Simplify 22 × 10 ÷ 5 × 2 + 12.

The correct option is 100.

To simplify the given expression, we follow the order of operations (BODMAS/PEMDAS). The operations of multiplication ($\times$) and division ($÷$) have the same priority and must be performed from left to right as they appear, followed by addition ($+$).

The given expression is:

$22\times 10÷5\times 2+12$

Step 1: Perform the first multiplication from the left, which is $22\times 10$:

$22\times 10=220$

The expression now becomes:

$220÷5\times 2+12$

Step 2: Perform the division, which is $220÷5$:

$220÷5=44$

The expression now becomes:

$44\times 2+12$

Step 3: Perform the multiplication, which is $44\times 2$:

$44\times 2=88$

The expression now becomes:

$88+12$

Step 4: Perform the addition:

$88+12=100$

Thus, the simplified value of the expression is 100.