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Chapter 0: Problem 78

Write each number in scientific notation. $$64,000$$

Short Answer

Expert verified
The number \(64,000\) in scientific notation is \(6.4 \times 10^4\).

Step by step solution

01

Identifying the decimal number

64,000 can be written as \(6.4 \times 10,000\). Therefore, 6.4 will be the decimal number in the scientific notation.
02

Identifying the power of 10

In scientific notation, 64,000 can be expressed as \(6.4 \times 10^4\), thus \(10^4\) is the power of 10. We get this by counting the number of places we move the decimal place from the end of the number (64,000), to the position right after the first digit (6.4). The number of places is 4, therefore, we have \(10^4\).
03

Writing the number in scientific notation

The number 64,000, can be written as \(6.4 \times 10^4\) in scientific notation. This fulfills the condition that the decimal part is between 1 and 10, and the other part is a power of 10.

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