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Select the correct scientific notation for 150,000,000 km.

A. 150 x 10⁶ km
B. 15 x 10⁷ km
C. 1.5 x 10⁸ km
D. 0.15 x 10⁹ km

1 Answer

5 votes

Final answer:

The scientific notation for 150,000,000 km is 1.5 x 10^8 km, which corresponds to Option C.

Step-by-step explanation:

Understanding Scientific Notation

Scientific notation is a method used to express very large or very small numbers in a more manageable form. It involves writing numbers as a product of a coefficient (a number between 1 and 10) and a power of 10. For example, to convert the number 150,000,000 to scientific notation,

we find the coefficient by placing the decimal after the first non-zero digit, making it 1.5. Then, we count how many places we need to move the decimal to the right to get back to the original number, which is 8. Hence, the number 150,000,000 can be written as 1.5 x 10⁸ km.

The correct scientific notation for 150,000,000 km is Option C: 1.5 x 10⁸ km.

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