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Mastering Partial Sums: Effective Addition Techniques

Learn the Partial-Sums method for addition, where we add values column by column from left to right. This technique emphasizes understanding the value of each digit based on its place in the numeral. By practicing this method, you'll enhance your skills in calculating sums like 23 + 45 and 376 + 832. Each column's sum is recorded separately, allowing easy breakdowns of hundreds, tens, and units. Join us to practice adding with this method and become proficient in mental math!

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Mastering Partial Sums: Effective Addition Techniques

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  1. Addition Algorithms S. Matthews

  2. Partial-Sums Method for Addition Add from left to right and column by column. The sum of each column is recorded on a separate line. The value of each digit is determined by its place in the numeral.

  3. Let’s practice the value of digits for Partial-Sums. In the problem 23 + 45, we first add the 2 and 4. However, the 2 is worth 2 tens, and the 4 is worth 4 tens. So we say 20, not 2; and 40, not 4.

  4. Let’s practice the value of digits for Partial-Sums. Your turn. What do we say when adding the hundred’s place for 376 + 832?

  5. You’ve got it! We say 300, not 3; and 800, not 8. What is the sum of the 100’s place?

  6. Can’t fool you! In 376 and 832, the 3 is worth 300, and the 8 is worth 800. 300 + 800 is 1,100 or eleven hundred.

  7. Let’s practice the value of digits for Partial-Sums. Let’s continue. What do we say when adding the tens place for 376 + 832?

  8. That’s right! We say 70, not 7; and 30, not 3. What is the sum of the 10’s place?

  9. Can’t fool you! In 376 and 832, the 7 is worth 70, and the 3 is worth 30. 70 + 30 is 100 or ten tens.

  10. Take a look at the steps for addition using the Partial-Sums Method. Then we’ll practice the method some more.

  11. + 435 398 Add the 100’s: 300 + 400 = 700 Add the 10’s: 90 + 30 = 120 + 13 Add the 1’s: 8 + 5 = 833 Find the total

  12. Now, you try the Partial- sums method using the numbers we practiced.

  13. + 832 376 1100 Add the 100’s: 300 + 800 = 100 Add the 10’s: 70 + 30 = + 8 Add the 1’s: 6 + 2 = 1,208 Find the total

  14. You are good! Let’s try just one more.

  15. + 285 479 600 Add the 100’s: 400 + 200 = Add the 10’s: 70 + 80 = 150 + 14 Add the 1’s: 9 + 5 = 764 Find the total

  16. Excellent! I know you’ve got the hang of it. • Don’t forget, in the Partial-Sums method for addition, you: • add the 100’s, • add the 10’s, • add the 1’s. • Then add the sums you just found. • (the partial sums)

  17. Keep practicing. Peace!

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