11 x 274 = 3014. Does anyone know the shortcut?

Answer 1

add adjacent digits starting from the right

'nothing' + 4 = 4

4 + 7 = 11 = 1 + carry 1

7 + 2 = 9 (+ the carried 1) = 0 + carry 1

2 + 'nothing (+ the carried 1) = 3


going "backwards here note the digit immediatley
following the "=" sign

3 ... 0 ... 1 .... 4

3014

lookinh back you'll notice that "2" "7" and "4" are
listed backwards at the left margin of the "scratch" area ..

this really does work ((I wrote 'nothing' in place of "0"
since 'nothing' sorta represents the written boundaries
of the number in question ))... hard to type things that
are typically expressed verbally with hand gestures, pointing etc. ..

good luck

Answer 2

A great man, the late Jakow Trachtenberg, developed a system of speed mathematics whereby to answer your question :-

1. The last number of the multiplicand is put down as the right hand figure of the answer.
2. Each successive number of the multiplicand is added to its neighbor at the right.
3. The first number of the multiplicand becomes the left hand number of the answer.

[4]
4+7+11 (that is 1 carry 1)
[14]
7+2+1=10 (that is 0 carry 1)
[014]
2+1=3
[3014]

Answer 3

OK you have asked this again !

imagine a two figure number such as
ab if your number is 34 then a=3 and b=4

to multiply any number by 11 here is the short cut
answer is a(a+b)b or 374 where 7=3+4

so 24X11=264 and so on, if ab=76 then 836 is the answer since 7+6=13 so the "1" gets carried over to "7" making it "8" , it is easier to do it in your head, than to explain it.

It gets a little hairy , for 3 figure number when the answer is

11Xabc= a(a+b)(b+c)c !

Answer 4

11 x 274 = 10(274) + 1(274) = 2740 + 274

Answer 5

Not sure what you mean by shortcut.
Doing it the following way is pretty darn short
274
x11
-----
274
2740
------
3014

Answer 6

2740+274=3014

Answer 7

274x10+274 instead of 44+770+3300

Answer 8

Yup.
Generelisation. --
{[a0]*10^n+[a1]*10^(n-1)....+[an]}*{10+1}
= a0*10^(n+1) + [a1+a0]*10^n + [a1+a2]*10^(n-1) +... + an

S0 11*274 =2740+274=3014

Answer 9

a calculator

Answer 10

ELEOS