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Question
state the number of significant digits and the implied precision of the given number.
1.295×10⁴ s
the number 1.295×10⁴ has significant digit(s). (type a whole number.)
what is the implied precision of the number 1.295×10⁴ s?
a. the number is precise to the nearest hundred seconds.
b. the number is precise to the nearest thousand seconds.
c. the number is precise to the nearest second.
d. the number is precise to the nearest ten seconds.
Step1: Identify significant digits
Non - zero digits and zeros between non - zero digits are significant. In $1.295\times10^{4}$, the digits 1, 2, 9, 5 are significant. So there are 4 significant digits.
Step2: Determine implied precision
The number $1.295\times10^{4}=12950$. The last significant digit 5 is in the tens place. So the number is precise to the nearest ten seconds.
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The number $1.295\times 10^{4}$ has 4 significant digit(s).
D. The number is precise to the nearest ten seconds.