Define the magnitude of a number as the location of the decimal point from the left...
Define the magnitude of a number as the location of the decimal point from the left of the number (that is, if a number has 4 digits followed by the decimal point, it will have a magnitude of 4). 100 would then have a magnitude of 3 and 88,888.888 would have a magnitude of 5. A partial recursive method is given below to compute a positive int parameter's magnitude. Which answer below is needed to complete the method?
magnitude(x - 1) + 10;
magnitude(x / 10) * 2;
magnitude(x / 10) + 1;
magnitude(x - 10) + 1;
magnitude(x / 10) + 10;
Homework Answers
The idea to understand this is the following: Consider a number
which has magnitude 
. Then if 
is considered, then there will be an additional position before
the decimal. Hence, the magnitude will increase by 1.
In other words, the magnitude of 
will be smaller by 1, hence it will be 
.
Hence, 
.
Hence, the third option is the correct answer.
Comment in case of any doubts.
Add Answer to:
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If the number is a decimal
please include 4 digits past the decimal point if available.
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