The Steps of Regrouping (Borrowing)

Core Concepts

When regrouping is required in subtraction, this stack shows you the step-by-step process of 'going next door' to borrow a ten and bring it over to the ones place.

The Steps of Regrouping (Borrowing)

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When you regroup in subtraction, what exactly are you 'borrowing' from the tens place?

You are borrowing one ten, which is equal to $10$ ones.

Step 1: 'Go next door.' Which place value is 'next door' to the ones place?

The tens place.

Step 2: After 'going next door' to the tens place, what happens to the digit there?

You cross it out and write the number that is one less. For example, a $5$ becomes a $4$.

Step 3: After borrowing from the tens, what happens to the digit in the ones place?

It increases by $10$. You add the $10$ you borrowed to the ones that are already there.

In the problem $64 - 28$, you need to regroup. What does the $6$ in the tens place become?

The $6$ becomes a $5$ because you borrowed one ten from it.

In the problem $64 - 28$, after you regroup, what does the $4$ in the ones place become?

The $4$ becomes $14$. (The original $4$ ones plus the $10$ ones you borrowed).

Let's regroup the number $81$ to prepare for subtraction. What does it become?

The $8$ in the tens place becomes a $7$. The $1$ in the ones place becomes an $11$.

How do you regroup the number $50$?

The $5$ in the tens place becomes a $4$. The $0$ in the ones place becomes a $10$.

You have $3$ dimes and $2$ pennies ($32¢$). You need to pay for something that costs $5¢$. How do you regroup your money?

You trade $1$ dime for $10$ pennies. Now you have $2$ dimes and $12$ pennies, and you can pay the $5¢$.

After regrouping in the problem $43 - 19$, what is the new subtraction problem in the ones column?

$$ 13 - 9 $$

After regrouping in the problem $43 - 19$, what is the new subtraction problem in the tens column?

$$ 3 - 1 $$

The Steps of Regrouping (Borrowing)

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