What number is 24% of 105? Please tell me how to solve w/o a calculator

Question

anonymous · Answer

the answer is 25.2 but solving it with out a calculator Ummm

agreene · Answer

105*0.24 = 25.2
to do without calculator you just have to use long form multiplication and try not to mess up the decimal.

anonymous · Answer

Hmm, if I did 105x0.24 and round it would it still be an acceptable answer, like on a test or does that depend on the professor?

anonymous · Answer

I mean rounding to 25

agreene · Answer

depends on professor, in this case there is only one decimal so I would keep it.
alternatively you can do fractions, if you are good with them.

0.24=6/25
105*6/25 = 126/5             which is an exact answer, also.

anonymous · Answer

Sorry, but how did you get 126?

agreene · Answer

$$\frac{105}{1}*\frac{6}{25} = \frac{105*6}{1*25}=\frac{630}{25}$$
then take a factor of 5 out of both top and bottom (divide by 5) and you get
$$\frac{126}{5}$$

anonymous · Answer

Oh thanks