The conversion of 41.7 from base eight to base ten results in 33.875. This is done by multiplying each digit by the appropriate power of 8 and summing the results. However, the correct answer is not listed among the options provided.
To convert 41.7 base eight to base ten, we need to multiply each digit by 8 raised to the power of its position, with positions to the left of the decimal point starting at 0 and increasing to the left and starting at -1 and decreasing to the right for positions to the right of the decimal point. Here's how the conversion works:
(4 × 8^1) = (4 × 8) = 32
(1 × 8^0) = (1 × 1) = 1
(7 × 8^-1) = (7 × 0.125) = 0.875
Now, add these values together:
32 + 1 + 0.875 = 33.875 base ten
But none of the options given are 33.875. If we recheck the options, we notice that the right answer isn't listed. The student should be made aware of this error.