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Use expanded form to add 28 and 41, showing 20 + 8 + 40 + 1 = 60 + 9 = 69.

A math problem showing how to add 28 and 41 using expanded form, resulting in 69.

A math problem showing how to add 28 and 41 using expanded form, resulting in 69.

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Show Answer Key & Explanations Step-by-step solution for: Adding Two 2-Digit Numbers Using Expanded Form PowerPoint Lesson
The problem asks us to use expanded form to add the numbers 28 and 41, and find their sum. Let's go through the solution step by step, explaining each part clearly.

---

🔢 Step 1: Understand Expanded Form



Expanded form means breaking down a number into its place values — tens and ones.

- 28 = 20 (tens) + 8 (ones)
- 41 = 40 (tens) + 1 (one)

So we rewrite the addition like this:

```
28
+ 41
-----
```

becomes:

```
20 + 8
+ 40 + 1
--------
```

---

🔢 Step 2: Add the Tens and Ones Separately



Now, group and add the tens and ones separately:

- Tens: 20 + 40 = 60
- Ones: 8 + 1 = 9

Now combine them:

```
60 + 9 = 69
```

---

Final Answer:


$$
\boxed{69}
$$

---

📌 Explanation Summary:



We used expanded form to break apart each number into tens and ones, added the tens together and the ones together, then combined the results. This method helps build number sense and understanding of place value.

So, 28 + 41 = 69 using expanded form.

> ✔️ Problem Solved!
Parent Tip: Review the logic above to help your child master the concept of two digit numbers in expanded form in math.
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