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Chapter 5: Problem 16

Write each fraction or mixed number as a decimal. $$-\frac{19}{500}$$

Short Answer

Expert verified
-0.038

Step by step solution

01

Understand the Fraction

The given fraction is \(-\frac{19}{500}\). Remember that a fraction represents division of the numerator by the denominator.
02

Perform the Division

Divide the numerator -19 by the denominator 500 using long division or a calculator. \(\frac{-19}{500} = -0.038\)
03

Convert to Decimal

Write the result from the division as a decimal number. The outcome from Step 2 gives us \(-0.038\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Fractions
A fraction is a way to represent a part of a whole. It is written in the form \(\frac{a}{b}\), where \(a\) is the numerator and \(b\) is the denominator. The numerator tells us how many parts we have, while the denominator tells us how many equal parts the whole is divided into.
Decimal Representation
Decimals are another way of expressing numbers that are not whole. They are based on dividing by powers of 10. For example, 0.1 means one-tenth and 0.01 means one-hundredth. Converting a fraction to a decimal involves performing the division of the numerator by the denominator.
Division in Fraction to Decimal Conversion
To convert a fraction to a decimal, you perform division. For the fraction \(\frac{19}{500}\), divide 19 by 500. You can use long division or a calculator for this. The result of \(\frac{19}{500}\) is 0.038. Since the original fraction was negative, the decimal form will be -0.038.

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Most popular questions from this chapter

Todd is establishing his beneficiaries for his life insurance policy. The policy is for \(\$ 150,000.00\) and \(\frac{1}{2}\) will go to his daughter, \(\frac{3}{8}\) will go to his stepson, and the rest will go to his grandson. What dollar amount will go to the grandson?

A snail moves at a rate of about 0.00362005 miles per hour. Round the decimal value to the ten-thousandths place.

What is the least number with three places to the right of the decimal that can be created with the digits 2, 9, and 7? Assume that the digits cannot be repeated.

Solve the application. Check to see if your answers are reasonable. Ty Cobb was at bat 11,434 times and had 4189 hits, giving him the all-time best batting average. Find his average. Round to the thousandths place.

The batting averages for five legends are given in the table. Rank the players' batting averages from lowest to highest. (Source: Baseball Almanac) $$\begin{array}{|l|l|} \hline \text { Player } & \text { Average } \\ \hline \text { Joe Jackson } & 0.3558 \\ \hline \text { Ty Cobb } & 0.3664 \\ \hline \text { Lefty O'Doul } & 0.3493 \\ \hline \text { Ted Williams } & 0.3444 \\ \hline \text { Rogers Hornsby } & 0.3585 \\ \hline \end{array}$$
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