Question

$$2\times1+1\times\frac{1}{10}+5\times\frac{1}{100}+\boxed{\times}\frac{1}{1000}$$

Answer

11000*boxe*d+5612

Solution


Simplify  \(2\times 1\)  to  \(2\).
\[2+1\times 110+5\times 1100+boxed\times 11000\]
Simplify  \(1\times 110\)  to  \(110\).
\[2+110+5\times 1100+boxed\times 11000\]
Simplify  \(5\times 1100\)  to  \(5500\).
\[2+110+5500+boxed\times 11000\]
Regroup terms.
\[2+110+5500+11000boxed\]
Collect like terms.
\[11000boxed+(2+110+5500)\]
Simplify.
\[11000boxed+5612\]