Question: Show that may be expressed as and so as a rational number. Use a similar method to express as rational numbers 0.57 (that is, 0.575

Show that

0.57 (that is, 0.575 757 ...)

may be expressed as

-4 57 X 102+57 X 104 +...,

and so

0.57=571100. Hence express 0.57

as a rational number. Use a similar method to express as rational numbers

(a) 0.413 (c) 0.999 999... (b) 0.101 010... (d) 17.231 723 172 3...

0.57 (that is, 0.575 757 ...)

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