grammargirl,
@grammargirl@zirk.us avatar

OK, remember that I am a word person, and please don't mock me, but I learned something today about math that blew my mind.

I mentioned to my husband I have always struggled with multiplying by 9. He countered that 9 is the easiest number.

And I was all "No way, what are you talking about?" And then he told me these rules. 😲

There must be at least one or two other people who didn't know this and who will be as happy as I was to learn it!

kagan,
@kagan@wandering.shop avatar

@grammargirl I knew this already, but I'm not here to mock. You, and the others who are about to (or just did) learn it from your boost, are in today's Ten Thousand:

https://xkcd.com/1053/

Daniel_Loxton,

@grammargirl I always used this short cut pattern: 7 x 9 = 70 - 7 = 63

KimberlyN,

@grammargirl

Yes, that’s an oldie, but it made it easier for me too. Math is all about seeing the patterns in the numbers.

willmore,

@grammargirl I used to teach this rule to students when I was helping a teacher by adding enriching activities. I use a visual description where you hold up you ten fingers and count over from the left how many "nines" you need to multiply by. For example, to multiply 1x9 you would drop the leftmost finger and be left with 9 fingers on the right. For 2x9 you would drop the second from the left finger and be left with 1 finger on the left and 8 on the right. They loved it.

mikej,
@mikej@mastodon.online avatar

@grammargirl I came up with that myself in elementary school and was told it was way more work than just memorizing without thinking about it. Which was why I hated math until I got a Commodore 64 which let me do weird stuff without saying that was a dumb way to do it.

Aviva_Gary,
@Aviva_Gary@noc.social avatar

@grammargirl Neat... I know a couple of the ones in thread but if you find it I am looking for the multiplication one where you draw the lines and count the intersections for the numbers like 101x 27 or something...

(I saw it on a vid once but never learned it in school)

Storrieville,

@grammargirl I was completely unaware of this!

macquilter,

@grammargirl I learned this trick decades ago and wish it were taught in schools -- it makes it so much easier! I taught it to my children and grandchildren, too.

statesdj,

@grammargirl
Q: Is a number divisible by 9?
A: Do the digits add up to 9

Q: Divisible by 3?
A: Do the digits add up to 3

Q: Divisible by 2, 5 or 10?
A: You only need to look at the last digit

Q: Divisible by 4?
A: Last digit, and is the 2nd to last odd or even

Q: Divisible by 6?
A: Is it divisible by 2 & 3

Oh 7 and 11, there are rules, but they're too complicated. Easier to just remember.

Numbers are fun :)

Galley,
@Galley@mastodon.online avatar

@grammargirl OK, so the second part was probably known at the time, but I’m pretty sure I discovered the first part (in 1980). 🤓

virtuosew,
@virtuosew@mathstodon.xyz avatar

@grammargirl I so wish my school had taught us about this! As it was they were in a phase of not really even doing times tables, and they never even mentioned number bonds - my Mam had to show me those, and chant times tables with me on the way to school.
I sometimes think that the whole idea of maths education in the seventies was to make it harder, and remove all aids.
And yet every mathematician I know has a whole array of tricks and shortcuts, and uses them All The Time!

grammargirl,
@grammargirl@zirk.us avatar

@virtuosew At my school we just memorized times tables.

virtuosew,
@virtuosew@mathstodon.xyz avatar

@grammargirl That was Old Fashioned Rote Learning and was very much not a thing. I wish it had been, not least as memory training!

Elddawt,

@grammargirl
Thank you. I'm hopeless in this area any tips welcome.

kofanchen,
@kofanchen@drosophila.social avatar

@grammargirl
I didnot know until this post! Amazing

DarlavdRiet,

@grammargirl I’m as amazed as you are! I didn’t learn this in school, either.

RubyGloomIRL,

@grammargirl @ElizabethLeeCo cool. I learned to multiply 9 (1-10) on my fingers. Holding up both hands, palms facing you, fold down your right thumb, 9 fingers still up. Fold down only right pointer finger, thumb and eight fingers. Left pinky down (6x9) 5 up, space, 4 up.

Aesthesiaphilia,

@grammargirl

Whatever you're multiplying by 9, just multiply by 10 (which is the easiest thing in the world, just add a 0 on the end) and then subtract one of whatever you're multiplying by.

Say 9 x 8

What's 10 x 8? 80.

What's 80-8? 72

9 x 8 = 72

How about 9 x 6 ?

What's 10 x 6? 60

What's 60 - 6? 54

9 x 6 = 54

The easiest number to multiply by is 10, and 9 is just "almost 10".

happmacdonald,

@grammargirl https://www.youtube.com/watch?v=-WOgLltWhgg

Also I made a multiplication table practice webpage doodad for mah kiddos that I was proud of, and that they actually tried more than one time apiece xD

https://lightsecond.com/MultiplicationTable/

zkarj,
@zkarj@mastodon.nz avatar

@grammargirl here's another trick for 9s… AND 11s.

1/9 = .11 11 11
2/9 = .22 22 22
3/9 = .33 33 33
etc

1/11 = .09 09 09
2/11 = .18 18 18
3/11 = .27 27 27
etc

I.e. the decimal digits of 9ths are multiples of 11 and vice versa.

grammargirl,
@grammargirl@zirk.us avatar

@zkarj Wow!

PamelaBarroway,
@PamelaBarroway@mstdn.social avatar

@grammargirl I recall my practicing times tables with my dad in 3rd grade — which for me was 1973. He wrote down every single one on its own index card: 5x2=10, 5x3=15, and so on. After dinner he’d help me memorize those index cards. First in order, then mixed up, until I had them down pat.

Today I can recite them perfectly from memory. Is it the optimal way to learn multiplication tables? Probably not, but I sure do know them … and I have a lovely, lasting memory about my father.

glightly,
@glightly@mastodon.social avatar

@grammargirl It is helpful!

I learned things this way (I'm that old). https://www.youtube.com/watch?v=2BgYGHsW8fY

grammargirl,
@grammargirl@zirk.us avatar

@glightly Wild. I loved Schoolhouse Rock, but I don't remember that one.

mlanger,
@mlanger@mastodon.world avatar

@grammargirl

Here’s a related trick related to transpositional adding errors.

Suppose you want to add 316+214 and by mistake you add 316+ 124. The 124 is a transpositional error because two digits are swapped. The difference between the correct sum and the sum with the transpositional error will always be evenly divisible by nine. In this example: 530-440=90, 90/9=10.

Try it!

And it is possible to be a word person and a numbers person. 😉

dernub,

@grammargirl If you look at the pattern, you’ll see the 10’s digit going up, 1 - 8 (if only going 9x9) and the 1’s digit going down, 8 - 1.

USelaine,
@USelaine@mastodon.online avatar

@grammargirl That’s the only way I can remember.

pmb,

deleted_by_author

  • Loading...
  • grammargirl,
    @grammargirl@zirk.us avatar

    @pmb I didn't know that either! Thanks.

    grammargirl,
    @grammargirl@zirk.us avatar

    @pmb I didn't know the x11 rule either!

    accessamy,

    @grammargirl One of the best things I ever learned!

    (But when I get to 9x12 my head explodes a little and I feel even less smart. 🥴 )

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