Verify Decimal Subtraction Setup: 38.15 - 122.3 Alignment Check

Question

Determine whether the exercise is correctly written or not.

The position of the decimal point corresponds.

38.15-122.3

Video Solution

Solution Steps

00:00 Determine if the decimal point position matches?
00:03 We'll use long subtraction to find the position
00:09 In long subtraction, the decimal points must be aligned one above the other
00:14 In our exercise, the points are not aligned one above the other,
00:21 Therefore the decimal point position is incorrect
00:24 And this is the solution to the question

Step-by-Step Solution

To determine whether the exercise is set correctly, we need to align the decimal points of the two numbers involved in the subtraction operation:

1. The given numbers are 38.15 and 122.3.
2. We write them down vertically, aligning by the decimal points:

038.150122.3 \begin{array}{c} \hphantom{0}38.15 \\ - \hphantom{0}122.3 \\ \end{array}

3. Notice that the number 38.15 has two decimal places (hundredths), while 122.3 only has one decimal place (tenths). Therefore, the hundredths place in 122.3 is effectively considered as "0" to match the decimal places of the first number. Upon aligning the decimal points, 38.15 and 122.3 indeed match as:

038.15122.30 \begin{array}{c} \hphantom{0}38.15 \\ - 122.30 \\ \end{array}

4. This check confirms that there is an incorrect statement regarding "The position of the decimal point corresponds," as the numbers are aligned at the decimal points considering all decimal places are consistently represented.

Therefore, the statement "The position of the decimal point corresponds" is Not true.

Answer

Not true