Questions: 7. Express each of the following numbers in standard scientific notation. a. 0.5012

7. Express each of the following numbers in standard scientific notation. a. 0.5012
Transcript text: 7. Express each of the following numbers in standard scientific notation. a. 0.5012
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Solution

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Solution Steps

To express a number in standard scientific notation, we need to rewrite it as a product of a number between 1 and 10 and a power of 10. For the number 0.5012, we move the decimal point to the right until we have a number between 1 and 10, and then count the number of places moved to determine the power of 10.

Step 1: Identify the Number to Convert

We start with the number \(0.5012\).

Step 2: Convert to Scientific Notation

To express \(0.5012\) in scientific notation, we need to move the decimal point to the right until the number is between 1 and 10. This gives us \(5.012\).

Step 3: Determine the Exponent

Since we moved the decimal point one place to the right, the exponent for the power of 10 is \(-1\).

Final Answer

The number \(0.5012\) in scientific notation is \(\boxed{5.012 \times 10^{-1}}\).

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