Draw a place value chart with chips to solve the problem. S subtracfion method to check your work. $$ 635+137= $$

Question

UpStudy AI · Accepted Answer

To solve the problem $$ 635 + 137 $$ using a place value chart with chips, we will follow these steps:

### Step 1: Create a Place Value Chart

We will create a place value chart with three columns: Hundreds, Tens, and Units (Ones).

```
| Hundreds | Tens | Units |
|----------|------|-------|
|    6     |  3   |   5   |  (for 635)
|    1     |  3   |   7   |  (for 137)
```

### Step 2: Add the Values in Each Column

Now, we will add the values in each column:

1. **Units (Ones) Column:**
   - $$ 5 + 7 = 12 $$
   - Write down 2 in the Units column and carry over 1 to the Tens column.

2. **Tens Column:**
   - $$ 3 + 3 + 1 	ext{ (carry)} = 7 $$
   - Write down 7 in the Tens column.

3. **Hundreds Column:**
   - $$ 6 + 1 = 7 $$
   - Write down 7 in the Hundreds column.

### Step 3: Write the Final Result

Now, we can write the final result from our place value chart:

```
| Hundreds | Tens | Units |
|----------|------|-------|
|    7     |  7   |   2   |
```

Thus, $$ 635 + 137 = 772 $$.

### Step 4: Check the Work Using Subtraction Method

To verify our result, we can use the subtraction method. We will subtract $$ 137 $$ from $$ 772 $$ to see if we get back to $$ 635 $$.

1. **Subtract the Units:**
   - $$ 2 - 7 $$ (we need to borrow)
   - Borrow 1 from the Tens column (making it 6), so $$ 12 - 7 = 5 $$.

2. **Subtract the Tens:**
   - $$ 6 - 3 = 3 $$.

3. **Subtract the Hundreds:**
   - $$ 7 - 1 = 6 $$.

Putting it all together, we have:

```
| Hundreds | Tens | Units |
|----------|------|-------|
|    6     |  3   |   5   |
```

Thus, $$ 772 - 137 = 635 $$, confirming that our addition was correct.

### Final Answer

The final result of $$ 635 + 137 $$ is $$ 772 $$.
$$ 635 + 137 = 772 $$.

Draw a place value chart with chips to solve the problem. S subtracfion method to check your work. \( 635+137= \)