Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:59 minutes

Problem 131

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) ?Decimal 0.05Percent 5%

Verified step by step guidance

Step 1: Understand the relationship between fractions, decimals, and percentages. A decimal can be converted to a fraction by considering its place value, and a percentage is simply a fraction out of 100.

Step 2: Start with the given decimal, 0.05. Recognize that 0.05 is equivalent to 5/100 because the decimal 0.05 means 5 hundredths.

Step 3: Simplify the fraction 5/100 to its lowest terms. To do this, find the greatest common divisor (GCD) of 5 and 100, which is 5.

Step 4: Divide both the numerator and the denominator of the fraction 5/100 by their GCD, which is 5. This will simplify the fraction to its lowest terms.

Step 5: Verify that the simplified fraction is equivalent to the original decimal and percent. The fraction should match the decimal 0.05 and the percent 5%.

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Key Concepts

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

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, with the numerator (top number) indicating how many parts are taken and the denominator (bottom number) showing the total number of equal parts. To express a fraction in its lowest terms, one must divide both the numerator and denominator by their greatest common divisor (GCD).

Decimals

Decimals are another way to represent fractions, particularly those with denominators that are powers of ten. A decimal is written with a decimal point separating the whole number part from the fractional part. For example, the decimal 0.05 represents 5/100, which can also be simplified to 1/20.

Percentages

A percentage is a way of expressing a number as a fraction of 100, denoted by the symbol '%'. To convert a decimal to a percentage, one multiplies the decimal by 100. For instance, the decimal 0.05 is equivalent to 5%, indicating that it represents 5 out of every 100 parts.

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7:39m