Write each decimal as a fraction. (Do not write in lowest terms.) 0.6
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Exponents
Problem 86
Textbook Question
Write each decimal as a fraction. (Do not write in lowest terms.) 0.82
Verified step by step guidance1
Identify the place value of the decimal. Since 0.82 has two digits after the decimal point, it is in the hundredths place.
Write the decimal as a fraction with the decimal digits as the numerator and 100 as the denominator: \(\frac{82}{100}\).
Note that the problem asks not to simplify the fraction, so leave it as \(\frac{82}{100}\) without reducing.
Express the fraction clearly as the final answer in fraction form: \(\frac{82}{100}\).
Review the process: converting a decimal to a fraction involves using the place value of the last digit to determine the denominator and writing the digits as the numerator.
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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
This concept involves expressing a decimal number as a fraction by identifying the place value of the decimal digits. For example, 0.82 means 82 hundredths, which can be written as 82/100.
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Place Value in Decimals
Understanding place value is crucial for converting decimals to fractions. Each digit after the decimal point represents tenths, hundredths, thousandths, etc., which determines the denominator of the fraction.
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Fraction Notation 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 fractions.
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