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Chapter 0: Problem 74

Write each number in decimal notation without the use of exponents. $$-3.14 \times 10^{-3}$$

Short Answer

Expert verified
The decimal notation of \(-3.14 \times 10^{-3}\) is -0.00314.

Step by step solution

01

Identify the direction of decimal movement based on exponent

The exponent is -3. A negative exponent means that the decimal point has to be moved to the left by the number of places equal to the absolute value of the exponent, which is 3 in this case.
02

Perform the decimal movement

The original number is -3.14. Following the rule from step 1, move the decimal place three spots to the left. Initially there aren't enough spots, so zeroes are added to fill in the gaps: -0.00314.
03

Write the final answer

The final answer, after moving the decimal place three spots to the left, is -0.00314.

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$7^{\frac{1}{2}} \cdot 7^{\frac{1}{2}}=49$$

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