When multiplying two-digit numbers without regrouping, you line up the digits vertically and multiply each digit in the ones place by each digit in the tens place. Then, you add up all the products to get your final answer.
Regrouping in multiplication happens when you multiply a digit in one place value column that results in a product greater than nine. In this case, you carry over or regroup some of the value to the next column before adding it up.
You can practice two-digit by two-digit multiplication by using worksheets, online interactive games, or creating your own word problems to solve. You can also use manipulatives like base-ten blocks or place value disks to model the multiplication process.