Using Place Value to Subtract Two Digit Numbers (No Regrouping)
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Basics on the topic Using Place Value to Subtract Two Digit Numbers (No Regrouping)
Place Value Strategy Subtraction
What is subtraction with place value blocks? This is where we use place value blocks to represent a number, for example using hundreds, tens or ones blocks.
How to Solve Subtraction Using Place Value Strategy
How can you use subtraction with place value chart? There are many tools to solve subtraction equations, and one of them is using place value! Subtraction using base 10 is a helpful strategy to represent the numbers we are working with.
Place value definition: Place value is when we represent each digit by its value based on where it is in a number.
You can do subtraction using tens and ones. When you do subtraction with place value blocks you represent the numbers using tens rods and blocks.
| Step # | What to do |
|---|---|
| 1 | Represent the larger number in the equation using place value blocks |
| 2 | Cross out the amount of the second number in the equation |
| 3 | Count how many tens and ones are left over, that is the answer! |
Step one: Represent the larger number in the equation using place value blocks
Step two: Cross out the amount of the second number in the equation
Step three: Count how many tens and ones are left over, that is the answer!
2 Digit Subtraction with Place Value Blocks – Summary
When using subtraction with place value blocks no regrouping, remember;
Represent the larger number with place value blocks
Cross out the amount of the second number in the equation
Count how many tens and ones are left over to find the answer!
Want to learn more? Take a look after the video for subtraction with place value blocks worksheets as well as a subtraction using base 10 worksheet and interactive exercises.
Transcript Using Place Value to Subtract Two Digit Numbers (No Regrouping)
"Man oh man, this ice cream is good!" "But it's so tiring making it every time." "If only there were some kind of machine, wait a second!" Mr. Squeaks and Imani are building an ice cream machine! But, Mr. Squeaks ordered too many parts! He needs to subtract from them to find out how many parts he will have left over. We can learn about "using place value to subtract (no regrouping)" to help! Just like there are many strategies and tools to add, there are also many for subtraction! In this video we will use place value to help solve subtraction equations. Place value is when we represent each digit by its value based on where it is in a number. For example, the number fifty-six is represented by five tens and six ones. Let's see what parts Mr. Squeaks ordered first! He ordered twenty-six screws but only needs twelve! We can use place value to help him find out how many will be left over. When using place value to subtract, always start by representing the larger number with base ten blocks. We can represent twenty-six with two tens and six ones. Next, cross out the amount of the second number in the equation. We need to cross out twelve, which is one ten and two ones. Then, count how many tens and ones are left over. That's your answer! There is one ten and four ones, which means that twenty-six minus twelve equals fourteen. Let's see what else Mr. Squeaks ordered! If he ordered thirty-eight bolts, but only needs twenty-one, how many will be left over? How can we use place value to help solve this subtraction equation? Start by representing the larger number with place value. Thirty-eight can be represented as three tens and eight ones. Next, cross out the amount of the second number. We need to cross out twenty-one, or two tens and one one. Finally, count how many tens and ones are left, and that's the answer! There is one ten and seven ones, so thirty-eight minus twenty-one equals seventeen! Mr. Squeaks ordered forty-seven mini-spoons when he meant to order thirty-two. How many will be left over? Remember to start by representing the largest number with place value tens and ones. Forty-seven can be represented with four tens and seven ones. Next, cross out the amount of the second number. We need to cross out thirty-two, or three tens and two ones. Then, count how many tens and ones are left over. There is one ten and five ones left over, so, forty-seven minus thirty-two equals fifteen! Before we see if they got their machine working, let's review. Today we learned about using place value to subtract. When subtracting with place value remember, always start by representing the larger number with place value. Next, cross out the amount of the second number. Then, count how many tens and ones are left over. The amount of tens and ones left over is the answer! Now, let's see about that ice cream! "Who knew that with just a bit of hard work that I could have the most delicious ice cream without even making it!" "This is the life!"
Using Place Value to Subtract Two Digit Numbers (No Regrouping) exercise
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Which place value chart is set up correctly?
HintsRemember, when using place value to subtract always represent the larger number with base ten blocks.
This is an example of a place value chart that is set up ready for a subtraction.
SolutionThe place value chart in the image above correctly shows how we would solve 38 - 22 = ?
- This is because the larger number, 38 is correctly split into tens and ones.
- Since there is a 3 in the tens place, there needs to be 3 blue ten rods.
- Since there is an 8 in the ones place, there needs to be 8 green one blocks.
- From here, we would cross off 2 blue tens and 2 green ones to get the solution.
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What are the steps for solving a subtraction problem?
HintsAfter you have written the subtraction, represent the larger number using base ten blocks.
After showing the larger number in the chart, cross off the smaller number.
Once you have crossed off the tens and ones, count how much is left and write the answer.
SolutionWhen you are subtracting, use the following steps:
- Represent the larger number using base ten blocks. For this problem, the larger number is 48 so we put it in the chart.
- Next, cross out the number that is left. In this case, that is 37. So cross out 3 tens and 7 ones.
- Look how many tens and ones are left.
- There is one ten and one one left, which makes the answer 11.
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Solve the equation.
HintsRemember, we represent the larger number with place value blocks like we see in the image here.
Think about place value. How many tens and ones do you need to take away?
SolutionThere will be 31 ice creams left over.
As shown in the image, start by representing the number 45 on the place value chart. There are 4 tens and 5 ones. We then have to take away 14. So we cross out one ten and four ones, which leaves 31.
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Representing a subtraction problem.
HintsThe larger number is represented by the base ten blocks.
The number to be subtracted should be crossed off, first the tens and then the ones.
Count the base ten remaining to find the answer.
SolutionThe image above is the first matching pair. We are going to use it as an example to go through the steps of using place value to solve subtraction problems.
Here are the steps:
- Represent the larger number using base ten blocks. In the equation 76 - 24, 76 is larger so we represent it in the chart using 7 tens and 6 ones.
- Next, we cross out the amount of the second number. The second number is 24. There are 2 tens so we cross out 2 tens blocks. There are 4 ones so we cross out 4 ones cubes.
- Count the blocks that are left. There are 5 tens and 2 ones left.
- Put what is left together to get the answer. The answer is 52.
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Using base ten blocks to subtract.
HintsFirst, check to make sure the number represented in the chart matches how many ice cream cones they started with.
When we subtract, we are taking something away.
How many tens should you cross out? How many ones?
SolutionMr. Squeaks and Imani started with 68 ice cream cones, so we would need to find the place value chart that accurately represents this number. That would be the chart that has 6 tens and 8 ones.
To solve, you would cross out 3 tens and 6 ones. That leaves 3 tens and 2 ones which is the number 32.
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What is missing from the place value charts?
HintsCheck each part of the chart. Are the correct number of tens and ones shown?
Always represent the larger number with base ten blocks first.
SolutionThe images above show the last two problems as examples of how to solve. Here are the solutions:
- For the equation, 58 - 35 = ?, there should be 5 tens on the place value chart.
- For the equation 27 - 15 = ?, there are 4 ones cubes missing from the place value chart.
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Using Place Value to Subtract Two Digit Numbers (No Regrouping)—Let's Practise
