Using Place Value to Subtract (Regrouping)
Basics on the topic Using Place Value to Subtract (Regrouping)
How can you use place value to subtract with regrouping?
You might already know that a place value chart is a great tool to help solve subtraction problems. When using it to subtract remember to;
 Start by representing, or showing the first number with tens rods and ones cubes.
 Then, subtract the second number starting with the ones place...
 If you need to regroup, you can take a ten from the tens place and move it to the ones place.
 Then, subtract the tens from the second number.
 Finally, count how many are left to find the answer!
Transcript Using Place Value to Subtract (Regrouping)
: "Look, Imani! We can use these as furniture!" : "Those are marbles, used in a game." : "Oh, then, teach me how to play, please!" Let's learn about 'Using Place Value to Subtract (regrouping)' to help Mr. Squeaks win the game. There are many strategies to help with subtraction. One of them is using a place value chart. Remember, place value is the value that a number has depending on where it is. When using place value to subtract... ALWAYS start by representing, or showing the first number with tens rods and ones cubes. Then, subtract the second number starting with the ones place... but, what happens if there aren't enough ones to subtract from? You can regroup, or borrow from another place value. We can take a ten from the tens place and move it to the ones place. To do this we must cross off one ten... then move it to the ones place and show it by drawing ten ones. Now we have fourteen ones, and enough to subtract the second number! After this, subtract the second number in the tens place from the first. Here we will subtract zero from the two in the tens place. Finally, count how many tens and ones are left in the place value chart to find the answer! Now that we have learned a bit about place value with regrouping, let's help Mr. Squeaks! While playing, he needs to subtract thirty minus sixteen. Remember, start by representing the first number on the place value chart. We can represent thirty, with three tens and zero ones. Next, subtract the second number from the first by crossing out ones. We have zero ones and need to subtract six, which means we need to regroup! We can do this by crossing out a ten and drawing ten ones in the ones place. Now we can subtract six! After this we need to subtract one ten from the one in sixteen. Finally, we can count how many are left to find our answer! How many marbles did Mr. Squeaks have left? He had fourteen marbles! Mr. Squeaks wants to play again, and this time he needs to subtract thirtyfive minus twentyseven. ALWAYS start by representing, or, showing the first number with tens rods and ones cubes. Thirtyfive has three tens and five ones. Next, subtract the second number from the first by crossing out ones. We need to subtract the seven in twentyseven from the five in thirtyfive, but there aren't enough ones... so we must regroup! We need to take one ten from the tens place... and move it to the ones place! Now we can take away seven. After that, we can subtract the two from the tens place. Finally, we can count how many are left to find our answer! How many marbles did Mr. Squeaks have left? He had eight marbles! Before we see if Mr. Squeaks won, let's review. Remember, when using place value to subtract with regrouping... start by representing, or showing the first number with tens rods and ones cubes. next, subtract the second number from the first by crossing out ones. after that, regroup by moving a ten to the ones place. Then, subtract the tens from the second number. Finally, count how many are left to find our answer! And, Mr. Squeaks? Well, he might need help from Imani's beam to get the marbles home.
Using Place Value to Subtract (Regrouping) exercise

When do you use regrouping to solve subtraction problems?
HintsYou do not need to regroup if you have too many or just enough ones in the ones place to subtract the second number.
Regrouping moves a ten into the ones place to give you more ones in order to subtract the second number.
SolutionIt is helpful to regroup if there are not enough ones to subtract the second number.
Regrouping allows you to break a ten into the ones place so you can then subtract the second number from the ones place.

Solve the subtraction problem using regrouping.
HintsStart by regrouping a ten and moving it into the ones place.
Subtract the 9 from the ones place.
Count the remaining tens and ones.
Solution48  9 = 39
After regrouping, you can subtract the 9 from the ones and you are left with 9 ones and 3 tens. This makes the number 39.

Find the solution to the subtraction problem using regrouping.
HintsYou need to regroup in order to solve the problem.
Subtract five from the ones place and two from the tens place.
Count the remaining tens rods and ones cubes to find the answer.
Solution63  25 = 38
When you regroup a ten into the ones place you can then subtract 5 from the ones place and 2 from the tens place. You are left with 38.

Find the solution to the subtraction problems using regrouping.
HintsIf there are not enough ones to subtract the second number, regroup a tens rod into the ones place.
Use place value blocks to solve the problems. You can draw them on a piece of paper using lines and dots.
To solve 53  27, start by making a place value chart of the number 53 and regrouping a ten into the ones place. You can then subtract 7 ones and 2 tens to find the solution.
To solve 46  8, start by making a place value chart of the number 46 and regrouping a ten into the ones place. You can then the 8 ones to find the solution.
Solution 53  27= 26
 46 8= 38

Which place value chart shows the subtraction problem 63  17?
HintsFind the chart that took away 1 ten and 7 ones.
Count the rods in the tens place and find the chart that had 6 tens to begin with.
The answer should be 46 or 4 tens and 6 ones.
SolutionThis chart represents 63  17.
To begin there were 6 tens and 3 ones. Then, 1 ten was regrouped to 10 ones. Next, 7 ones were taken away. Lastly, 1 ten was taken away. This left us with 46 or 4 tens and 6 ones.

How does regrouping or borrowing help you solve subtraction problems?
HintsRegrouping strategies can be used in both addition and subtraction problems.
You may use regrouping when there are not enough ones to subtract the second number.
SolutionRegrouping moves and breaks apart a ten into the ones place so you can subtract when there are not enough ones to subtract the second number.