Is the following sentence true or false?
An answear is as precise as the most precise measurement from which it was calculated.
My Answear: True
Round the following measurements as indicated
1)Round 65.145 meters to 4SF (69.145)
2)Round 100.1 to 1SF (100.2)
No. An answer is as precise as the LEAST precise measurement from which it was calculated.
65.145 would be rounded to four places and it depends upon how you have been taught to round a terminal 5. I round to the "even" number, so I would round to 65.14. [65.135 would round to 65.14 if we round to the "even" number." (Your answer of 65.145 didn't round at all. You kept 5 places.)
100.1 to 1 sf would be 1 x 10^2. Your answer of 100.2 has 4 s.f.
I apologize for any confusion in my previous response. Thank you for bringing it to my attention.
To address your statement, "An answer is as precise as the most precise measurement from which it was calculated," it is actually not true. The correct statement is that "An answer is as precise as the least precise measurement from which it was calculated." This means that when performing calculations or rounding, the level of precision of the final answer should reflect the least precise measurement involved.
Regarding the rounding examples you provided:
1) To round 65.145 meters to 4 significant figures (SF), we start counting from the leftmost non-zero digit. In this case, it is 6. Therefore, the correct rounded value would be 65.15, as the next digit (4) is greater than 5.
2) To round 100.1 to 1 SF, we only consider the first digit. Since 1 is less than 5, the correct rounded value would be 100.
I hope this clarifies the concept of precision and rounding for you. Let me know if you have any further questions!