Addition and Subtraction of Decimal Fractions: Simple addition

To solve this problem, we will follow these steps:

• Step 1: Align the decimal points of the numbers to be added.
• Step 2: Add the numbers directly using their place values.
• Step 3: Write down the sum.

Now, let's perform each step in detail:

Step 1: Align the decimal points of $0.1$ and $0.1$.

Step 2: Add the tenths place values. Since both digits in the tenths place are $1$, we add them together:

$1 + 1 = 2$

Step 3: Write down the sum with the decimal point aligned:

The sum is $0.2$.

Therefore, the solution to the problem is $0.2$.

To solve this problem, we need to add the decimal numbers $0.2$ and $0.1$.

Here are the steps to perform the addition:

• Step 1: Align the numbers by their decimal points:
      $0.2$
  + $0.1$
• Step 2: Start adding from the rightmost digit to the left:
• The tenths column contains 2 tenths (from $0.2$) and 1 tenth (from $0.1$), and adding these gives 3 tenths. There is no carryover since the result is below 10 tenths.
• The single whole number place doesn't have digits to sum aside from the carry, which in this case, is zero.
• Step 3: The sum of $0.2 + 0.1$ is $0.3$.

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

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

• Step 1: Align the decimal points vertically in the numbers to be added.
• Step 2: Add the numbers as if they were whole numbers, placing the decimal correctly in the sum.

Let's perform the addition:

Step 1: Align the numbers $0.4$ and $0.4$: $\begin{array}{c} \phantom{+}0.4 \\ + 0.4 \\ \hline \end{array}$

Step 2: Add $4$ and $4$ in the tenths place, which gives us $8$. The decimal point remains in the same position, resulting in $0.8$.

Therefore, the sum of $0.4 + 0.4$ is $0.8$.

To solve this problem, follow these steps:

• Step 1: Align the numbers vertically by their decimal point. Write $0.5$ and $0.3$ ensuring the decimal points are aligned.
• Step 2: Perform the addition:
        0.5
  +    0.3
  —---------
• Step 3: Add the numbers starting from the right (tenths place):
  - Add $0.5 + 0.3 = 0.8$.

Therefore, the sum of $0.5$ and $0.3$ is $0.8$.

To solve this problem, we'll add the decimal numbers $20.4$ and $10.4$ by aligning the decimal points:

• Step 1: Write the numbers in a column aligning their decimal points:

$\begin{array}{r} 20.4 \\ +10.4 \\ \hline \end{array}$

• Step 2: Add the numbers starting from the right. First, $4 + 4 = 8$.
• Next, add the digits to the left of the decimal point: $0 + 0 = 0$.
• Finally, add the leftmost digits: $2 + 1 = 3$.

Combining these, the result is $30.8$.

Thus, the solution to the problem is $\mathbf{30.8}$.

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

• Step 1: Align the numbers 2.5 and 3.1 by their decimal points.
• Step 2: Add the digits in each column starting from the rightmost digit (the tenths column in this case).

Now, let's work through each step:

Step 1: Align the numbers by decimal points:

$\phantom{00}2.5$
$+3.1$

Step 2: Perform the addition:
- Add the tenths column: $5 + 1 = 6$
- Add the units column: $2 + 3 = 5$

Therefore, by aligning and adding the numbers correctly, the solution to the problem is $5.6$.

To solve the addition problem $4.3 + 6.2$, follow these steps:

• Step 1: Align the numbers by their decimal points as follows:
       $4.3$
  $+\,6.2$
  
• Step 2: Add the digits to the right of the decimal point first:
       $3 + 2 = 5$
• Step 3: Add the digits to the left of the decimal point:
       $4 + 6 = 10$

Now, place the decimal point in the result directly below the other decimal points:

$4.3 + 6.2 = 10.5$

Therefore, the solution to the problem is $10.5$.

To solve this problem, we follow these steps:

• Step 1: Write down the numbers vertically, aligning the decimal points.
• Step 2: Add each column of digits, starting from the rightmost column (the tenths place).
• Step 3: If any column adds to a number equal to or greater than 10, carry over to the next left column.

Let's work through the solution:
Step 1: Align the numbers vertically:
    6.2
+ 2.4
--------
Step 2: Add the digits in the tenths column: $2 + 4 = 6$. Write the 6 in the tenths place below.
Step 3: Add the digits in the ones column: $6 + 2 = 8$. Write the 8 in the ones place below.
Therefore, the sum of $6.2$ and $2.4$ is $8.6$.

Therefore, the solution to the problem is $8.6$, which corresponds to choice 1.

To solve this problem, we will perform the following steps:

• Step 1: Align the decimal numbers so the decimal points are vertically in line. The numbers are $10.1$ and $2.3$.
• Step 2: Add the numbers starting from the rightmost column (i.e., the tenths place), moving to the left.

Let's perform the addition:

$\begin{array}{c} 10.1 \\ + 2.3 \\ \hline \end{array}$

Starting from the right, we add the digits in the tenths place: $1 + 3 = 4$.

Next, add the digits in the units place: $0 + 2 = 2$.

Finally, add the digit in the tens place: $1 + 0 = 1$.

Therefore, the result of adding $10.1 + 2.3$ is:

$12.4$

We can verify that this matches with the given answer choices. The correct choice is:

Option 1: $12.4$

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

• Step 1: Align the decimals of the numbers vertically, so that both $5.1$ and $2.3$ have their decimal points in the same position:

   5.1
+  2.3
---------

• Step 2: Start adding from the rightmost column (the tenths position). Add the tenths: $1 + 3 = 4$.
• Step 3: Move to the left to add the units: $5 + 2 = 7$.

Put these sums together, and we have:

   5.1
+  2.3
---------
   7.4

Therefore, the sum of $5.1$ and $2.3$ is $7.4$. This matches choice $\text{3}$.

Thus, the correct answer is $7.4$.

To solve this problem, let's perform the addition of the two decimal numbers $0.1$ and $0.2$ step-by-step.

Step 1: Align the decimal points of the numbers.

We write the numbers as:

$0.1$

$+0.2$

Here, the decimal points are already aligned.

Step 2: Add the numbers column by column starting from the rightmost side, which is the decimal fraction part.

$0.1$ consists of 1 in the tenths place, and $0.2$ consists of 2 in the tenths place. By adding these:

• $0.1 + 0.2 = 0.3$

Thus, the sum of $0.1$ and $0.2$ is $0.3$.

Looking at the answer choices, the correct choice is:

• Choice 2: $0.3$

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

To solve the decimal addition $0.4 + 0.3$, we will follow these steps:

• Step 1: Line up the numbers by the decimal point.

• Step 2: Add the decimal fractions directly as both numbers have only one digit after the decimal point.

• Step 3: Sum the values and retain the decimal point in the same position for the result.

Let's begin the calculation:

Write the numbers aligning them by the decimal point:

$0.4$
$+0.3$
_______
$0.7$

Adding the two numbers $0.4$ and $0.3$ gives $0.7$.

Therefore, the solution to the problem is $0.7$, which matches choice 1.

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

• Step 1: Align the numbers by their decimal points.

• Step 2: Add the numbers starting from the rightmost digit, moving left.

• Step 3: Handle any carryovers properly.

Now, let's work through each step:

Step 1: Align the numbers:

  10.03
+    5.51

Step 2: Start adding from the rightmost digit (hundredths):
$\begin{array}{c} & 10.03\\ + & \,5.51\\ \hline & 15.54\\ \end{array}$

Step 3: Add the digits from right to left:
- Hundredths place: $3 + 1 = 4$
- Tenths place: $0 + 5 = 5$
- Whole numbers: $0 + 5 = 5$, $1 + 0 = 1$

Thus, the sum of $10.03$ and $5.51$ is $\textbf{15.54}$.

After evaluating the answer choices, the correct answer is choice 3: $\textbf{15.54}$.

To solve the addition problem $11.32 + 10.36$, we follow a straightforward procedure:

• Step 1: Align the Numbers
  Write the numbers one on top of the other, aligning by the decimal point:
  $\begin{array}{c} 11.32 \\ + 10.36 \\ \hline \end{array}$
• Step 2: Add Each Column
  Start adding from the rightmost column and move left to the next columns, carrying over if necessary:
  • Add the hundredths place: $2 + 6 = 8$
  • Add the tenths place: $3 + 3 = 6$
  • Add the units place: $1 + 0 = 1$
  • Add the tens place: $1 + 1 = 2$
• Step 3: Write the Result
  After adding all the columns, write down the result with the decimal point aligned:
  $\begin{array}{c} 21.68 \\ \hline \end{array}$

Therefore, the solution to the problem is $21.68$.

To solve this problem, let's follow these steps to perform decimal addition:

• Step 1: Align the decimal points of numbers $1.3$ and $1.1$.

• Step 2: Add the numbers starting from the right, moving towards the left.

Now, let's perform the calculation:

Align the numbers:
$\begin{aligned} &{1.}3 \\ +&1.1 \\ \hline \end{aligned}$

Step 1: Add the digits in the tenths place: $3 + 1 = 4$.

Step 2: Add the digits in the units place: $1 + 1 = 2$.

Combine these results to find the total sum: $2.4$.

Therefore, the solution to the problem is $2.4$, which corresponds to choice 4.