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Solution 3.1:4a

From Förberedande kurs i matematik 1

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The decimal number 0.16 can also be written as 16102 and then it is easier to see that, since 16=44=42 and 102=(101)2=0.12,

0.16=16102=16102=420.12=40.1=0.4.

Another alternative is, of course, to see directly that 0.16=0.40.4=0.42, and then that 0.16=0.42=0.4.