Divide 100 by 3, but when multiplying the answer by 3, it's 99.999 not 100

Question

I just want to know why I can divide 100 by 3 and it equals 33.3333 continuous but then when i multiply the same number by 3, it equals 99.999 and not 100. why is that?

Answer 1

100/3=33.3333333333333333333333333333333333333333333333...

if yu yuze kalkulater, it limit number digits so yu get sumthun like

33.33333

mulitpli this bi 3 & yu get 99.99999

its kalled round off errer

All masheens R limited bi the representashun em yuze for numbers

Most puters tudae yuze 64 bits, but bout 10 bits is the exponent & 1 bit for the sine

so yer left with 53 bits tu hold the desimal number...15 digits

& just a fyu yeers, 16 bit miniputers was the best theer was

Answer 2

Its because its continuous. 100/3 = 33.33(3) continuous, which means you can always add another 3 in the end and get closer to the lower number. Multiplying this number by 3 does not equal 99.999, it equals 99.99(continuous). You can always add another 9 in the end and get closer to 100. The reason you see this in a calculator is because it doesn't know that the number you are mutiplying is continuous.

Otherwise, 100/3 is the result of dividing 100 by 3 and when you multiply that by 3, you get 3*100/3=100. That's why you have two types of fractions.

In order to keep the math right, continuous results should always be written down as 100/3 for an example.