How do you solve #67,473-:32#?

1 Answer
Apr 25, 2016

#67473 -: 32 = 2108.53125#

Explanation:

Note that #32 = 2xx2xx2xx2xx2 = 2^5#

So one way of dividing by #32# is to divide by #2# five times:

#color(white)(-> )67473#
#-> 33736.5#
#-> 16868.25#
#-> color(white)(0)8434.125#
#-> color(white)(0)4217.0625#
#-> color(white)(0)2108.53125#

If all you want is an approximation, then note that #32 xx 3 = 96# is #4%# less than #100#, so you can multiply by #3#, divide by #100# and add #4%#...

#67473 xx 3 = 202419#

#202419 / 100 ~~ 2024#

#2024 * 4/100 ~~ 81#

#2024 + 81 = 2105#

...not too far off.