How is multiplying a 2-digit number by a 1-digit number the same as multiplying a 3-digit number by a 1-digit number and how is it different?

Answer 1

They are the same because they are both multiplication. They also can be the same if the two digit number times by the one digit number equals a three digit number.

They are different because the 3 digits number will obviously produce a higher product.

Answer 2

Multiplying a 2-digit number by a 1-digit number involves multiplying the digits in the ones and tens place and then adding the products. Similarly, multiplying a 3-digit number by a 1-digit number follows the same principle, where you multiply the digits in the ones, tens, and hundreds place and then add the products. The main difference is that in the latter case, you are dealing with three sets of digits to multiply and add, whereas in the former, you only have two sets of digits.