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Addition & Subtraction with Significant Figures Video Lecture | Physics and Measurement for NEET

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FAQs on Addition & Subtraction with Significant Figures Video Lecture - Physics and Measurement for NEET

1. What are significant figures and why are they important in addition and subtraction calculations?
Ans. Significant figures are the digits in a number that carry meaning in terms of accuracy and precision. They indicate the certainty of a measurement or calculation. In addition and subtraction calculations, it is important to consider significant figures because the result should have the same degree of precision as the least precise value involved in the calculation.
2. How do you determine the number of significant figures in a value or measurement?
Ans. To determine the number of significant figures in a value or measurement, follow these rules: - Non-zero digits are always significant. - Any zeros between two significant digits are significant. - Leading zeros (zeros before the first non-zero digit) are not significant. - Trailing zeros (zeros after the last non-zero digit) are significant if there is a decimal point present. If there is no decimal point, they may or may not be significant depending on the context.
3. Can you explain how to perform addition and subtraction calculations with significant figures?
Ans. When performing addition and subtraction calculations with significant figures, the result should be rounded to the least number of decimal places among the given values. Follow these steps: - Line up the decimal points of the numbers being added or subtracted. - Perform the calculation. - Round the result to the least number of decimal places among the given values.
4. What should be done if the number of decimal places in the values being added or subtracted is different?
Ans. If the number of decimal places in the values being added or subtracted is different, you should adjust the values to have the same number of decimal places before performing the calculation. Add or subtract zeros as necessary to align the decimal points, and then proceed with the addition or subtraction calculation.
5. Are there any instances where significant figures are not used in addition and subtraction calculations?
Ans. Yes, there are certain instances where significant figures may not be used in addition and subtraction calculations. These instances include: - When working with exact numbers, such as counting objects or defined constants, where the values have infinite significant figures. - When performing calculations with integers, as they are considered to have an infinite number of significant figures. - When the precision of the result is not important or when the values being added or subtracted have very different magnitudes, making the precision irrelevant.
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