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Chapter 5: Problem 125

Explain how to convert from scientific to decimal notation and give an example.

Short Answer

Expert verified
To convert from scientific to decimal notation, move the decimal point to the right if the exponent of 10 is positive or to the left if it's negative. The number of places you move is equal to the absolute value of the exponent. For example, \( 3.5 \times 10^3 \) in decimal notation is 3500.

Step by step solution

01

Understand Scientific Notation

Scientific notation is a way to express very large or very small numbers. A number in scientific notation is represented as \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.
02

Convert from Scientific to Decimal Notation

When the exponent of 10 is positive, you move the decimal point to the right, while if the exponent is negative, you move the decimal point to the left. The number of places you move is equal to the absolute value of the exponent.
03

Example of Conversion

Let's take an example. Convert \( 3.5 \times 10^3 \) to decimal notation. Since the exponent is 3, you move the decimal point 3 places to the right. So, it becomes 3500.

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