If $44 \times 25=\square \times 100$, the number that should replace the $\square$ is
(A) 11
(B) 176
(C) 0.0909
(D) 56.8181
(E) 40
Solution 1

Evaluating the left side of the equation, we get $44 \times 25=1100$.

Thus, the number that should replace the $\square$ is $1100 \div 100=11$.

## Solution 2

The left side of the equation, $44 \times 25$, can be rewritten as $11 \times 4 \times 25$.

Since $11 \times 4 \times 25=11 \times 100$, then we can write $11 \times 100=\square \times 100$, so the number that should replace the $\square$ is 11 .

ANSWER: (A)