Math, asked by help17, 1 year ago

show that 0.3333...=0.3 can be expressed in the form p/q and where Pand q are intgers and q not equal to 0?

Answers

Answered by koushik02

486

0.333....

Let x be 0.333.....

and Let 10x be 10 X 0.333...... = 3.33

10 x - x = 3.33 - 0.33

=3

9x = 3

x = 3/9 =1/3!

1/3 is a rational number which is in p/q form where p and q are integers(co primes) and q is not equal to 0.so it can be the answer,if it is right so please give me thumbs up experts

help17: why we multiple 10

help17: is it a formue?

Anonymous: no its not formula

koushik02: to equalize the digit after decimal in both the cases

koushik02: as 3.33 and 0.33 have equal digit after the decimal

koushik02: hope u understand

help17: thank you

Answered by Anonymous

244

Heya brilliant brainly users........
ur answer are there__________
let x= 0.33333...--------(1)
in equation (1)multiply 10 both side...
10x= 3.3333....------------------------(2)
subtract equation (1)from(2)
10x-x= 3.3333..- 0.3333..
9x= 3
x = 3/9
x=1/3
hopes it will help u
thanks

Anonymous: hey listen. if decimal after one digit then u hav to multiply by 10 and if decimal after two digit then u hav to multiply 100 and continuously as well as

Anonymous: and there some more cases

help17: thanks

Anonymous: welcome

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