Expanded addition practice worksheet for 3-digit numbers with step-by-step breakdowns and example solution.

Problem Overview:

The task involves solving expanded addition problems for 3-digit numbers. Each problem is broken down into its hundreds, tens, and ones place values, and the goal is to add these components separately and then combine them to get the final sum.

Solution Approach:

1. Break Down Each Number: Separate each number into its hundreds, tens, and ones place values.
2. Add Corresponding Place Values: Add the hundreds, tens, and ones separately.
3. Combine the Results: Sum the results from each place value to get the final answer.

Let's solve each problem step by step.

---

Problem 1 (Already Solved):

Given:
\[
312 + 685
\]
\[
= 300 + 10 + 2
\]
\[
+ 600 + 80 + 5
\]
\[
= 900 + 90 + 7 = 997
\]

Solution: The answer is already provided as 997.

---

Problem 2:

Given:
\[
243 + 253
\]
\[
= 200 + 40 + 3
\]
\[
+ 200 + 50 + 3
\]

Step-by-Step Solution:
1. Add the hundreds place values:
\[
200 + 200 = 400
\]
2. Add the tens place values:
\[
40 + 50 = 90
\]
3. Add the ones place values:
\[
3 + 3 = 6
\]
4. Combine the results:
\[
400 + 90 + 6 = 496
\]

Final Answer:
\[
\boxed{496}
\]

---

Problem 3:

Given:
\[
762 + 736
\]
\[
= 700 + 60 + 2
\]
\[
+ 700 + 30 + 6
\]

Step-by-Step Solution:
1. Add the hundreds place values:
\[
700 + 700 = 1400
\]
2. Add the tens place values:
\[
60 + 30 = 90
\]
3. Add the ones place values:
\[
2 + 6 = 8
\]
4. Combine the results:
\[
1400 + 90 + 8 = 1498
\]

Final Answer:
\[
\boxed{1498}
\]

---

Problem 4:

Given:
\[
851 + 647
\]
\[
= 800 + 50 + 1
\]
\[
+ 600 + 40 + 7
\]

Step-by-Step Solution:
1. Add the hundreds place values:
\[
800 + 600 = 1400
\]
2. Add the tens place values:
\[
50 + 40 = 90
\]
3. Add the ones place values:
\[
1 + 7 = 8
\]
4. Combine the results:
\[
1400 + 90 + 8 = 1498
\]

Final Answer:
\[
\boxed{1498}
\]

---

Problem 5:

Given:
\[
525 + 173
\]
\[
= 500 + 20 + 5
\]
\[
+ 100 + 70 + 3
\]

Step-by-Step Solution:
1. Add the hundreds place values:
\[
500 + 100 = 600
\]
2. Add the tens place values:
\[
20 + 70 = 90
\]
3. Add the ones place values:
\[
5 + 3 = 8
\]
4. Combine the results:
\[
600 + 90 + 8 = 698
\]

Final Answer:
\[
\boxed{698}
\]

---

Problem 6:

Given:
\[
364 + 414
\]
\[
= 300 + 60 + 4
\]
\[
+ 400 + 10 + 4
\]

Step-by-Step Solution:
1. Add the hundreds place values:
\[
300 + 400 = 700
\]
2. Add the tens place values:
\[
60 + 10 = 70
\]
3. Add the ones place values:
\[
4 + 4 = 8
\]
4. Combine the results:
\[
700 + 70 + 8 = 778
\]

Final Answer:
\[
\boxed{778}
\]

---

Problem 7:

Given:
\[
676 + 323
\]
\[
= 600 + 70 + 6
\]
\[
+ 300 + 20 + 3
\]

Step-by-Step Solution:
1. Add the hundreds place values:
\[
600 + 300 = 900
\]
2. Add the tens place values:
\[
70 + 20 = 90
\]
3. Add the ones place values:
\[
6 + 3 = 9
\]
4. Combine the results:
\[
900 + 90 + 9 = 999
\]

Final Answer:
\[
\boxed{999}
\]

---

Problem 8:

Given:
\[
533 + 565
\]
\[
= 500 + 30 + 3
\]
\[
+ 500 + 60 + 5
\]

Step-by-Step Solution:
1. Add the hundreds place values:
\[
500 + 500 = 1000
\]
2. Add the tens place values:
\[
30 + 60 = 90
\]
3. Add the ones place values:
\[
3 + 5 = 8
\]
4. Combine the results:
\[
1000 + 90 + 8 = 1098
\]

Final Answer:
\[
\boxed{1098}
\]

---

Final Answers:

1. 997
2. 496
3. 1498
4. 1498
5. 698
6. 778
7. 999
8. 1098

\[
\boxed{496, 1498, 1498, 698, 778, 999, 1098}
\]