How do you evaluate #\frac{99}{3}\times 6\times 8(9)#?

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Answer 1 · 2016-12-17T08:44:46

#=14,256#

We do not have to worry about the order of operations because multiplication and division are equally strong.

Obviously we could just use a calculator, but let's do it without....

"Work smarter, not harder"

You could divide 99 by 3, but I would choose not to.
Multiplying by 99 is very close to multiplying by 100, so leave 99 as it is.

#99/cancel3 xx cancel6^2/1 xx (8xx9)/1#

#= 99xx2 xx 72#

#= color(red)(99) xx 144#

#= color(red)((100-1)) xx 144" "larr# use the distributive law

#= 14,400-144#

#= 14,400 -100-44#

#=14,256#