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Show that 0. 3333. . . .=0. bar3can be e...

Show that `0. 3333. . . .=0. bar3`can be expressed in the form `p/q`, where p and q are integers and `q!=0`.

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let `x=0.bar 3`
multiplying it by 10 both sides
`10x= 3.3333......`
`3.3333..... = 3 + 0.333333.......`
`10x= 3 +x`
`9x = 3`
`x=1/3`
answer
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NCERT ENGLISH-NUMBER SYSTEMS-Solved Examples
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  2. Show that 0. 3333. . . .=0. bar3can be expressed in the form p/q, wher...

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  3. Locate sqrt(3)on the number line.

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  8. Rationalise the denominator of 1/(7+3sqrt(2))

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  9. Simplify (i) 2^(2/3). 2^(1/3) (ii) (3^(1/5))^4 (iii) (7^(1/5))/(7^(1...

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  10. Show that 1. 272727. . .=1. bar 27can be expressed in the form p/q, wh...

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  11. Show that 0. 2353535. . .=0. 2 bar 35can be expressed in the form p/q...

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  12. Visualize the representation of 5. 3 bar7 on the number line upto 5 de...

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  13. Find the irrational number between 1/7and 2/7.

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  14. Add 2sqrt(2)+5sqrt(3) and sqrt(2)-3sqrt(3).

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  15. Check whether 7sqrt(5),7/(sqrt(5)),sqrt(2)+21 ,pi-2are irrational numb...

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  17. Multiply 6sqrt(5)by 2sqrt(5).

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  18. Rationalise the denominator of 1/(sqrt(2))

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