Grade 3 addition worksheeets - DewWool - Free Printable

Problem Description:

The task involves solving a basic addition problem: 5497 + 287. This is part of a math worksheet for Grade 3 students, focusing on multi-digit addition.

---

Solution:

To solve 5497 + 287, we will perform the addition step by step, starting from the rightmost digit (units place) and moving to the left.

#### Step 1: Align the numbers by place value
Write the numbers one below the other, aligning them by their place values (units, tens, hundreds, thousands):

```
5497
+ 287
------
```

#### Step 2: Add the digits in the units place
- Units place: \( 7 + 7 = 14 \)
- Write down 4 in the units place.
- Carry over 1 to the tens place.

```
1
5497
+ 287
------
4
```

#### Step 3: Add the digits in the tens place
- Tens place: \( 9 + 8 + 1 \) (including the carry-over from the units place)
- \( 9 + 8 = 17 \)
- \( 17 + 1 = 18 \)
- Write down 8 in the tens place.
- Carry over 1 to the hundreds place.

```
1 1
5497
+ 287
------
84
```

#### Step 4: Add the digits in the hundreds place
- Hundreds place: \( 4 + 2 + 1 \) (including the carry-over from the tens place)
- \( 4 + 2 = 6 \)
- \( 6 + 1 = 7 \)
- Write down 7 in the hundreds place.

```
1
5497
+ 287
------
784
```

#### Step 5: Add the digits in the thousands place
- Thousands place: \( 5 + 0 \) (no digit in the thousands place for 287)
- \( 5 + 0 = 5 \)
- Write down 5 in the thousands place.

```
5497
+ 287
------
5784
```

---

Final Answer:

The sum of 5497 + 287 is:

\[
\boxed{5784}
\]

---

Explanation:

This method ensures that each place value is added correctly, with proper handling of carry-overs. It is a systematic approach that helps avoid mistakes and is suitable for grade school students learning multi-digit addition.