Answer
$1900$
Work Step by Step
We start with the given expression: $10\times2\times19\times5$
The commutative property of multiplication states that changing the order of the factors does not affect the product.
We use this property to rearrange the factors: $10\times2\times5\times19$
The associative property of multiplication states that changing the grouping of the factors does not affect the product.
We use this property to group two of the factors: $10\times(2\times5)\times19$
We now use the order of operations to simplify the expression:
First, we simplify inside the parentheses: $10\times10\times19$
Next, we multiply from left to right: $100\times19=1900$