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Chapter 5: Problem 151

Describe one advantage of expressing a number in scientific notation over decimal notation.

Short Answer

Expert verified
One advantage of expressing a number in scientific notation over decimal notation is that it simplifies working with very large or very small numbers, making them easier to write, read, and comprehend.

Step by step solution

01

Understand the concept of scientific notation

Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It's represented by \(a \times 10^n\) where \(1鈮� |a| < 10\) and \(n\) represents the number of places the decimal point has been moved.
02

Reflect on the advantage of scientific notation over decimal notation

Think about how it would be to handle numbers that are extremely large, like the number of molecules in a mole (Avogadro's Number: \(6.022 \times 10^{23}\)) or extremely small, like the size of an atom (\(1 \times 10^{-10}\) meters). Imagine trying to accurately write, read, and perform calculations with these numbers in standard decimal form.
03

Write down the advantage

One of the main advantages of scientific notation is that it simplifies working with very large or very small numbers, making these easier to write, read, and comprehend. Otherwise, in decimal notation, we would need to work with a not practical large amount of digits for extremely large or small numbers.

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