Express the results of the following calculations with the correct number of significant figures. (f) 5.7 * 2.31

검증된 단계별 안내

Identify the number of significant figures in each number: 5.7 has 2 significant figures, and 2.31 has 3 significant figures.

When multiplying numbers, the result should have the same number of significant figures as the number with the fewest significant figures.

In this case, the number with the fewest significant figures is 5.7, which has 2 significant figures.

Perform the multiplication: 5.7 \(\times\) 2.31.

Round the result to 2 significant figures, as determined in step 2.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and calculations in chemistry, as it reflects the precision of the data.

Multiplication and Division Rules

When performing multiplication or division, the result should be expressed with the same number of significant figures as the measurement with the least number of significant figures. This rule ensures that the precision of the result is not overstated, maintaining the integrity of the data derived from the least precise measurement.

Rounding Rules

Rounding rules dictate how to adjust numbers to reflect the correct number of significant figures. If the digit to be dropped is less than 5, the last retained digit remains unchanged; if it is 5 or greater, the last retained digit is increased by one. Proper rounding is essential to ensure that the final answer is both accurate and appropriately precise.