This is false. (I got this question on my test.)
False
In addition and subtraction, the retention of significant figures is determined by the precision of the numbers involved. The result should be reported to the same number of decimal places as the measurement with the least decimal places. For example, if you add 12.11 (two decimal places) and 0.3 (one decimal place), the result should be expressed as 12.4, maintaining one decimal place. This approach ensures that the uncertainty in the least precise measurement is reflected in the final answer.
The measurement 102.400 m has six significant figures. All non-zero digits are significant, and zeros between significant digits or following a decimal point in a measurement are also counted as significant. In this case, the zeros after the "2" and before the decimal point are significant because they indicate precision.
When performing addition, the result should be reported with the same number of decimal places as the measurement with the fewest decimal places. The number 8.52010 has five decimal places, while 1.93 has two. Therefore, the result should be rounded to two decimal places, leading to a final answer of 10.45, which has four significant figures.
There are 5 significant figures in this measurement.
The statement is false.
When performing calculations involving significant figures in both multiplication and addition operations, ensure accuracy by following these steps: For multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. For addition and subtraction, the result should be rounded to the same decimal place as the measurement with the fewest decimal places. By applying these rules, you can maintain the accuracy of your calculations involving significant figures.
False
When performing addition and subtraction operations with measurements of different significant figures, the result should be rounded to the same number of decimal places as the measurement with the fewest significant figures.
the decimal place in the quotient or product should be based in the decimal place of the given with the least significant figures
Significant figures represent the precision of a measurement, including all certain digits and one uncertain digit. Decimal places indicate the number of digits to the right of the decimal point. Significant figures are based on the accuracy of the measurement, while decimal places are based on the scale of the number.
When adding or subtracting numbers, the result should have the same number of decimal places as the least number of decimal places in the original numbers. This is because in these operations, you are limited by the least precise measurement. Significance figures don't matter in addition or subtraction, only decimal places.
When adding or subtracting measurements, the result should have the same number of decimal places as the measurement with the fewest decimal places. When multiplying or dividing measurements, the result should have the same number of significant figures as the measurement with the fewest significant figures.
When adding or multiplying numbers, the result should have the same number of decimal places as the number with the fewest decimal places. For addition, the result should have the same number of significant figures as the number with the fewest significant figures. For multiplication, the result should have the same number of significant figures as the number with the fewest significant figures.
4 significant figures.Zeros are significant if they are between two non-zero numbers, or if they are "trailing" zeros in a number with a decimal point.Eg.0.000047 = 2 significant figures4.7000 = 5 significant figures
The precision of a measurement can be determined by the number of significant figures or decimal places in the measured value. A measurement with more significant figures or decimal places is considered more precise. Additionally, repeated measurements that yield similar results indicate a higher level of precision.
There are three. The 4, the 5 and the zero in between. The two last zeros serve only to properly space the decimal point which, in this number, is implied.