Problem 74
Question
Write each number in decimal notation without the use of exponents. $$-3.14 \times 10^{-3}$$
Step-by-Step Solution
Verified Answer
The decimal notation of \(-3.14 \times 10^{-3}\) is -0.00314.
1Step 1: 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.
2Step 2: 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.
3Step 3: Write the final answer
The final answer, after moving the decimal place three spots to the left, is -0.00314.
Other exercises in this chapter
Problem 74
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Factor completely, or state that the polynomial is prime. $$ x^{3}-4 x $$
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