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Three Digit Subtraction with Regrouping Base Ten Blocks

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Three Digit Subtraction with Regrouping Base Ten Blocks
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Basics on the topic Three Digit Subtraction with Regrouping Base Ten Blocks

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In this Video on 3 Digit Subtraction with Regrouping with Base Ten Blocks

Mr. Squeaks is writing Imani letters from sleep away camp. He’s telling them all about the fun activities like making campfires and water balloon fights, but he’s having trouble filling in the details. In this video, we learn about 3 digit subtraction with regrouping using base ten blocks.

Why use Base Ten Blocks for Three digit Subtraction with Regrouping?

Modeling subtraction with regrouping with base ten blocks helps us see what is happening when we subtract. Rather than just moving digits, like in the standard algorithm, we can build and break apart numbers to see how values change. It is particularly helpful when we are regrouping. We build the first number in blocks to make the subtraction equation easier to regroup, or borrow from.

3 Digit Subtraction with Regrouping Base Ten Example

Let’s solve six hundred seventy-one minus fifty-eight as our 3 digit subtraction equation with regrouping using base ten blocks.

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In a place value chart, represent the first number, six hundred seventy-one, with base ten blocks. The second number, fifty-eight, tells us how many to take away from six hundred seventy-one.

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Starting in the ones column, the second number tells us to take away eight blocks.We can't do that because there is only one block here.

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We need to REGROUP a set of ten from the tens place.There are now eleven blocks in the ones place that we can take eight away from. We are left with three blocks, so write three below. Now move to the tens place.The second number tells us to subtract five tens. Take away five from the six tens which leaves us with one ten. Write the number one below.

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Now move to the hundreds place.There are no hundreds to take away, so write the number six below. Six hundred seventy one minus fifty eight equals six hundred thirteen.

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Summary of Steps: 3 Digit Subtraction with Regrouping Base Ten Blocks

  • First, model the first number with base ten blocks in a place value chart.

  • Next, look at the second number and identify its ones place. Begin taking away from the ones place first and regrouping from the tens place, if needed. Write the answer below.

  • Then, move left to the next place value, repeating the process to solve the equation.

  • If you need to regroup but there is a zero, move left to the next place value until you CAN regroup!

Have you practiced yet? On this website, you can also find 3 digit subtraction with regrouping using base ten blocks worksheets and exercises.

Transcript Three Digit Subtraction with Regrouping Base Ten Blocks

"Dear Imani, I've had so much fun at summer camp!" "We have camp fires every night!" "The wood pile had six hundred seventy one logs, and we've burned fifty eight so far, so there are... erm" "What do I do?!" Let's help Mr. Squeaks by learning "Three Digit Subtraction with Regrouping-Base Ten Blocks.” We can use place value charts and base ten blocks to model subtraction with regrouping. These tools help us see what's happening when we regroup rather than just moving numbers around. We build the first number in blocks to make the subtraction equation easier to regroup, or borrow from. Let's use the campfire equation to practice. In a place value chart, represent the first number, six hundred seventy-one, with base ten blocks. The second number, fifty-eight, tells us how many to take away from six hundred seventy-one. Starting in the ones column, the second number tells us to take away eight blocks. We can't do that because there is only one block here. We need to regroup a set of ten from the tens place. There are now eleven blocks in the ones place that we can take eight away from. We are left with three blocks, so write three below. Now move to the tens place. The second number tells us to subtract five tens. Take away five from the six tens which leaves us with one ten. Write the number one below. Now move to the hundreds place. There are no hundreds to take away, so write the number six below. Six hundred seventy one minus fifty eight equals six hundred thirteen. Mr. Squeaks can write there are six hundred thirteen logs left for the campfires! Next, Mr. Squeaks writes that there were two hundred and three water balloons for a water balloon fight. By the end, one hundred eighty nine were thrown. Let's help calculate how many balloons were left. What is our first step? Use base ten blocks to represent two hundred and three. The second number, one hundred eighty-nine, tells us how many we take away from it. In the ones column, how many blocks will we subtract from three? ...According to the second number, we should subtract nine, but we can't do that because there are only three blocks. What can we do? We can regroup a set of ten from the tens place. But there are zero tens here! What should we do? Instead, we should move to the hundreds to regroup. Regroup one hundreds block from the hundreds and put it in the tens place. Now take a set of ten from here, regrouping it to the ones place. There are now thirteen blocks in the ones place that we can take nine away from. We have four blocks left, so write four below. Then, move to the tens place. The second number tells us to take eight tens away. Eight taken away from nine leaves us with one. Write one below. Now move to the hundreds place. We borrowed from here earlier, so there is only one hundred left. The second number tells us to take one hundred away which makes zero hundreds. Below, leave the hundreds place blank, so... two hundred three minus one hundred eighty nine equals fourteen. Mr. Squeaks writes that there were only fourteen water balloons left in the end! To subtract three digit numbers with regrouping, remember! Model the first number with base ten blocks in a place value chart. Next, look at the second number and identify its place. Begin taking away from the ones place first... and regrouping from the tens place, if needed. Write the answer below. Move left to the next place value, repeating the process to solve the equation. If you need to regroup but there is a zero, move left to the next place value until you can regroup! "That's weird...who uses real wood for a campfire?" "And throwing water!? How dangerous someone will definitely short circuit!"