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Chapter 0: Problem 71

Write each number in decimal notation without the use of exponents. $$7.9 \times 10^{-1}$$

Short Answer

Expert verified
The decimal notation of \(7.9 \times 10^{-1}\) without using exponents is 0.79.

Step by step solution

01

Identify the Elements

Recognize that in the term \(7.9 \times 10^{-1}\), 7.9 is the coefficient and -1 is the exponent.
02

Understand Negative Exponents

A negative exponent implies division by the base, not multiplication. Thus, \(10^{-1}\) is equivalent to \(1/10\).
03

Apply the Exponent鈥檚 Effect

To convert a number from scientific notation to decimal notation, you shift the decimal point in the coefficient to the left or right as many places as signified by the exponent. Because we have a -1 exponent, we move the decimal point in 7.9 one place to the left. So, \(7.9 \times 10^{-1}\) becomes 0.79.

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Most popular questions from this chapter

Give an example of a rational number that is not an integer.

$$\text { Factor completely.}$$ $$x^{4}-5 x^{2} y^{2}+4 y^{4}$$

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\\{-7,-0 . \overline{6}, 0, \sqrt{49}, \sqrt{50}\\}$$

Simplify and express the answer in descending powers of \(x\) : $$2 x\left(x^{2}+4 x+5\right)+3\left(x^{2}+4 x+5\right)$$

This will help you prepare for the material covered in the next section. a. Simplify: \(21 x+10 x\) b. Simplify: \(21 \sqrt{2}+10 \sqrt{2}\)
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