By how many places must the decimal point be moved and in which direction to convert each of the following to ordinary decimal numbers show your work 4.311* 10 6 power

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 By how many places must the decimal point be moved and in which direction to convert each of the following to ordinary decimal numbers show your work

4.311* 10 6 power

Transcription for Educational Purposes:

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**Problem 9:**

By how many places must the decimal point be moved, and in which direction, to convert each of the following to “ordinary” decimal numbers?

a. \(4.311 \times 10^6\)  
b. \(7.895 \times 10^{-5}\)  
c. \(8.712 \times 10^1\)  
d. \(4.995 \times 10^0\)  
e. \(2.331 \times 10^{18}\)  
f. \(1.997 \times 10^{-16}\)  

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**Explanation:**

This problem involves converting numbers in scientific notation to standard decimal form. 

- For numbers with positive exponents, the decimal point is moved to the right.
- For numbers with negative exponents, the decimal point is moved to the left.

Each number specifies the necessary movements based on the power of ten. For instance, \(10^6\) indicates moving the decimal point 6 places to the right. Conversely, \(10^{-5}\) requires moving the decimal point 5 places to the left.
Transcribed Image Text:Transcription for Educational Purposes: --- **Problem 9:** By how many places must the decimal point be moved, and in which direction, to convert each of the following to “ordinary” decimal numbers? a. \(4.311 \times 10^6\) b. \(7.895 \times 10^{-5}\) c. \(8.712 \times 10^1\) d. \(4.995 \times 10^0\) e. \(2.331 \times 10^{18}\) f. \(1.997 \times 10^{-16}\) --- **Explanation:** This problem involves converting numbers in scientific notation to standard decimal form. - For numbers with positive exponents, the decimal point is moved to the right. - For numbers with negative exponents, the decimal point is moved to the left. Each number specifies the necessary movements based on the power of ten. For instance, \(10^6\) indicates moving the decimal point 6 places to the right. Conversely, \(10^{-5}\) requires moving the decimal point 5 places to the left.
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