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Chapter 0: Problem 126

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 in the form of \( a \times 10^n \), where \(1 \leq |a| < 10\) and \( n \) is an integer.

Step by step solution

01

Recognizing Scientific Notation

Scientific notation is a method used to write very large or very small numbers which may be tedious or time-consuming to write down fully. It would typically look like this: \( a \times 10^n \).
02

Breakdown of Scientific Notation

In the scientific notation, \( a \) is any real number in the range of \(1 \leq |a| < 10\), and \( n \) is an integer.
03

Applying Understanding

A number is written in scientific notation if it follows this standard form. For instance, the number 300 can be written as \( 3 \times 10^2 \) in scientific notation.

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