Write each of the following in scientific notation with two significant figures:
d. 0.000 25 cm
검증된 단계별 안내
1
Identify the significant figures in the number 0.000 25 cm. Here, the significant figures are '25'.
To express the number in scientific notation, move the decimal point to the right until you have a number between 1 and 10. In this case, move the decimal point 4 places to the right to get 2.5.
Count the number of places you moved the decimal point. This will be the exponent of 10. Since you moved the decimal 4 places to the right, the exponent will be -4.
Combine the number from step 2 with the exponent from step 3 to express the number in scientific notation: 2.5 \(\times\) 10^{-4}.
Ensure that the number is expressed with two significant figures, which is already achieved with 2.5 in this case.
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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m
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주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Scientific Notation
Scientific notation is a method of expressing numbers that are too large or too small in a compact form. It is written as the product of a number between 1 and 10 and a power of ten. For example, 0.00025 can be expressed as 2.5 x 10^-4, where 2.5 is the significant figure and -4 indicates the decimal place shift.
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. In the case of 0.00025, the significant figures are '2' and '5', which means the number should be expressed in scientific notation with these two digits.
When converting a number to scientific notation, the decimal point is moved to create a new number between 1 and 10. The number of places the decimal is moved determines the exponent of ten. For 0.00025, moving the decimal four places to the right results in a negative exponent (-4), indicating the original number is less than one.