Textbook Question
Identify the property illustrated in each statement. Assume all variables represent real numbers. 5𝜋 is a real number.
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0. Review of Algebra
Exponents
1:34 minutesProblem 130
Textbook Question
Complete the table of fraction, decimal and percent equivalents.
Verified step by step guidance1
Identify the given values: the fraction is \(\frac{1}{50}\) and the percent is 2%. We need to find the decimal equivalent of \(\frac{1}{50}\) and check the consistency with the percent given.
Convert the fraction \(\frac{1}{50}\) to a decimal by dividing the numerator by the denominator: calculate \(1 \div 50\).
Express the decimal obtained from the division as a percent by multiplying it by 100: \(\text{Decimal} \times 100 = \text{Percent}\).
Compare the percent you calculated from the fraction with the given percent (2%) to verify if they match or if there is a discrepancy.
If the percent values differ, consider which value is correct or if the fraction needs to be adjusted; otherwise, use the decimal you found as the decimal equivalent of \(\frac{1}{50}\).
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Converting Fractions to Decimals
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/50 means dividing 1 by 50, which results in 0.02. This decimal form represents the fraction in base-10 notation.
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Understanding Percentages
A percentage represents a number out of 100. To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol. For instance, 0.02 multiplied by 100 equals 2%, showing the equivalence between decimal and percent.
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Simplifying Fractions
Simplifying a fraction means reducing it to its lowest terms by dividing numerator and denominator by their greatest common divisor. In this question, 1/50 is already in lowest terms, ensuring accurate conversion to decimal and percent forms.
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