Multiplication & Division with Significant Figures

# Multiplication & Division with Significant Figures Video Lecture | Physics Class 11 - NEET

## Physics Class 11

118 videos|470 docs|189 tests

## FAQs on Multiplication & Division with Significant Figures Video Lecture - Physics Class 11 - NEET

 1. What are significant figures and why are they important in multiplication and division?
Ans. Significant figures are the digits in a number that carry meaningful information about its precision. They indicate the certainty of a measurement or calculation. In multiplication and division, the result should have the same number of significant figures as the least precise number involved in the calculation. This ensures that the result is not expressed with more precision than the original data.
 2. How do you determine the number of significant figures in a multiplication or division problem?
Ans. To determine the number of significant figures in a multiplication or division problem, count the number of significant figures in each number being multiplied or divided. The result should have the same number of significant figures as the number with the least significant figures. For example, if you multiply 2.5 (two significant figures) by 3.14 (three significant figures), the result should be rounded to two significant figures.
 3. What is the rule for rounding the result of a multiplication or division calculation with significant figures?
Ans. When rounding the result of a multiplication or division calculation with significant figures, follow the rule that states: if the digit to be removed is less than 5, round down (decrease the value of the preceding digit), and if the digit to be removed is 5 or greater, round up (increase the value of the preceding digit). For example, if the result of a calculation is 6.75 and you need to round it to two significant figures, the rounded answer would be 6.8.
 4. Can the number of significant figures in the multiplicand or divisor affect the result of a multiplication or division calculation?
Ans. Yes, the number of significant figures in the multiplicand or divisor can affect the result of a multiplication or division calculation. If a number with fewer significant figures is multiplied or divided by a number with more significant figures, the result will be limited by the number with fewer significant figures. This is because the least precise number determines the precision of the final result.
 5. How do you handle multiplication or division calculations involving numbers with different powers of 10?
Ans. When performing multiplication or division calculations involving numbers with different powers of 10, it is important to adjust the powers of 10 before carrying out the calculation. This can be done by converting the numbers to scientific notation and then applying the rules of multiplication or division. After obtaining the result, the final answer should be expressed in scientific notation again, if necessary, with the correct number of significant figures.

## Physics Class 11

118 videos|470 docs|189 tests

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