Addition and Subtraction of Decimal Numbers

To determine if the exercise is correctly written, let's ensure the decimal points are aligned properly in the subtraction problem. We have:

• Top number: $88.100$
• Bottom number: $88.101$

We verify that each digit is aligned according to its place value:

• The units column aligns ($8$ above $8$).
• The tenths, hundredths, and thousandths columns align ($0$ above $1$).
• The decimal points are directly above one another.

Since the digits and decimal points are aligned properly according to the rules of subtracting decimal numbers, we can conclude that the setup of the exercise is correct. Therefore, the assertion that "the position of the decimal point corresponds" is True.

In conclusion, the exercise is correctly written regarding the alignment of the decimal point.

First let's fill in the zeros in the empty spaces as follows:

$21.52\\+03.40\\$Note that the decimal points are written one below the other.

Therefore, the positions of the decimal points correspond and thus the exercise is written in the correct form.

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 $38.15$.

• The second number is $122.3$. We can express this as $122.30$ to simplify alignment.

Align the numbers vertically based on their decimal points:

$\quad 38.15$
$-122.30$

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

Start from the rightmost column:

• $(5 - 0 = 5)$

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

Move to the next left column (tens column):

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

• $(7 - 2 = 5)$

• $(3 - 2 = 1)$

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

Result of the subtraction is $-84.15$.

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.

To determine if the addition of decimals is set up correctly, follow these steps:

• Step 1: Check the alignment of the decimal points in both numbers.
• Step 2: Ensure each corresponding place value (units, tenths, hundredths, etc.) is aligned vertically.
• Step 3: Look at the layout provided:
  $\begin{array}{c} 7.462 \\ +\phantom{.}2.13 \\ \hline \end{array}$

The first number, $7.462$, has three decimal places, whereas the second number, $2.13$, has two decimal places. The decimal point in $2.13$ should be directly below the decimal point in $7.462$. However, it appears that the digits in the tenths and hundredths place of $2.13$ are not properly aligned with $7.462$. Hence, the addition is not aligned correctly as the decimal points are not vertically aligned.

Therefore, the addition layout is incorrect, and the solution to the problem is:

No

To solve this problem, we need to verify if the numbers are properly aligned for subtraction:

• Step 1: Identify the given numbers. We have the numbers 16.234 and 5.35 written in a vertical format.
• Step 2: Check if decimal points are aligned. For proper subtraction of decimal numbers, the decimal points in both numbers should line up vertically.
• Step 3: Align digits relative to their place values. We need to compare the positioning of digits before and after the decimal point to confirm correct alignment.

Now, let's apply these steps:
Step 1: We have the numbers $16.234$ and $5.35$.
Step 2: Inspect the vertical alignment of the decimal points. We notice that $16.234$ has three digits after the decimal, while $5.35$ has only two digits.
Step 3: Evaluate the alignment. The decimal point in $5.35$ is not properly aligned because it does not have the same number of decimal places as $16.234$.

Therefore, the format is not correct for vertical subtraction, as the alignment of decimal points and digits is incorrect. Hence, the correct answer is No.