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Chapter 0: Problem 73

Write each number in decimal notation without the use of exponents. $$-4.15 \times 10^{-3}$$

Short Answer

Expert verified
-0.00415

Step by step solution

01

Understanding scientific notation

Scientific notation is a way to express very large or very small numbers. A number written in scientific notation is written as a product of a number (between 1 and 10) and a power of 10. The number provided is -4.15, and it is multiplied by \(10^{-3}\). This negative exponent means that the decimal point should be moved 3 places to the left.
02

Move the decimal point

The current position of the decimal point is between the digits 4 and 1. To convert this into a pure decimal number we move the decimal point 3 places to the left. Since there aren鈥檛 enough numbers on the left, you fill the empty places with zeros.
03

Write the final answer

After moving 3 places to the left, the decimal is before the first zero. Thus, the final answer is -0.00415.

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