Subtract 2.5 x 10⁴ from 3.9 x 10⁵ with due regard to significant figures.
Correct Answer :
3.7 x 10⁵
Solution :
The correct option is 3.7 x 10���.
To subtract the given numbers, we must first express both numbers with the same power of 10. Let us convert them so that they both have an exponent of 5:
and
Now, perform the subtraction:
According to the rules for significant figures in subtraction, the final result must be rounded to the same number of decimal places as the term with the fewest decimal places (when both terms share the same exponent).
Looking at our terms:
- has 1 decimal place.
- has 2 decimal places.
Since the minimum number of decimal places is 1, the result must be rounded to 1 decimal place (the tenths place). Rounding to one decimal place yields .
Therefore, the final answer with due regard to significant figures is:
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