1. Step 1: Write the problem. 33 +16
Note: The first example does not include regrouping. 33
+16

2. Step 2: Divide the whiteboard into the ones place and tens place.33
+16
tens
ones

3. Step 3: Decompose each number using expanded notation.33
+16
tens
ones 30 3 10 6

4. Step 4: Add the ones place.33
+16
tens
ones 30 3 9 10 6

5. Step 5: No regrouping is necessary, so add the tens place.33
+16
tens
ones 30 3 40 9 10 6

6. Step 6: No regrouping is necessary, so add both numbers together to find the answer.33
+16 49
tens
ones 30 3 40 9 10 6
= 49

7. Step 1: Write the problem. 45 +27
Note: The second example does include regrouping. 45
+27

8. Step 2: Divide the whiteboard into the ones place and tens place.45
+27
tens
ones

9. Step 3: Decompose each number using expanded notation.45
+27
tens
ones 40 5 20 7

10. Step 4: Add the ones place.45
+27
tens
ones 40 5 12 20 7

11. Step 5: Because 12 cannot go in the ones place, decompose it again using expanded notation.45
+27
tens
ones 40 5
12 = 20 7

12. Step 6: Move the 10 to the tens place.45
+27
tens
ones 10 40 5
12 = 20 7

13. Step 7: Add the numbers in the tens place.45
+27
tens
ones 10 40 5 70
12 = 20 7

14. Step 8: Add the numbers together to find the final answer.45
+27 72
tens
ones 10 40 5 70
12 = 20 7
= 72