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

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:** - \( 3 + 3 + 1 \text{ (carry)} = 7 \) - 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 \( 772 \).