What does regroping mean in multiplucation?

"Regrouping" in multiplication (sometimes called "carrying") is a way of dealing with numbers that are too big to fit in a single place value column during multiplication. It's basically a way of carrying over excess value to the next place value.

Here's a breakdown:

1. Multiplication Process:

* When you multiply two numbers, you usually start by multiplying the ones place digits.

* If the product of those digits is 10 or greater, the ones place digit of that product goes in the ones place of the answer, and the tens place digit is "carried over" to the tens place column.

2. Regrouping in Action:

* Example: Let's say you're multiplying 34 x 5.

* You start by multiplying 4 (ones place of 34) by 5. The answer is 20.

* The "0" goes in the ones place of the answer, and the "2" (representing 2 tens) is carried over to the tens place column.

3. Carrying Over:

* The carried over number is added to the product of the tens place digits (3 x 5 = 15).

* So, you have 15 + 2 (the carried over number) = 17.

* The "7" goes in the tens place of the answer, and the "1" (representing 1 hundred) goes in the hundreds place.

4. Result:

* The final answer for 34 x 5 is 170.

In essence, regrouping helps us keep track of all the place values involved in multiplication, ensuring we arrive at the correct answer.