Addition and Subtraction of Decimal Fractions: Complete the missing numbers

To solve the equation $0.35 - \_ = 0.10$, we need to determine the value that, when subtracted from $0.35$, results in $0.10$.

• Step 1: Identify the given equation: $0.35 - \_ = 0.10$.
• Step 2: Rearrange the equation to find the missing number: $\_ = 0.35 - 0.10$.
• Step 3: Perform the subtraction:
  - $0.35 - 0.10 = 0.25$.

Therefore, the value that completes the equation is $0.25$.

We begin by analyzing the equation $\_ - 0.54 = 1.5$. To find the number that fits in the blank, we follow these steps:

• Step 1: Recognize that we need to solve for the blank such that when 0.54 is subtracted, the result is 1.5.
• Step 2: Rearrange the equation to solve for the missing number. Thus, we have: $\_ = 1.5 + 0.54$
• Step 3: Perform the addition to find: $1.5 + 0.54 = 2.04$

Therefore, the solution to the problem is $2.04$.

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

• Subtract the given number from 0.31 to find the missing portion.
• Ensure accurate decimal subtraction.

Let's perform the calculation:
The given equation is $0.31 - x = 0.2$.
We want to find $x$. Rearranging gives us $x = 0.31 - 0.2$.
Perform the subtraction:

$0.31 - 0.2 = 0.11$

The correct answer is $x = 0.11$.

Therefore, the solution to the problem is $0.11$.

To solve the problem, we need to determine the value of the missing number that completes the equation $0.31 + \_ = 0.45$.

We'll follow these steps:

• Subtract $0.31$ from $0.45$ to find the missing number.

Now, let's work through the solution:

Step 1: Perform the subtraction:

$0.45 - 0.31 = 0.14$

Therefore, the missing number is $0.14$. This is the value that, when added to $0.31$, results in $0.45$.

The correct choice from the given options is $0.14$.

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

• Step 1: Identify the given information
• Step 2: Use subtraction to find the missing value
• Step 3: Verify the correct answer among the choice options

Now, let's work through each step:
Step 1: The problem gives us $0.4 + \_\_\_ = 0.51$. We need to find the missing number.
Step 2: To find the missing number, subtract $0.4$ from $0.51$:
$0.51 - 0.4 = 0.11$

Step 3: Verify this result matches one of the provided answer choices.
The missing number is $0.11$, which corresponds to choice $0.11$.

Therefore, the solution to the problem is $0.11$.

To solve the equation $? - 0.1 = 0.6$, follow these steps:

• Step 1: The equation given is $? - 0.1 = 0.6$.
• Step 2: To isolate the variable $?$, add $0.1$ to both sides of the equation.

This gives:

$? = 0.6 + 0.1$

• Step 3: Perform the addition on the right side.

$0.6 + 0.1 = 0.7$

Therefore, the missing value in the equation is $0.7$.

This corresponds to choice 4, which is 0.7.

To solve this problem, we will use basic subtraction:

• Step 1: Restate the given equation: $0.2 + ? = 0.6$.
• Step 2: To find the missing number, subtract the known addend $0.2$ from the total $0.6$.
• Step 3: Perform the subtraction: $0.6 - 0.2 = 0.4$.

After performing the calculation, we find that the missing value is $0.4$. Therefore, the equation $0.2 + 0.4 = 0.6$ is correct.

Therefore, the solution to the problem is $0.4$.

To solve this problem, we'll find the missing value using simple subtraction as follows:

• Step 1: Identify the equation given: $0.4 - ? = 0.2$.
• Step 2: Rearrange the equation to solve for ?:
  $? = 0.4 - 0.2$
• Step 3: Perform the subtraction:
  $0.4 - 0.2 = 0.2$
• The missing value that satisfies the equation is $0.2$.

From the choices provided, the correct answer is choice 2: 0.2.

To solve the problem of finding the missing value $?$ in the equation $0.4 + ? = 0.9$, we'll perform the following steps:

• Step 1: Identify what is given and what is missing in the equation.
• Step 2: Use subtraction to isolate the missing value.
• Step 3: Execute the subtraction and find the missing value.

Now, let's proceed through these steps in detail:

Step 1: The equation given is $0.4 + ? = 0.9$. Here, the goal is to identify the number, represented by $?$, which when added to $0.4$ equals $0.9$.

Step 2: To find $?$, we need to isolate it. We can do this by subtracting $0.4$ from both sides of the equation:

$? = 0.9 - 0.4$

Step 3: Calculate the result of the subtraction:

$? = 0.9 - 0.4 = 0.5$

Therefore, the missing value $?$ that satisfies the equation $0.4 + ? = 0.9$ is $0.5$.

Let's confirm this with the multiple choice provided: the correct answer is choice :

0.5

To solve the problem $0.5 - ? = 0.2$, let's proceed with the following steps:

• Step 1: Begin with the equation: $0.5 - ? = 0.2$.
• Step 2: To isolate '?', add 0.2 to both sides of the equation. This gives us:

$0.5 - ? + 0.2 = 0.2 + 0.2$.

• Step 3: Simplify the equation:

$0.5 = ? + 0.2$.

• Step 4: Isolate '?' by subtracting 0.2 from 0.5:

$? = 0.5 - 0.2$.

• Step 5: Perform the subtraction:

$? = 0.3$.

Therefore, the solution to the problem is $\boxed{0.3}$. This matches with choice 3 of the given options.

To solve the equation $? + 0.5 = 0.7$, we need to isolate '?'.

• Step 1: Begin with the equation $? + 0.5 = 0.7$.
• Step 2: To find '?', subtract 0.5 from both sides of the equation.
• Step 3: Calculate $0.7 - 0.5$.

Performing the subtraction:
$0.7 - 0.5 = 0.2$

Therefore, the value of '?' that makes the equation true is $0.2$.

This corresponds to choice 2 in the options provided.

Let's solve the equation $? - 0.8 = 0.1$ by isolating the unknown variable:

Step 1: Write the equation:

$? - 0.8 = 0.1$

Step 2: To find the value of '?', add $0.8$ to both sides of the equation as follows:

$? - 0.8 + 0.8 = 0.1 + 0.8$

Step 3: Simplify both sides:

The left side simplifies to $?$ because $-0.8 + 0.8 = 0$.

The right side becomes $0.1 + 0.8 = 0.9$.

So, $? = 0.9$.

Therefore, the missing value is $0.9$.

To solve the problem $1.2 - ? = 1.1$, we need to identify the unknown value represented by the question mark.

Let's go through the solution step-by-step:

• Step 1: Rewrite the equation in terms of subtraction: $1.2 - x = 1.1$, where $x$ is the missing value.

• Step 2: Rearrange the equation to solve for $x$: $x = 1.2 - 1.1$.

• Step 3: Perform the subtraction: $x = 0.1$.

• Step 4: Check the solution by substituting back into the original equation: $1.2 - 0.1 = 1.1$, which is correct.

Therefore, the solution to the problem is that the missing value is $0.1$.

Given the choices, the correct option is: $0.1$

To solve this problem, we need to find the value of the missing term in the equation $? + 1.2 = 2.2$.

Let's proceed with the solution step by step:

• Step 1: Write down the given equation: $? + 1.2 = 2.2$.
• Step 2: To isolate the unknown term (?), subtract 1.2 from both sides of the equation. This gives us:
  $? = 2.2 - 1.2$
• Step 3: Perform the subtraction: $2.2 - 1.2 = 1.0$.
• Step 4: Thus, the missing value is $1.0$ or simply $1$.

Therefore, the value of the missing number is $\boxed{1}$.

Given the multiple-choice options, the correct answer is option 3: 1.

To solve the problem, we need to find the unknown number that when added to 1.3 results in 1.4. This is written mathematically as $1.3 + ? = 1.4$.

We'll solve this by following these steps:

• Step 1: Understand the operation needed. We have a simple addition equation, where we are trying to find the unknown addend.
• Step 2: Rearrange the equation to solve for the unknown number. According to properties of numbers, if $1.3 + ? = 1.4$, then the missing number can be found by subtracting 1.3 from 1.4.
• Step 3: Perform the subtraction: $1.4 - 1.3 = 0.1$.

After performing the calculation, we find that the unknown number is $0.1$.

Therefore, the solution to the problem is $0.1$.

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

• Step 1: Identify the given equation.
• Step 2: Rearrange the equation to solve for the unknown.
• Step 3: Perform the arithmetic calculation.

Now, let's work through each step:
Step 1: The given equation is $? - 2.2 = 2.3$.
Step 2: We want to isolate the unknown (?), so we add $2.2$ to both sides of the equation. This gives us:

$? = 2.3 + 2.2$

Step 3: Perform the calculation:

$2.3 + 2.2 = 4.5$

Therefore, the solution to the problem is $4.5$.

Let's solve the problem step by step:

• Step 1: Identify the equation.
  The equation is $? + 2.4 = 4.5$.
• Step 2: Isolate the missing value.
  To find the missing number, subtract 2.4 from both sides.
• Step 3: Perform the subtraction.
  The calculation is $4.5 - 2.4$.
• Step 4: Calculate the difference.
  Start with the tenths place: $5 - 4 = 1$ in the tenths place.
  Subtract the whole numbers: $4 - 2 = 2$. Thus, the complete subtraction is $2.1$.

Therefore, the missing value that satisfies the equation $? + 2.4 = 4.5$ is $2.1$.

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

• Step 1: Understand the equation $? + 3.3 = 6.7$.
• Step 2: Rewrite the equation to solve for the missing value as $? = 6.7 - 3.3$.
• Step 3: Perform the subtraction to find the value of ?.

Begin by setting up the equation:
$\, ? + 3.3 = 6.7$
To solve for $?$, we rearrange the equation: $? = 6.7 - 3.3$

Perform the subtraction:
$6.7 - 3.3 = 3.4$

Thus, the missing value is 3.4. Hence, $? = 3.4$.

Therefore, the correct choice from the given options is choice 4: 3.4, which matches our calculated result.

To solve the equation $? - 4.3 = 8.2$, we will isolate the variable $?$.

• Step 1: Add 4.3 to both sides of the equation to eliminate the subtraction from the left-hand side:

$\begin{aligned} ? - 4.3 + 4.3 &= 8.2 + 4.3 \\ ? &= 12.5 \end{aligned}$

Therefore, the solution to the problem is $\boxed{12.5}$.

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

• Step 1: Identify the provided equation and rearrange it to solve for the missing number.
• Step 2: Substitute the known values to isolate the missing variable.
• Step 3: Perform the arithmetic operation to find the result.
• Step 4: Ensure the result matches one of the given choices, confirming its correctness.

Now, let's work through each step:
Step 1: The equation given is $4.5 - ? = 2.1$.
Step 2: Rearrange the equation to isolate the unknown:
We add '?' to both sides and subtract 2.1 from 4.5 to obtain:
$? = 4.5 - 2.1$.
Step 3: Perform the calculation:
$4.5 - 2.1 = 2.4$.
Step 4: Verify the answer by comparing it to the provided choices and checking the answer given:
The correct answer is indeed 2.4, which matches the given correct solution.

Therefore, the solution to the problem is $? = 2.4$.