Using Place Value to Subtract Two Digit Numbers (No Regrouping)

Using Place Value to Subtract Two Digit Numbers (No Regrouping) exercise

• Which place value chart is set up correctly?

  Hints

  Remember when using place value to subtract, always represent the larger number with base ten blocks.

  This is an example of a place value chart.

  Solution

  The place place in the image above correctly shows how we would solve 38 - 22 = ?

  • This is because the larger number, 38 is correctly split into tens add ones.
  • Since there is a 3 in the tens place, there needs to be 3 blue base ten blocks.
  • 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.

• What are the steps for solving a subtraction problem?

  Hints

  A place value chart needs to be created before you can begin to subtract.

  Represent the larger number in the chart.

  After showing the larger number in the chart, cross off the smaller number.

  Solution

  When you are subtracting, use the following steps:

  1. Represent the larger number using place value blocks. For this problem, the larger number is 48 so we put it in the chart.
  2. Next, cross out the number that is left. In this case, that is 37. So cross out 3 tens and 7 ones.
  3. Determine how many tens and ones are left.
  4. There is one ten and one one left which makes the answer 11.

• Solve the equation.

  Hints

  Remember, 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?

  Solution

  Mr. Squeaks and Imani will have 31 ice cream cones leftover.

  As you can see in the image, we 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 you cross out one ten and four ones. This leaves you with 31.

• Find the correct subtraction problem.

  Hints

  The larger number is represent by the place value blocks.

  Cross out the amount of the second number.

  Count how many place value blocks are left to get your answer.

  Solution

  The 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:

  1. Represent the larger number using place value blocks. In the equation 76-24, 76 is larger so we represent it in the chart by drawing 7 tens blocks and 6 ones cubes.
  2. 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 cubes so we cross out 4 ones cubes.
  3. Count the blocks that are left. There are 5 tens and 2 ones left.
  4. Put what is left together to get the answer. The answer is 52.

• Choose the correct place value chart.

  Hints

  First, 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?

  Solution

  Mr. 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.

• What's missing from the place value charts?

  Hints

  Check each part of the chart. Are the correct number of tens and ones shown?

  Always represent the larger number with base ten blocks first.

  Solution

  The 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.

  For the first two problems, you needed to find the number you were taking away or subtracting.