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Chapter 0: Problem 67

Write each number in decimal notation without the use of exponents. $$6 \times 10^{-4}$$

Short Answer

Expert verified
The decimal notation of the number \(6 \times 10^{-4}\) is 0.0006.

Step by step solution

01

Understand the Numerical Expression

The given expression is \(6 \times 10^{-4}\). This is put in scientific notation, a method sometimes used to write very large or small numbers easily. Here, the base number 6 is multiplied by 10 raised to the power of -4.
02

Understand the Negative Exponent

In the expression, the exponent -4 implies that the decimal point should move to the left by 4 places from it's original position (which is at the end of the number 6). If there aren't enough numbers, simply add zeros.
03

Apply the Decimal Shift

Shifting the decimal point 4 places to the left from the end of the base number, we get 0.0006.

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