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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 number \(7.9 \times 10^{-1}\) written in decimal notation is \(0.79\).

Step by step solution

01

Understand Scientific Notation

In the given expression \(7.9 \times 10^{-1}\), the number is written in scientific notation. Here, \(7.9\) is the coefficient and \(-1\) is the exponent. The exponent represents the number of times the decimal point of the coefficient must be moved.
02

Decide the direction to move the decimal point

Since the exponent is negative (\(-1\)), we need to shift the decimal point of the coefficient (\(7.9\)) one place to the left.
03

Rewrite the number in Decimal Notation

When moving the decimal point of \(7.9\) one place to the left, we get \(0.79\) as the number in decimal notation.

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Most popular questions from this chapter

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 80 years. Round the decimal factor in your scientific notation answer to two decimal places.

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

Fill in each box to make the statement true. $$\sqrt{x}=5 x^{7}$$

Simplify using properties of exponents. $$\left(25 x^{4} y^{6}\right)^{\frac{1}{2}}$$

Evaluate each expression without using a calculator. $$16^{-\frac{5}{2}}$$
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