A child subtracted two numbers as shown below :

  83
– 27
------
  64

Which one of the following statements gives idea about the child's learning of subtraction?

The correct answer is: The child has misconceptions about place value in the process of subtraction.

Step-by-Step Explanation:

1. Analyze the child's calculation:
The given problem is:
  83
– 27
------
  64

2. Identify the error pattern:
In the ones column, the child has digits 3 and 7. Instead of borrowing 1 ten from the tens place to make it 13 – 7 = 6, the child subtracted the smaller digit from the larger digit regardless of their position (7 – 3 = 4).
In the tens column, the child simply subtracted 8 – 2 = 6 without reducing the 8 by 1 (which should have been done if regrouping/borrowing occurred).

3. Educational Diagnosis:
This specific error shows that the child treats digits in the ones and tens places as independent numbers without considering their place value or the need for regrouping (borrowing). This indicates a fundamental misconception about place value in the subtraction process rather than a simple computational oversight or lack of basic subtraction knowledge.