Q2 of 21 Page 45

Find fractions of denominators which are power of 10, getting closer and closer to each of the fractions below and then write their decimal form.




⇒


Thus, we get a fraction of denominator 10, close to


Now, to get a fraction of denominator 100, close to ,


start with




⇒


Similarly, we can have




⇒




⇒


We observe that, the fractions get closer and closer to


∴ we can write,



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2

Find fractions of denominators which are power of 10, getting closer and closer to each of the fractions below and then write their decimal form.

 2

Find fractions of denominators which are power of 10, getting closer and closer to each of the fractions below and then write their decimal form.

 2

Find fractions of denominators which are power of 10, getting closer and closer to each of the fractions below and then write their decimal form.

 3

i) Explain using algebra, that the fractions gets closer and closer to

ii) Using the general principle above on single digit numbers, find the decimal forms of (why are left out in this?)


iii) What can we say in general about those decimal forms in which a single digit repeats?