Textbook Question
Concept Check: By what number should the numerator and denominator of be multiplied in order to rationalize the denominator? Write this fraction with a rationalized denominator.
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Ch. R - Review of Basic Concepts
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
Chapter 1, Problem 157
Write each percent as a decimal. 2.4%
Verified step by step guidance1
Recall that to convert a percent to a decimal, you divide the percent value by 100.
Write the given percent as a fraction over 100: \(\frac{2.4}{100}\).
Perform the division by moving the decimal point two places to the left.
Express the result as a decimal number.
Verify that the decimal is less than 1 since the original percent is less than 100%.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Understanding Percentages
A percentage represents a part out of 100. It is a way to express ratios or fractions with a denominator of 100. For example, 2.4% means 2.4 parts out of 100.
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Introduction to Polynomial Functions
Converting Percent to Decimal
To convert a percentage to a decimal, divide the percentage value by 100. This shifts the decimal point two places to the left. For instance, 2.4% becomes 0.024 as a decimal.
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04:34Converting Standard Form to Vertex Form
Decimal Notation
Decimal notation expresses numbers using a decimal point to separate the whole number from the fractional part. It is a standard way to represent non-integer values in mathematics.
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05:18Interval Notation
Related Practice
Textbook Question
Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. 5√x / (2√x + √y)
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Textbook Question
Write each percent as a decimal. 5 1/2%
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Textbook Question
Write each percent as a decimal. 6 1/4%
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Write each percent as a decimal. 117%
Textbook Question
Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0.