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Chapter 0: Problem 129

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

Short Answer

Expert verified
To convert a number from scientific to decimal notation, move the decimal point in the number part the number of places equivalent to the absolute value of the power of 10. Move it to the right if the power is positive, or to the left if it's negative. For instance, \(4.5 脳 10^3\) is '4500' in decimal notation.

Step by step solution

01

Understanding Scientific Notation

Scientific notation is a way of expressing numbers, particularly very large or very small numbers. The format is \(a 脳 10^n\), where \(a\) is a number greater than or equal to 1 and less than 10, and \(n\) is an integer.
02

Converting To Decimal Notation

To convert from scientific to decimal notation, move the decimal point in \(a\) to the right if \(n\) is positive or to the left if \(n\) is negative. The number of places you move is equal to the absolute value of \(n\).
03

Example

Let's take an example, \(4.5 脳 10^3\). As \(n\) is positive and equivalent to 3, move the decimal point in \(4.5\) three places to the right. If there aren't enough digits after the decimal point, fill in with zeros. Therefore, the result is '4500'

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Most popular questions from this chapter

What is a perfect square trinomial and how is it factored?

Fill in each box to make the statement true. Place the correct symbol, \(>\) or \(<,\) in the shaded area between the given numbers. Do not use a calculator. Then check your result with a calculator. a. \(3^{\frac{1}{2}} 3^{\frac{1}{3}}\) b. \(\sqrt{7}+\sqrt{18} \quad \sqrt{7+18}\)

Factor and simplify each algebraic expression. $$\left(x^{2}+3\right)^{-\frac{2}{3}}+\left(x^{2}+3\right)^{-\frac{5}{3}}$$

$$\text { factor completely.}$$ $$(x-5)^{-\frac{1}{2}}(x+5)^{-\frac{1}{2}}-(x+5)^{\frac{1}{2}}(x-5)^{-\frac{3}{2}}$$

Rewrite each expression without absolute value bars. $$|300|$$
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