Write each of the following in scientific notation:
d. 360 000

검증된 단계별 안내

Identify the significant digits in the number. For 360,000, the significant digits are '36'.

Determine the power of 10 needed to express the number in scientific notation. Count the number of places the decimal point would need to move to the left to position it after the first significant digit. In this case, the decimal point moves 5 places.

Write the number in the form

a \times 10^{n}

, where

a

is a number between 1 and 10, and

n

is the power of 10. For 360,000,

a

is 3.6 and

n

is 5.

Combine the significant digits and the power of 10 to express the number in scientific notation. The result is

3.6 \times 10^{5}

Verify the result by converting the scientific notation back to standard form to ensure it matches the original number, 360,000.

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.

Scientific Notation

Scientific notation is a method of expressing numbers that are too large or too small in a compact form. It is typically written as a product of a number between 1 and 10 and a power of ten. For example, the number 360,000 can be expressed as 3.6 x 10^5 in scientific notation.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. In scientific notation, the significant figures are represented in the coefficient (the number between 1 and 10). For 360,000, if we consider it to have three significant figures, it would be written as 3.60 x 10^5.

Powers of Ten

Powers of ten are used in scientific notation to indicate the scale of the number. Each power of ten represents a factor of ten multiplied by itself. For instance, 10^5 means 10 multiplied by itself five times, which equals 100,000, helping to place the decimal point correctly in scientific notation.

Write each of the following in scientific notation:d. 360 000