When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird Oddly, perhaps, this is the last of the "multiplication table" I memorized (though that rote memory has eroded in later years). So, for me, it was "7x4x2" for most of my educational life.
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@futurebird 6*7 is 42, which I have memorized like most of the multiplications up to 12*12.
But 9*6 = 54 is one I can never remember on its own. I always go 8*6 and then add 6.
@aesthr @futurebird 6 * 9 = 42, though (in base 13)
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@tknarr @futurebird We are a memoized multiplication function with a years-long cache preflighting performed in advance.
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird @StillIRise1963 I get 56 instantly and I voted that way but it’s worth noting that I did memorize the multiplication tables up through 12 at a very young age.
However beyond 12, I use different concepts of multiplication and addition and estimation to get the numbers.
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird personally for good and fast muscle-memory outcome=derivation based on imprinted squares.
7*7=49 +7=50+(7-1) ==56 -
When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird I've multiplied the single-digit numbers so many times in my head that I get 56 instantly, but when I was a kid I had an easier time remembering that 7*7 = 49 or 7*9 = 63 and then either adding or subtracting.
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird 7*2=14,14*2=28,28*2=40+(8*2=16)=56 is how I get there.
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* because 7 is greater than 5 most of the time when you add it to a two digit number you must carry which is another opportunity to make an error.
* it is not a multiple of 2 so you can't use counting by twos to help
* 9 is easy and there are may tricks to remember the multiples of 9s
* Therefore 7 is the most troublesome number.
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird usually instantly. When I'm having a bad day 8²-8 since squares are burnt into my brain for some reason (and within reason, magnitude-wise)
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* because 7 is greater than 5 most of the time when you add it to a two digit number you must carry which is another opportunity to make an error.
* it is not a multiple of 2 so you can't use counting by twos to help
* 9 is easy and there are may tricks to remember the multiples of 9s
* Therefore 7 is the most troublesome number.
@futurebird @jitterted Being a football fan when I was a kid made 7 a very easy number for me to deal with.
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird Six times seven is forty-two by association with Hitchhiker's Guide to the Galaxy; add fourteen to that.
(My dad used to always point out when we watched the HHGTTG TV series on Betamax that multiplying six by nine does not, in fact, make forty-two, and that actually six times seven does.)
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird I thought it was 4.
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird memorized long time ago in a different language, so 7x8 is instant but "seven times eight" requires extra translation.
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird had to drill the multiplication table as a kid. Hated it, but as an adult it’s handy
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* because 7 is greater than 5 most of the time when you add it to a two digit number you must carry which is another opportunity to make an error.
* it is not a multiple of 2 so you can't use counting by twos to help
* 9 is easy and there are may tricks to remember the multiples of 9s
* Therefore 7 is the most troublesome number.
@jitterted@sfba.social @futurebird@sauropods.win
7x8 no problem
8x7 takes longer7x7 is always 49 so just add 7
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird 7 * 8 ? This is how I do it i my head
0111
1000
______ apply logical AND of each bit in multiplier to the multiplicand and shift results to match bit position in the multiplier.---0000
--0000.
-0000..
0111... (add all these 4)
_________
0111000 = 8 + 16 + 32 =56 !7 * 5 :
0111
0101
------
...0111
..0000.
.0111..
000...
---------
010011 = 32 + 2 + 1 = 35 !(your question prompted search I had been meaning to do for long on how CPU multiply).
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird At grade school we had to memorize multiplcation table up to 12. I assume kids these days just press the button and ask Siri
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When you need to multiply 7*8 do you simply have it memorized, or do you need to add, subtract or otherwise connect it to another math fact that you know better?
That is do you simply think "56" or are there more thoughts that lead to 56?
@futurebird Computer science is largely just a sillier version of math in general, so I've memorized single digit addition and multiplication, as well as powers of 2 which are important to computers.
I have to manually carry for anything beyond a single digit, which slows me down. -
@futurebird Computer science is largely just a sillier version of math in general, so I've memorized single digit addition and multiplication, as well as powers of 2 which are important to computers.
I have to manually carry for anything beyond a single digit, which slows me down.@futurebird My ex had this thing where, inspired by her father's love of dominoes, would see the numbers as domino pips, and she would quickly smash them together and they'd rearrange and she'd have the answer in half the time it would take me.
It wouldn't work on more complex operations like square roots though. -
* because 7 is greater than 5 most of the time when you add it to a two digit number you must carry which is another opportunity to make an error.
* it is not a multiple of 2 so you can't use counting by twos to help
* 9 is easy and there are may tricks to remember the multiples of 9s
* Therefore 7 is the most troublesome number.
@futurebird @jitterted also: no useful mnemonics for divisibility by 7
