1. Find Terminating Decimal of `337/125`
Solution:
`337/125=(337)/(5 xx 5 xx 5)`
`=(337)/(5^3)`
The denominator is of the form `2^mxx5^n`
Hence, the decimal expansion of `337/125` is terminating
2. Find Terminating Decimal of `11/1250`
Solution:
`11/1250=(11)/(2 xx 5 xx 5 xx 5 xx 5)`
`=(11)/(2 xx 5^4)`
The denominator is of the form `2^mxx5^n`
Hence, the decimal expansion of `11/1250` is terminating
3. Find Terminating Decimal of `12/35`
Solution:
`12/35=(2 xx 2 xx 3)/(5 xx 7)`
`=(2^2 xx 3)/(5 xx 7)`
Since the denominator is not of the form `2^mxx5^n`, and it also has 7 as its factor.
The decimal expansion of `12/35` is non-terminating
4. Find Terminating Decimal of `42/35`
Solution:
`42/35=(2 xx 3 xx 7)/(5 xx 7)`
`=(2 xx 3 xx cancel{(7)})/(5 xx cancel{(7)})`
`=(2 xx 3)/(5)`
The denominator is of the form `2^mxx5^n`
Hence, the decimal expansion of `42/35` is terminating
This material is intended as a summary. Use your textbook for detail explanation.
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