How did the student solve the problem 33 - 7 according to the conversation with the teacher?

How did the student solve the problem 33 - 7 according to the conversation with the teacher?

• A. By using direct subtraction.
• B. By decomposing number into tens and ones.
• C. By estimating the result.
• D. By visualizing the numbers using base-10 blocks.

Answer: (B)

The choice of decomposing the number into tens and ones indicates that the student approached the subtraction problem in a way that makes it easier to manage smaller components of the numbers involved. In the case of 33 - 7, the student likely broke down the number 33 into its tens and ones: 30 (three tens) and 3 (three ones). From there, the student might have taken 7 away in stages, first by removing 3 from the 3 ones, leaving 0, and then subtracting the remaining 4 from the 30 (which could be thought of as moving to 29, or simply considering that 30 minus 4 equals 26). This method simplifies the arithmetic by enabling the student to work with smaller, more manageable numbers rather than performing the subtraction all at once. This approach not only reinforces the understanding of place value but also makes the subtraction process more concrete, especially for younger students still developing their numerical skills. Using this method can help ensure that students grasp how numbers are structured and how they can manipulate them effectively in calculations.

The choice of decomposing the number into tens and ones indicates that the student approached the subtraction problem in a way that makes it easier to manage smaller components of the numbers involved. In the case of 33 - 7, the student likely broke down the number 33 into its tens and ones: 30 (three tens) and 3 (three ones).

From there, the student might have taken 7 away in stages, first by removing 3 from the 3 ones, leaving 0, and then subtracting the remaining 4 from the 30 (which could be thought of as moving to 29, or simply considering that 30 minus 4 equals 26). This method simplifies the arithmetic by enabling the student to work with smaller, more manageable numbers rather than performing the subtraction all at once.

This approach not only reinforces the understanding of place value but also makes the subtraction process more concrete, especially for younger students still developing their numerical skills. Using this method can help ensure that students grasp how numbers are structured and how they can manipulate them effectively in calculations.