This was requested by Jake’s Mom. Since she was taught to borrow, she was dumfounded at what Jake brought home. Happily, Jake is young enough and unscathed enough to not balk at a “different” method that what his mom was taught. He got it right away.

But Jake’s mom, on the other hand, is struggling.

If your kiddo is being taught this, here’s a way to look at it that might help you understand what’s going on.

First, a brief review on the relationship of subtraction to addition:

Here’s what “reverse addition” looks like in relation to our old friend “borrowing,” using the same example:

And here’s an example:

Another example (along with a special tip for you):

And a final example, just to help you get the hang of it.

Still have questions? Post them in the comments. Need something else? Request it and I’ll get to it as soon as I can.

Thanks, Jake’s Mom, for the question!

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Great videos, Bon! Keep it up – I look forward to seeing more.

Thanks, Neal. Glad you’re here!

I agree with your assumption.

Thanks, Janeyquiel!

Thanks! I like this way better for myself. Jake doesn’t seem to mind either way but has obviously been taught this way. Appreciate the lesson so I know what he is doing:)

Hi Bon,

One advantage I see with the reverse addition method is that it bleeds quite nicely into algebra, certainly more so than subtraction does.

I wonder how division via reverse multiplication looks. That might be interesting to play with to find out.

Shawn

Thanks for your comment, Shawn.

I hadn’t thought about the implications of reverse addition on algebra. Thanks for pointing it out.

Reverse multiplication… I’m going to have to think on that one. Interesting.

In France where I studied, kids learns to write the 4 operations without ANY additional scribbles (except sometimes large additions).

They think about the subtraction as subtraction (not reverse addition) but the layout of the operation is the same as the one presented above as reverse addition.

The EXPLANATION given is called “constant difference” : I do not change a difference if I ADD THE SAME AMOUNT to both terms of a subtraction: add 10 to the TOP number in any column, and then add 1 power of the next higher kind to the BOTTOM number of the next column.

63 – 25 = (63 + 10) – (25 + 10)

They don’t write the 1 carried over, they just remember it for a fraction of a second.