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Partial Sums. An Addition Algorithm. 2 6 8. Add the hundreds ( 200 + 400). + 4 8 3. + 11. Add the partial sums (600 + 140 + 11). Partial Sums. 600. Add the tens (60 +80). 140. Add the ones (8 + 3). 751. 7 8 5. Add the hundreds ( 700 + 600). + 6 4 1. + 6. - PowerPoint PPT Presentation
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Created by Rina Iati, South Western School District, Created by Rina Iati, South Western School District, Hanover, PAHanover, PA
Partial SumsPartial Sums
An Addition AlgorithmAn Addition Algorithm
Created by Rina Iati, South Western School District, Created by Rina Iati, South Western School District, Hanover, PAHanover, PA
268+ 483
600Add the hundreds (200 + 400)
Add the tens (60 +80) 140Add the ones (8 + 3)
Add the partial sums(600 + 140 + 11)
+ 11751
Created by Rina Iati, South Western School District, Created by Rina Iati, South Western School District, Hanover, PAHanover, PA
785+ 6411300Add the hundreds (700 + 600)
Add the tens (80 +40) 120Add the ones (5 + 1)
Add the partial sums(1300 + 120 + 6)
+ 6
1426
Created by Rina Iati, South Western School District, Created by Rina Iati, South Western School District, Hanover, PAHanover, PA
329+ 9891200 100
+ 18
1318
Created by Rina Iati, South Western School District, Created by Rina Iati, South Western School District, Hanover, PAHanover, PA
The partial sums algorithm for The partial sums algorithm for addition is particularly useful for addition is particularly useful for adding multi-digit numbers. The adding multi-digit numbers. The partial sums are easier numbers to partial sums are easier numbers to work with, and students feel work with, and students feel empowered when they discover that, empowered when they discover that, with practice, they can use this with practice, they can use this algorithm to add number mentally.algorithm to add number mentally.
![Evaluation of various partial sums of Gaussian q-binomial sums · 102 Arab. J. Math. (2018) 7:101–112 We recall a different result from [6]: for any nonnegative integer t, k≤t](https://img.pdfslide.us/doc/110x75/5e13552482ffa83ac33837e5/evaluation-of-various-partial-sums-of-gaussian-q-binomial-sums-102-arab-j-math.jpg)
