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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 the Exponent

The given exponential notation is \(-4.15 \times 10^{-3}\). Here, the exponent \(-3\) indicates that we will move the decimal place three positions to the left because of the negative sign, as moving to the left is associated with negative exponents.
02

Shifting the Decimal

Move the decimal place in -4.15 three places to the left. While moving, if there are not enough digits to the left of the decimal, zeros can be added as placeholders.
03

Writing the Answer

On moving the decimal place three places to the left on -4.15, we find that the decimal notation of \(-4.15 \times 10^{-3}\) is -0.00415

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