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30MSC 2023 #2: Addition Without Carrying.

30MSC 2023 #2: Addition without Carrying.

Addition is usually considered as the easiest arithmetic operation and can often be done from left to right when the addends are composed of small digits. But when the digits of the addends are big, regroupings or “carrying” are needed so that students often go back to the traditional right to left method taught in schools.

This question which was given in the junior division of the 2nd MATH-Inic Vedic Mathematics National Challenge in April 2022, would ordinarily require six regroupings.

888999 + 999888 = ?

Here the Sutra or Vedic Math formula By the Completion or Non-Completion can be used to avoid “carrying”.

First, we notice that both addends 888,999 and 999, 888, are very near 1,000,000. By using the sutra discussed in 30MSC 2023 #1, All From 9 and the Last From 10, we can see that their deficiencies from 1 million are 111,001 and 112 respectively and that 999,888 is nearer one million that the other addend.

We can immediately announce the answer as one million (for 999,888), then reading aloud the other addend, eight hundred eighty-eight thousand, (while mentally subtracting 112 from 999), eight hundred eighty-seven.    

               888999 + 999888 = 1,888,887

Other ways to avoid “carrying” in addition can be found in Chapter 2 of our rewritten e-book, 30 Master Strategies in Computing, Volume I, which will be available before the end of the year.                      

Follow us on our Facebook page, MATH-Inic Philippines at https://www.facebook.com/MATHInicPhils to see tomorrow’s 30MSC 2023 #3: Subtraction without Borrowing.

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