I am trying to understand sig figs and I understand the rules of multiplication/division as well as addition/subtraction; round final answer to the least number of sig figs and least amount of decimal places respectively. I am stuck however on a textbook problem that is as follows:(14.84 x 0.55) - 8.02the answer in the book states the final answer has 1 sig fig but I keep coming up with two since there are two decimal places in the subtraction portion and two sig figs in the multiplication portionmy work is as follows:14.84 x 0.55 = 8.162 and 8.162 - 8.02 = 0.142 which lead me to calculate my final answer as 0.14 however in the book the correct answer is 0.1it says it's because in 8.162 has only one known decimal place but I am confused because if it had one known decimal place shouldn't it read 8.16 making the 2 unknown. How am I supposed to know that the significance ends at 8.1 and not 8.16? please help me!!!

Question

I am trying to understand sig figs and I understand the rules of multiplication/division as well as addition/subtraction; round final answer to the least number of sig figs and least amount of decimal places respectively. I am stuck however on a textbook problem that is as follows:

(14.84 x 0.55) - 8.02
the answer in the book states the final answer has 1 sig fig but I keep coming up with two since there are two decimal places in the subtraction portion and two sig figs in the multiplication portion

my work is as follows:
14.84 x 0.55 = 8.162 and 8.162 - 8.02 = 0.142 which lead me to calculate my final answer as 0.14 however in the book the correct answer is 0.1
it says it's because in 8.162 has only one known decimal place but I am confused because if it had one known decimal place shouldn't it read 8.16 making the 2 unknown. How am I supposed to know that the significance ends at 8.1 and not 8.16? please help me!!!

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