tell which place value positions need to be regrouped after mutiplying a single digit and 2 digit number like 3x29
To determine which place value positions need to be regrouped after multiplying a single-digit number by a two-digit number, such as 3 x 29, you need to follow a simple process. Here's how you can do it step by step:
1. Begin by writing down the multiplication problem vertically, with the single-digit number beneath the tens place of the two-digit number. It should look like this:
3
x 29
2. Start by multiplying the ones place of the two-digit number (9) by the single-digit number (3):
3
x 29
-----
27
3. Write down the result (27) underneath the line, aligned with the ones place.
3
x 29
-----
27
4. Now, multiply the tens place of the two-digit number (2) by the single-digit number (3):
3
x 29
-----
+ 27
-----
6
5. Write down the result (6) underneath the line, aligned with the tens place.
3
x 29
-----
+ 27
-----
87
6. The multiplication is complete, and the product of 3 x 29 is 87.
In this example, since there are no carrying or regrouping needed, none of the place value positions required regrouping.
Understanding the regrouping process becomes essential when multiplying larger numbers, where carrying occurs between place value positions.