What is #234 * 56#?

1 Answer
May 5, 2016

#234*56 = color(green)(13,104)#

Explanation:

I'm not sure why this should be a problem.

Maybe its that #234*56# was not recognized as the same as #234xx56#
or maybe it is how to do multi-digit multiplication.

Here is how it can be done (in excessive detail)

#color(white)("XXX")234#
#color(white)("XX")underline(xx56)#

Multiply #4# by #6#
#color(white)("XXX")23color(red)(4)#
#color(white)("XX")underline(xx5color(red)(6))#
#color(white)("XXXX")color(red)(24)#

Multiply #3# by #6# and write the product shifted one position to the left
#color(white)("XXX")2color(red)(3)4#
#color(white)("XX")underline(xx5color(red)(6))#
#color(white)("XXXX")24#
#color(white)("XXX")color(red)(18)#

Similarly
#color(white)("XXX")color(red)(2)34#
#color(white)("XX")underline(xx5color(red)(6))#
#color(white)("XXXX")24#
#color(white)("XXX")18#
#color(white)("XX")color(red)(12)#

Repeat this process multiplying by #5# but start 1 position in from the left
(that is under the #5#)
#color(white)("XXX")23color(red)(4)#
#color(white)("XX")underline(xxcolor(red)(5)6)#
#color(white)("XXXX")24#
#color(white)("XXX")18#
#color(white)("XX")12#
#color(white)("XXXX")color(red)(20)#

Continuing on until;
#color(white)("XXX")234#
#color(white)("XX")underline(xx56)#
#color(white)("XXXX")24#
#color(white)("XXX")18#
#color(white)("XX")12#
#color(white)("XXXX")20#
#color(white)("XXX")15#
#color(white)("XX")underline(10color(white)("XXX"))#

Add the columns of values under the multiplication
#color(white)("XXX")234#
#color(white)("XX")underline(xx56)#
#color(white)("XXXX")color(blue)(2)color(red)(4)#
#color(white)("XXX")color(green)(1)color(blue)(8)#
#color(white)("XX")color(orange)(1)color(green)(2)#
#color(white)("XXx")color(green)(2)color(blue)(0)#
#color(white)("XX")color(orange)(1)color(green)(5)#
#color(white)("X")underline(color(cyan)(1)color(orange)(0)color(white)("XXX"))#
#color(white)("X")color(cyan)(1)color(orange)(3)color(green)(1)color(blue)(0)color(red)(4)#

I don't know of any way to present this in more detail.