1. Add Whole Numbers
Unit Two Lesson Four

2. Objectives
Explain and apply standard step-by-step approaches for addition.
Determine the sum or difference of two whole numbers.

3. Let’s Review! My number has a: 6 in the hundreds place
5 in the ten thousands place 
8 in the ten millions place 
0 in the millions place 
0 in the thousands place 
1 in the tens place 
4 in the ones place
0 in the hundred thousands place 
What is my number? 

4. Let’s Review!
Round 74,567 to the nearest ten thousand.

5. Let’s Review!
Round 352,432 to the nearest thousand.

6. Let’s Review!
What is 7 ten millions + 2 millions + 6 hundred thousand + 1 ten thousands written in standard form?

7. Let’s Review!
What is 3 ten millions + 8 millions + 4 ten thousands + 6 thousands written in standard form?

8. To add these numbers, think of the values of the sums of their digits!

9. What numbers should go in the blanks?

11. Now add the hundreds, tens, and ones.

12. Now add all the numbers to get the answer!

14. Use Expanded form for the first number

15. Now write the expanded form for the second number

16. Next, add the numbers in expanded form.

17. Finally, add all the numbers up to get your answer!
3, =

18. Another Way: Counting On!
This time we’ll use a number line to solve our problem. Start where the first number should go on the number line.

19. Another Way: Counting On!
Now, look at the first digit in the second number. It is 1,000, so we will add 1,000 or move 1,000 places on our number line.

20. Another Way: Counting On!
The next number is 200, so we will make two jumps that are 100 spaces, to 3,635.

21. Another Way: Counting On!
In the next spot we have 6 tens, or 60. Let’s make 6 jumps that are ten spaces each. That puts us at 3,695.

22. Another Way: Counting On!
Finally, in the ones place we have a 9. We’ll make 9 jumps worth only one. That puts us at our answer!

23. The Fastest Way to Solve: Standard Algorithm
Here we will add the digits in place value order, regrouping when needed.

24. Start in the one’s place. Add the ones values.
2,435
+1,269

25. 5+9=14. We will need to regroup
5+9=14. We will need to regroup! Put the ones number in the ones place and the tens number at the top of the tens place. 1
2,435
+1,269 4

26. Now, we add the tens place number
Now, we add the tens place number. 3 tens plus 6 tens plus the one more we wrote on the top is 10. We have to regroup again! 1 1
2,435
+1,269 04

27. Next we move to the hundreds place
Next we move to the hundreds place. 4 plus 2 plus the one more we brought over is 7. Only one digit; no regrouping this time! 1 1
2,435
+1,269
704

28. Finally, we add the thousands place. 2 plus one is 3
Finally, we add the thousands place. 2 plus one is 3. One digit means we don’t regroup! 1 1
2,435
+1,269
3,704

29. Number the Steps to Put them in Order!
Add thousands
Add tens
Add Ones
Add hundreds