Pre-Algebra 18 - Converting Fractions to Decimal Numbers

Any fraction can be converted into an equivalent decimal number with a sequence of digits after the decimal point, which either repeats or terminates. The reason can be understood by close examination of the number line.

[MAHGDI]

27 years old, engineer but professor von made me knew things i never know before

[c]

cool animation dude now is this for a school project or somthing? or just to help peaple?

[MegaMementoMori]

Tell us what the decimals represent on number systems with bases other then 10! (They would not really be decimals, then - rather binals, octals or hexadecimals ;)

[farahjaber]

well we can also convert a fraction into a decimal with creating base 10 denominator fraction that is equivalent to the fraction Ex:2x5=10, 4x25=100, 8x125=1000

[cecasiahaan]

2 is divisible by 1000
4 is divisible by 1000
5 is divisible by 1000
8 is divisible by 1000
10 is divisible by 1000

[anthonycuellar]

i dont get it how old r u eople and your wathcing this video im in fith grade and u

[iamnobody]

So, the only reason why we have repeating decimals is due to the number system we use. A repeating decimal in base 10, it's not necessarily a repeating decimal in another base.

I wonder if that is the case with irrational numbers as well.