Addition: Select the equivelant expressions

To solve the problem $26 + 9$, we will simplify the addition by breaking down the number 9 into two smaller numbers. Here's how we can do it step-by-step:

• Step 1: Break down the number 9. We can express 9 as $4 + 5$.

• Step 2: Add 4 to 26. Starting with 26, add 4: $26 + 4 = 30$.

• Step 3: Add the remaining 5 to the result of step 2. Now, add 5 to 30: $30 + 5 = 35$.

So, the sum of 26 and 9 is 35, which can be expressed as the equivalent expression $26 + 4 + 5$.

Therefore, according to the given choices, the correct expression equivalent to $26 + 9$ is $26 + 4 + 5$.

To solve this problem, we will follow these steps:

• Step 1: Consider the original addition problem $19 + 8$.
• Step 2: Break down the number 8 into $1 + 7$ for simpler addition.
• Step 3: First, add 1 to 19. This gives $19 + 1 = 20$.
• Step 4: Next, add 7 to 20. This gives $20 + 7 = 27$.
• Step 5: Verify the solution aligns with the given correct answer format.

Following these steps, $19 + 8$ can be rewritten and solved as $19 + 1 + 7 = 27$.

Therefore, the equivalent expression and solution to this problem is $19 + 1 + 7$.

To solve $15 + 7$, we can simplify the calculation by using a breakdown approach. Let's follow the steps:

• First, recognize that $7$ can be split into $5 + 2$.
• Next, calculate $15 + 5$, which equals $20$.
• Then, add the remaining $2$ to the sum $20$.
• This gives us a final answer of $22$.

The correct expression that represents this process is $15+5+2$, which simplifies to $22$.

The given choices allow us to express the original problem differently. The choice that correctly represents our breakdown is:

$15+5+2$

To solve the problem of finding the equivalent expression for $89 + 8$, we can break down the number 8 into components that simplify the addition process. By breaking it down as $8 = 1 + 7$, we can rephrase the addition:

• Step 1: Break down the number 8 as $8 = 1 + 7$.
• Step 2: Add 1 to 89, which gives us 90.
• Step 3: Then add 7 to 90, yielding 97.

Thus, the breakdown of $89 + 8$ can be written as $89 + 1 + 7$, which is equivalent to the original addition.

Now, examining the answer choices:

• Choice 1 ($33 + 2 + 5$) does not add to 97, it adds to 40.
• Choice 2 ($89 + 1 + 6$) results in 96, which is incorrect.
• Choice 3 ($89 + 2 + 7$) results in 98, which is incorrect.
• Choice 4 ($89 + 1 + 7$) is the correct breakdown, resulting in 97.

Therefore, the correct choice is Choice 4: $89 + 1 + 7$.

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

• Step 1: Break down the number 5 into smaller components to simplify the addition. One convenient way is to write $5 = 3 + 2$.
• Step 2: Add these components sequentially to 67. Start with $67 + 3$ and then add the remaining 2:

Breaking down the addition as described:

1. $67 + 3 = 70$

2. $70 + 2 = 72$

Thus, calculating step by step confirms:

$67 + 5 = 67 + 3 + 2 = 72$

Therefore, the expression equivalent to $67 + 5$ as broken into two components is $67 + 3 + 2$.

Analyzing the available choices, the correct equivalent is given by choice 3: $67 + 3 + 2$.

To solve this problem, we can use the technique of breaking down numbers for easier mental addition.

Step 1: We start with the expression $54 + 8$.
Step 2: We can decompose the number 8 into two numbers that are easier to add in parts. A simple break down is $8 = 6 + 2$.
Step 3: We substitute the breakdown into the original expression:

• First, add 54 and 6 to get 60.
• Next, add 2 to 60 to get 62.

Thus, the expression $54 + 6 + 2$ is equivalent to $54 + 8$, giving us the correct answer.

Therefore, the correct equivalent expression is $54 + 6 + 2$.

To find the sum of 52 and 9, we'll perform simple addition:

• Step 1: Consider the expression $52 + 9$.

• Step 2: Break down the number 9 into simpler parts. One natural way is $9 = 8 + 1$.

• Step 3: Now express the addition as $52 + 9 = 52 + (8 + 1)$.

• Step 4: Compute the sum: First add $52 + 8 = 60$, and then $60 + 1 = 61$.

• Step 5: The expression matching $52 + 9$ is $52 + 8 + 1$.

Now, looking at the available choices, the choice that matches $52 + 9$ is $\text{Choice 4: } 52 + 8 + 1$

Therefore, the correct representation of the expression $52 + 9$ is $\text{Choice 4: }52 + 8 + 1$

To solve this problem, we need to determine which expression is equivalent to $48+5$. The sum $48+5$ equals $53$. We will rewrite $5$ as the sum of two numbers that add to 5, matching one of the provided choices.

Let's decompose $5$ in potential ways: $5 = 2 + 3$. Now let's rewrite the equation using this decomposition:

$48 + 5 = 48 + (2 + 3) = 48 + 2 + 3$

This step has shown that $48+2+3$ equals $53$, the same result as $48 + 5$.

Therefore, the expression equivalent to $48+5$ is $48+2+3$, corresponding to choice 2.

To solve the problem $36 + 7$, follow these steps:

• Step 1: Add $36$ and $7$. This results in $43$.
• Step 2: Decompose $7$ into two parts to match the given choices: $4 + 3$.
• Step 3: Rewrite the problem as $36 + 4 + 3$, which simplifies to the same total, $43$.

Therefore, the equivalent expression for $36 + 7$ is $36 + 4 + 3$, which matches choice 4.

To solve the expression $33 + 9$ by breaking down $9$, follow these steps:

• Step 1: Decompose $9$ into $7 + 2$.
• Step 2: First, add $33 + 7$. This gives you $40$.
• Step 3: Next, add the remaining part of $9$, which is $2$, to $40$.
• Step 4: The result of $40 + 2$ is $42$.

Thus, the detailed decomposition to match the answer format is: $33 + 7 + 2$.