Addition and Subtraction of Decimal Fractions: Basic subtraction

To solve this problem, let's follow these steps:

• Step 1: Identify the decimal numbers involved, which are $0.2$ and $0.1$.
• Step 2: Align the decimal points for the numbers vertically and perform the subtraction.

Now, let's proceed with the calculation:

$0.2 - 0.1 = 0.1$ The operation involves subtracting $0.1$ from $0.2$ by aligning the decimal points. Since both numbers have only one decimal place, the decimals align easily, making the subtraction straightforward.

Therefore, the result of the subtraction
$0.2 - 0.1$ is $0.1$.

The correct choice from the given options is Choice 2: $0.1$.

To solve this subtraction problem effectively, we can follow a clear method of subtracting decimal numbers:

• Step 1: Align the decimal numbers vertically by their decimal points.
• Step 2: Write the numbers as:
  $\begin{array}{c} \\ 0.3\\ -0.2\\ \hline \end{array}$
• Step 3: Subtract the digits from right to left. Here, we only have the tenths place to consider.
• Subtract $2$ tenths from $3$ tenths: $3 - 2 = 1$.
• Step 4: The result of the subtraction is $0.1$.

Thus, the result of the subtraction $0.3 - 0.2$ is $0.1$.

To solve this problem, let's perform the following steps:

• Step 1: Write the numbers vertically, aligning the decimal points.
• Step 2: Subtract as you would with whole numbers, starting from the right.
• Step 3: Bring down the decimal point in the same position below the numbers being subtracted.

Now, applying these steps to $0.4 - 0.2$:

• 0.4
• − 0.2

So, the result of $0.4 - 0.2$ is $0.2$.

In this problem, the correct answer from the provided choices is 0.2.

To solve this problem, we will perform the subtraction of two decimal numbers, $0.5$ and $0.3$.

• Align the numbers by their decimal points:

  $0.5$

  $-0.3$

• Since the numbers are already aligned, subtract the tenths digit of $0.3$ from the tenths digit of $0.5$:

  $5 - 3 = 2$

• Place this result in the tenths position of the answer, resulting in

  $0.2$.

The subtraction of $0.3$ from $0.5$ results in

$0.2$.

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

• Step 1: Identify the given information
• Step 2: Perform the subtraction of the decimal numbers

Now, let's work through each step:
Step 1: The problem gives us two decimal numbers, $0.6$ and $0.3$.

Step 2: Align the decimal points and subtract:

$0.6 - 0.3 = 0.3$

Therefore, the solution to the problem is $0.3$.

Let's solve the problem step by step:

• Step 1: Align the numbers by their decimal points:
  $\begin{array}{c} 5.7 \\ - 2.3 \\ \hline \end{array}$
• Step 2: Subtract the digits in the tenths place $7 - 3 = 4$.
• Step 3: Subtract the digits in the units place $5 - 2 = 3$.
• Step 4: Write down the result by combining both differences, making sure to keep the decimal point aligned: $3.4$.

Therefore, the solution to the problem is $3.4$.

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

• Step 1: Align the numbers by their decimal points.
• Step 2: Subtract the subtrahend from the minuend.
• Step 3: Place the decimal point in the answer, directly aligned with the decimal points of the numbers.

Now, let's work through each step:
Step 1: Align the numbers, $6.8$ and $4.2$, by their decimal points:

$6.8$
$-4.2$
$\underline{\phantom{9.9}}$

Step 2: Subtract each digit starting from the rightmost end (tenths place). Subtract $2$ from $8$ to get $6$.
Then subtract $4$ from $6$ to get $2$.

$6.8$
$-4.2$
$\underline{2.6}$

Step 3: Make sure to align the decimal point in the answer with the other decimal points. The result is $2.6$.

Therefore, the solution to the problem is $2.6$.

To solve the subtraction problem $7.9 - 5.3$, we will follow a simple step-by-step process:

• Step 1: Align the decimal points of both numbers. Write $7.9$ directly above $5.3$ such that the decimal points are lined up vertically.

• Step 2: Perform the subtraction from right to left. Start with the tenths place:
  Subtract $3$ (from 5.3) from $9$ (from 7.9) in the tenths place, resulting in $6$.

• Step 3: Move to the units place:
  Subtract $5$ (from 5.3) from $7$ (from 7.9) in the units place, resulting in $2$.

After subtracting, we find the result of the operation $7.9 - 5.3$ is $2.6$.

Therefore, the solution to the problem is$2.6$.

To solve this problem, we'll perform the subtraction $4.1 - 0.1$.

Here are the steps we will follow:

• Step 1: Align the decimal points for both numbers.
• Step 2: Subtract each corresponding digit starting from the rightmost position.
• Step 3: Ensure the decimal point in the result is directly below the decimal points of the numbers being subtracted.

Now, let's work through each step:

Step 1: Align the numbers:
$\begin{array}{r} 4.1 \\ - 0.1 \\ \hline \end{array}$

Step 2: Perform the subtraction digit by digit:

The tenths column calculation:
$1 - 1 = 0$

The units column calculation:
$4 - 0 = 4$

Step 3: Write down the resulting number with the decimal point correctly placed:
$\begin{array}{r} 4.0 \\ \hline 4 \end{array}$

Since the trailing zero in $4.0$ is not necessary, we can write our final answer as $4$.

Therefore, the solution to the problem $4.1 - 0.1$ is $4$.

To solve the problem $15.8 - 3.5$, we will perform decimal subtraction:

• Step 1: Align the decimal places.
  Write the numbers so their decimal points are lined up:
  $\quad 15.8\\ - \, 3.5\\ --------$
• Step 2: Subtract the numbers column by column.
  - Start from the rightmost digit (tenths place), $8 - 5 = 3$. Write $3$ under the line in the tenths place.
  - Move to the next left column (ones place), $5 - 3 = 2$. Write $2$ in the ones place.
  - The digit in the tens place $1$ moves straight down as there is no number to subtract from.
  $\quad 15.8\\ - \, 3.5\\ \underline{--------}\\ \quad 12.3$
• Step 3: Conclude with the final answer.
  The result of $15.8 - 3.5$ is $12.3$.

Therefore, the correct answer is: $12.3$.

To solve the subtraction problem $0.25 - 0.1$, follow these steps:

• Step 1: Align the numbers vertically, ensuring that the decimal points line up:

   0.25
-  0.10
-------

• Step 2: Start subtracting from the rightmost column. The tenths position involves subtracting $5$ from $0$, resulting in $5$.
• Step 3: Move to the next column to the left. Subtract $0.1$ from $0.2$, which gives $0.15$.
• Step 4: The integer part of both numbers is zero, there is nothing to subtract here.

The result of the subtraction is $0.15$.

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

• Step 1: Align the decimal numbers vertically, ensuring that the decimal points are perfectly aligned.
• Step 2: Subtract the numbers starting from the rightmost digit (the tenths place in this case).
• Step 3: Write the result directly below, keeping the decimal point aligned in the final answer.

Now, let's work through each step:

Step 1: We have the numbers $15.6$ and $0.3$. Align these two numbers:

  15.6
-  0.3
------

Step 2: Start the subtraction from the rightmost digit. Subtract $0.3$ from $15.6$. The tenths place: $6 - 3 = 3$.

In the units place, we then directly bring down the 15, as there is no need to subtract anything further.

  15.6
-  0.3
------
  15.3

Step 3: Ensure the result is aligned with a decimal point directly below the original decimal points: the result is $15.3$.

Therefore, the solution to the problem is $15.3$.

To solve the problem of $0.98 - 0.36$, we will perform the following steps, ensuring clarity in how decimal subtraction operates:

• Step 1: Align the numbers by their decimal points:
     0.98
  -  0.36
       ------

• Step 2: Subtract from the rightmost column (hundredths place):
  We have 8 minus 6 in the hundredths place, which gives us 2.

• Step 3: Move to the tenths place:
  In the tenths place, we subtract 3 from 9, which gives us 6.

• Step 4: Since there is no borrowing across the decimal, move to the units place. Nothing to subtract from left of the decimals, 0 remains unaffected.
      0.98
  -  0.36
      ------
      0.62

Therefore, the final result of the subtraction $0.98 - 0.36$ is $0.62$.

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

• Align the decimal numbers vertically by placing the decimal points in the same column.
• Subtract each digit from right to left, ensuring to borrow from the next column if necessary.

Let's apply these steps to the problem:

1. Write the numbers in a vertical format:
    101.23
- 100.10
---------

2. Start subtracting from the rightmost column.
- In the hundredths place, subtract $3 - 0$, which equals $3$.
- Move to the tenths place: subtract $2 - 1$, which equals $1$.
- Move to the ones place: $1 - 0$ equals $1$.
- Finally, in the tens place, $0 - 0$ equals $0$, and in the hundreds place, $1 - 1$ equals $0$.

3. Combine the digits we calculated by restoring the decimal point placement to get the result:
    1.13

Therefore, the solution to the problem is $1.13$.

To solve this problem, we will subtract $22.1$ from $56.2$ using the subtraction of decimal fractions method:

Step-by-step solution:

• Step 1: Align the numbers by the decimal point: $\begin{array}{c} \quad ~~~56.2 \\ - \quad 22.1 \\ \hline \end{array}$

• Step 2: Subtract the digits in each column, starting from the right (tenths place): - First, subtract the tenths: $2 - 1 = 1$. - Then, subtract the units: $6 - 2 = 4$. - Finally, subtract the tens: $5 - 2 = 3$.

This gives us the result of $34.1$ after performing the subtraction.

Thus, the solution to the problem $56.2 - 22.1$ is $34.1$.

To solve the problem of finding $47.5 - 3.5$, we will follow these steps:

• Step 1: Write the numbers vertically, aligning them by the decimal point.
• Step 2: Subtract each digit starting from the right (tenths place) and moving left, borrowing where necessary.

Let's perform these steps:

Step 1: Write the numbers aligned by the decimal point:
  $47.5$
-   $3.5$
————

Step 2: Subtract the digits starting from the tenths place:
- Tenths place: $5 - 5 = 0$
- Units place: $7 - 3 = 4$
- Tens place: $4 - 0 = 4$
This results in $44.0$. Since decimal points don't alter when .0 is at the end, $44.0$ is equal to $44$.

Therefore, the solution to the problem is $44$.