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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1:18 minutes

Problem 129

Textbook Question

Complete the table of fraction, decimal and percent equivalents.Fraction in lowest terms(or Whole Number) 1/100 Decimal 0.01Percent ?

Verified step by step guidance

Step 1: Understand the relationship between fractions, decimals, and percentages. A fraction can be converted to a decimal by dividing the numerator by the denominator. A decimal can be converted to a percentage by multiplying it by 100.

Step 2: You are given the fraction \( \frac{1}{100} \) and its decimal equivalent 0.01.

Step 3: To convert the decimal 0.01 to a percentage, multiply it by 100.

Step 4: Set up the multiplication: \( 0.01 \times 100 \).

Step 5: Simplify the multiplication to find the percentage equivalent.

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Key Concepts

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

Fraction Basics

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) indicating the total number of equal parts. Understanding fractions is essential for converting them into other forms, such as decimals and percentages.

Decimal Representation

Decimals are another way to represent fractions, particularly those with denominators that are powers of ten. The decimal point separates the whole number part from the fractional part, allowing for a more straightforward interpretation of values. For example, the fraction 1/100 is represented as 0.01 in decimal form.

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, you multiply the decimal by 100. For instance, the decimal 0.01 corresponds to 1%, indicating that it represents one part out of a hundred.

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7:39m