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Chapter 5: Problem 148

How do you know if a number is written in scientific notation?

Short Answer

Expert verified
A number is in scientific notation if it's expressed as the product of a number between 1 (inclusive) and 10 (exclusive), and a power of 10.

Step by step solution

01

Identify the Format

Look for the specific format of a number written in scientific notation. The number should be in the form of \(a \times 10^n\), where \(1 \leq a < 10\) and \(n\) is an integer.
02

Check the First Factor

Ensure the first factor is a number greater than or equal to 1 but less than 10. This first number is called the coefficient. It can have any number of decimal places.
03

Look for Power of 10

The second factor must be a power of 10. This power can be negative or positive, indicating decimal places to the right or left respectively.
04

Verify the Format

If the number fits into the \(a \times 10^n\) mold with the rules above, then it is correctly written in scientific notation.

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