Decimal Point Position Analysis in Vertical Subtraction

Question

Determine whether the exercise is correctly written or not.
The position of the decimal point corresponds.

38.15-122.3

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Ensure the decimal numbers are aligned correctly according to their decimal points.

  • Perform the arithmetic operation to verify logical correctness.

Let's analyze the given numbers:

  • The first number is 38.1538.15.

  • The second number is 122.3122.3. We can express this as 122.30122.30 to simplify alignment.

Align the numbers vertically based on their decimal points:

38.15 \quad 38.15
122.30 -122.30

Notice the decimal points are aligned. Now, perform the subtraction:

Start from the rightmost column:

  • (50=5) (5 - 0 = 5)

  • (13=Borrow 10, becomes 113=8) (1 - 3 = \text{Borrow } 10, \text{ becomes } 11 - 3 = 8)

Move to the next left column (tens column):

  • (borrowed 18 becomes 7) (\text{borrowed } 1 \rightarrow 8 \text{ becomes } 7)

  • (72=5) (7 - 2 = 5)

  • (32=1) (3 - 2 = 1)

  • (The result is negative because 38.15 is less than 122.30) (\text{The result is negative because 38.15 is less than 122.30})

Result of the subtraction is 84.15 -84.15 .

Since the exercise primarily asks if the decimal points are aligned correctly, and they indeed align correctly, we conclude:

The exercise is written correctly with respect to decimal alignment.

Therefore, the solution to the problem is True.

Answer

True