Answer:
1.
Explanation:
One way to evaluate this question is to take the number one tenth of 1.05, which would be ten thousandths, or 10-10. Another way is to ask yourself what you were taught in school about decimals. If eleven tenths are written as 10/2, then one tenth would be 11/10 or 11/100 since they are equivalent fractions. One over 100 has a value of 100 if ten percent has a value of ten one hundredths or (.1) (nb). So the answer is 0.000100110110100100001011000001000000100100000011001000100110000110 (wrong punctuation) which would be equal to .3% without rounding off but I am not sure what the correct answer would be if one were to round off.
The first thing you should realize is that this is a trick question. There is no definite value for 0.1% or 10-10 because it depends on how these values are represented. If you were to use scientific notation, both values would look like 1E-8 or 1/100000 which has a decimal part of 8 places long and a whole number part of 3 places long (in other words, it represents the fraction .0000000...0000). But if those numbers are represented as powers of ten, then 0.1% equals 100*10 (-10) which means our decimal part is now 9 places long! So any representation of these numbers is going to have a different number of decimal places, which means the resulting percentage is going to be different. But the question does mention "without rounding off", so let's assume we need these numbers in their shortest format. Assuming this is so, then you would get 10-10 or 1E-9 as your answer since these numbers both represent a value one tenth of 1% (0.01%) and are only one place long on each side of the decimal point (it doesn't matter which direction it goes).
If you used scientific notation for your calculation, the first digit will always be 1, no matter how many zeroes come before it (1*10-17 represents the fraction (.0000000000000001) while 10*10-17 represents the fraction (.00000000001)). But this isn't a problem because we need the shortest representation of 0.1% and 1E-9 is shorter than 10E-18 so it is our answer.