High School

Which choice correctly expresses the number below in scientific notation?

145,000

A. \(14.5 \times 10^4\)

B. \(1.45 \times 10^5\)

C. \(1.45 \times 10^6\)

D. \(145 \times 10^3\)

E. \(145 \times 10^5\)

F. \(1.45 \times 10^4\)

Answer :

Final answer:

The number 145,000 correctly expressed in scientific notation is 1.45 × 10⁵, which corresponds to option C from the provided choices.

Explanation:

The correct way to express the number 145,000 in scientific notation is 1.45 × 10⁵. Scientific notation requires the number to be written as a product of a number between 1 and 10, and a power of 10. Since we are moving the decimal point five places to the left to get the number between 1 and 10 (1.45), the exponent for the 10 is 5. Therefore, option C, which is 1.45 × 10⁵, is the correct choice for expressing 145,000 in scientific notation.

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