Decimal Addition and Subtraction Practice Problems

The problem requires us to verify if the subtraction exercise of the decimal numbers is written correctly, focusing on the position of the decimal points.

Step-by-step:

• Step 1: Identify the given numbers, $2.10$ and $3.2$.

• Step 2: Align these numbers by their decimal points for proper subtraction.

Upon alignment, the numbers are:

$2.10$
$-3.2$.

To correctly align them for subtraction, we can rewrite $3.2$ as $3.20$ to match the number of decimal places:

$2.10$

$-3.20$

The decimal points are aligned correctly in both numbers, confirming that the exercise is set up accurately regarding the position of the decimal point.

Thus, the answer to the problem is Yes.

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:

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

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:

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

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.

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 effectively assess the problem, we should confirm if the decimal points in the subtraction of two identical numbers, $99.38 - 99.38$, are aligned correctly.

Step 1: The numbers involved in the subtraction are $99.38$ and $99.38$, both having the same number of digits before and after the decimal point.

Step 2: Check the alignment of the decimal points in the subtraction setup. In properly written subtraction involving decimals, the decimal points must align vertically to ensure correct digit placement.

Step 3: The setup displays the numbers:

• $99.38$
• $99.38$

Each digit before and after the decimal is in perfect vertical alignment, confirming correct decimal point alignment.

Conclusion: The exercise is correctly written in terms of decimal alignment.

The correct answer to the problem is True.

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.