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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
All textbooksLial 13th EditionCh. R - Review of Basic ConceptsProblem 88
Chapter 1, Problem 88

Write each decimal as a fraction. (Do not write in lowest terms.) 0.104

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1
Identify the place value of the last digit in the decimal 0.104. Here, the digit 4 is in the thousandths place.
Write the decimal as a fraction with the decimal digits as the numerator and the place value as the denominator. So, 0.104 can be written as \(\frac{104}{1000}\).
Since the problem states not to simplify, leave the fraction as \(\frac{104}{1000}\) without reducing it.
Verify that the fraction correctly represents the decimal by considering the denominator (1000) and the numerator (104).
Conclude that the decimal 0.104 is expressed as the fraction \(\frac{104}{1000}\) without simplifying.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Decimal to Fraction Conversion

Converting a decimal to a fraction involves expressing the decimal number as a ratio of two integers. For example, the decimal 0.104 can be written as 104 over 1000 because it has three digits after the decimal point, representing thousandths.
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Place Value in Decimals

Understanding place value is essential to convert decimals to fractions. Each digit after the decimal point represents tenths, hundredths, thousandths, etc. In 0.104, the '1' is in the tenths place, '0' in the hundredths, and '4' in the thousandths place.
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Fraction Representation Without Simplification

The problem specifies not to simplify the fraction, meaning the fraction should be written directly from the decimal without reducing it to lowest terms. This helps in understanding the direct relationship between decimals and their fractional equivalents.
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