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Chapter 0: Problem 85

Write each number in scientific notation. $$-0.00000000504$$

Short Answer

Expert verified
The scientific notation of \(-0.00000000504\) is \(-5.04 \times 10^{-9}\)

Step by step solution

01

Identify the Decimal Point

Find where the decimal point is in the number \(-0.00000000504\). In scientific notation, the decimal point should be after the first non-zero number.
02

Determine the Exponent

Count how many places the decimal point must move in order to be after the first non-zero number. In this case, the decimal point moves 9 places to the right. Since the original number is less than 1, the exponent in the scientific notation will be \(-9\). The exponent is negative because we are dealing with a number less than 1.
03

Write Down the Result

The decimal point is moved to the right until it is positioned after the first nonzero digit. The number of places moved is then noted as a power of 10 and this forms the scientific notation of the number. The negative sign in this case doesn鈥檛 affect the conversion process but it remains part of the number.

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