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The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures is
- a)663.821
- b)663.8
- c)664
- d)663.82
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The sum of the numbers 436.32, 227.2 and 0.301 in appropriate signific...
The result of an addition or subtraction in the number having different precisions should be reported to the same number of decimal places as present in the number having the least number of decimal places.
The final result should, therefore, be rounded off to one decimal place, i.e. 663.8
Most Upvoted Answer
The sum of the numbers 436.32, 227.2 and 0.301 in appropriate signific...
Significant figuresThe rules for significant figures are as follows:- All non-zero digits are significant.- Zeros between non-zero digits are significant.- Leading zeros are not significant.- Trailing zeros are significant if there is a decimal point.Calculating the sumTo calculate the sum of the given numbers in appropriate significant figures, we need to follow the rules of significant figures. - 436.32 has five significant figures.- 227.2 has four significant figures.- 0.301 has three significant figures.We can add the numbers as usual, but then we need to round the result to the appropriate number of significant figures. - 436.32 + 227.2 + 0.301 = 663.821- The least precise number in the sum is 0.301, which has three significant figures.- Therefore, we need to round the sum to three significant figures.- The third significant figure is 3, which is less than 5, so we round down.- Therefore, the sum in appropriate significant figures is 664.AnswerTherefore, the correct answer is option c) 664.
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The sum of the numbers 436.32, 227.2 and 0.301 in appropriate signific...
663.821
option a
option a
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