QuestionCalculate and round the result to the correct number of significant figures.
Studdy Solution
STEP 1
Assumptions1. We are performing a multiplication operation.
. The numbers given are0.085631 and1.32.
3. The answer needs to be expressed to the correct number of significant figures.
STEP 2
First, we need to identify the number of significant figures in each of the numbers given. The number of significant figures is the number of digits that carry meaning contributing to its measurement resolution.
For the first number,0.085631, all digits are significant because they are non-zero digits and they are not leading zeros. Therefore, there are6 significant figures.
For the second number,1.32, all digits are significant because they are non-zero digits. Therefore, there are significant figures.
STEP 3
When multiplying or dividing, the final result should have as many significant figures as the number with the least significant figures in the original problem. In this case, the number with the least significant figures is1.32, which has3 significant figures.
STEP 4
Now, perform the multiplication operation.
STEP 5
Calculate the result of the multiplication.
STEP 6
Now, we need to round the result to the correct number of significant figures. As mentioned in step3, our result should have3 significant figures.To do this, we look at the fourth digit after the decimal point. If this digit is5 or more, we round up the third digit. If it is less than5, we leave the third digit as it is.
In this case, the fourth digit is0, so we leave the third digit as it is.
STEP 7
Round the result to3 significant figures.
The result of the multiplication operation, expressed to the correct number of significant figures, is0.113.
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