(\frac{10000}{30}\): \[ \frac{10000}{30} \approx 333.3333 \]
Combine the results: \[ 3.50877 + 333.3333 - 2000 \]
First, add \(3.50877\) and \(333.3333\): \[ 3.50877 + 333.3333 \approx 336.84207 \]
Now, subtract \(2000\): \[ 336.84207 - 2000 \approx -1663.15793 \]
Thus, the result of the expression \(200:57 + 10000:30 - 2000\) is approximately:
\[ \boxed{-1663.16} \]
