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Solution 3.1:4b

From Förberedande kurs i matematik 1

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By writing 0.027 as 27103, where 27=333=33 and 103=(101)3=0.13 we see that

30.027=327103=3273103=33330.13=30.1=0.3,

where we have used 3a3=a313=a331=a1=a.