The document explains how to add positive whole numbers without using a calculator, detailing the process of aligning numbers and carrying over when necessary. It illustrates examples with simple and larger numbers, emphasizing the benefit of grouping numbers that sum to ten for easier addition. The document concludes with a practical application, calculating the total value of graduation gifts.

1. Addition of Positive Whole Numbers

2. Objective: Without the use of a calculator, you will learn to add whole positive numbers.

3. What is ADDITION? Addition is just a final count of numbers or items. Also called the “sum.”

4. Let’s Start Simple: Add the numbers 2 and 4. This gives us 6.

5. Let’s add larger numbers. 12 and 34 Line up numbers 12 + 34 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.)

6. Let’s add larger numbers. 12 and 34 Line up numbers 12 + 34 6 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.) Then add the numbers that are on top of each other like you normally would add numbers.

7. Let’s add larger numbers. 12 and 34 Line up numbers 1 2 + 3 4 6 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.) Then add the numbers that are on top of each other like you normally would add numbers.

8. Let’s add larger numbers. 12 and 34 Line up numbers 1 2 + 3 4 4 6 Line up the digits on top of each other starting with the number on the right (the rightmost digit, which is called the “ones” place.) And do the same for the other column of numbers .

9. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9

10. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 0 Since 9+1=10, we will write the last digit of 10 (the zero) and “carry” the one above the 3 to the left to add it.

11. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 0 Since 9+1=10, we will write the last digit of 1 0 (the zero ) and “carry” the one above the 3 to the left to add it. 1

12. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 0 Now we will add the 3 and 5, and also the 1 since it was carried over. 1

13. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 9 0 Now we will add the 3 and 5, and also the 1 since it was carried over. 5+3+1=9 We do NOT need to carry here. 1

14. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 9 0 Now we will add the 2 and 4 that in the far left column. 1

15. Adding larger numbers... You may have to “carry” numbers to the next column of numbers being added if the first column is over 9. 2 3 1 + 4 5 9 6 9 0 Now we will add the 2 and 4 that in the far left column. 2+4=6 1

16. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96

17. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 Line up the numbers first. 2 4 6 5 7 3 1 1 3 + 9 6

18. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Then, add up right column 6 5 7 3 1 1 3 + 9 6

19. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Then, add up right column 6 5 7 3 1 1 3 + 9 6 If you group together numbers that form the sum of 10, addition can be done quicker!

20. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Then, add up right column 6 5 7 3 1 1 3 + 9 6 0 If you group together numbers that form the sum of 10, addition can be done quicker! This grouping makes it easier to see that the right column of numbers adds up to be 20. So we’ll write the 0 and carry the 2 . 2 *

21. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Now we will add up the next column 6 5 7 3 1 1 3 + 9 6 0 2

22. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Now we will add up the next column 6 5 7 Grouping ten again... 3 1 1 3 + 9 6 0 2

23. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Now we will add up the next column 6 5 7 Grouping ten again... 3 1 1 3 Then add 5, 2, and 2 + 9 6 0 2 5+2+2=9

24. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Now we will add up the next column 6 5 7 Grouping ten again... 3 1 1 3 Then add 5, 2, and 2 + 9 6 9 0 2 5+2+2=9 Add the 10 and 9, we get 19 . Write the 9 and carry the 1 to the next column. 1

25. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Now we will add up the next column 6 5 7 3 1 1 3 + 9 6 9 0 2 1

26. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 Now we will add up the next column 6 5 7 3 1 1 3 + 9 6 8 9 0 2 1 Just a simple 1+6+1 = 8 No need to carry here, 8 is a single digit!

27. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 6 5 7 3 1 1 3 + 9 6 8 9 0 2 1 Nothing left to do but bring the 3 down, since there is nothing else to add.

28. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 6 5 7 3 1 1 3 + 9 6 3 8 9 0 2 1 Nothing left to do but bring the 3 down, since there is nothing else to add.

29. When adding lists of larger numbers, sometimes it is best to group numbers that add to equal 10, as it is easier to add! Add 24, 657, 3113, and 96 2 4 6 5 7 3 1 1 3 + 9 6 3 8 9 0 2 1 Final Answer!

30. With some practice, you will be able to successfully add positive whole numbers! This will be useful in all aspects of this class AND in your everyday life. Let’s look at a real-world example...

31. You graduated from WCC!!!! As some of your graduation gifts, you receive gifts from family and friends with the values of $50, $129, $78, and $23. What is the total value of these gifts?

32. You graduated from WCC!!!! As some of your graduation gifts, you receive gifts from family and friends with the values of $50, $129, $78, and $23. What is the total value of these gifts? You will simply need to ADD all of those numbers up to get the total. 5 0 1 2 9 7 8 + 2 3 0

33. You graduated from WCC!!!! As some of your graduation gifts, you receive gifts from family and friends with the values of $50, $129, $78, and $23. What is the total value of these gifts? You will simply need to ADD all of those numbers up to get the total. 5 0 1 2 9 7 8 + 2 3 0 Keep in mind to line up the places, add each column, and carry if the number has more than one digit! 0+9+8+3=20 2

34. You graduated from WCC!!!! As some of your graduation gifts, you receive gifts from family and friends with the values of $50, $129, $78, and $23. What is the total value of these gifts? You will simply need to ADD all of those numbers up to get the total. 5 0 1 2 9 7 8 + 2 3 8 0 Keep in mind to line up the places, add each column, and carry if the number has more than one digit! 2+5+2+7+2=18 2 1

35. You graduated from WCC!!!! As some of your graduation gifts, you receive gifts from family and friends with the values of $50, $129, $78, and $23. What is the total value of these gifts? You will simply need to ADD all of those numbers up to get the total. 5 0 1 2 9 7 8 + 2 3 2 8 0 Keep in mind to line up the places, add each column, and carry if the number has more than one digit! 1+1=2 2 1

36. You graduated from WCC!!!! As some of your graduation gifts, you receive gifts from family and friends with the values of $50, $129, $78, and $23. What is the total value of these gifts? You will simply need to ADD all of those numbers up to get the total. 5 0 1 2 9 7 8 + 2 3 2 8 0 You got $280 in gifts! Congratulations!!! 2 1

37. Keep all this in mind, as in the next section we will be..... Subtracting Positive Whole Numbers!!!! Log onto www.coursecompass.com and complete the homework for section 1.2 that deals with addition of positive whole numbers.