Round off the following quantities to the number of significant figures indicated in parentheses. (c) 4.995⨉10³ cm (3)

검증된 단계별 안내

Identify the number of significant figures required, which is 3 in this case.

Look at the given number: \(4.995 \times 10^3\) cm.

Focus on the digits in the coefficient (4.995) since the power of ten does not affect significant figures.

Round the coefficient 4.995 to 3 significant figures. To do this, look at the fourth digit (5) to decide whether to round up or down.

Since the fourth digit is 5, round the third digit up, resulting in the rounded number.

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 scientific contexts.

Rounding Rules

Rounding rules dictate how to adjust numbers to the desired level of precision. When rounding, if the digit to the right of the last significant figure is less than 5, the last significant figure remains unchanged. If it is 5 or greater, the last significant figure is increased by one. These rules ensure that the rounded number reflects the appropriate level of accuracy.

Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small in a compact form, using powers of ten. A number is written as a product of a coefficient (between 1 and 10) and a power of ten. This notation simplifies calculations and helps maintain significant figures, especially in measurements like 4.995⨉10^3 cm.

Round off the following quantities to the number of significant figures indicated in parentheses. (c) 4.995⨉103 cm (3)