Write each decimal as a percent. 0.0050.005

Ch. R - Review of Basic Concepts

Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook

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Lial 13th Edition

Ch. R - Review of Basic Concepts

Problem 166

Chapter 1, Problem 166

Write each decimal as a percent.
$0.005$

Verified step by step guidance

Understand that to convert a decimal to a percent, you multiply the decimal by 100%.

Write the decimal 0.005 as a multiplication:

0.005 \times 100 %

Multiply 0.005 by 100 to shift the decimal point two places to the right:

0.005 × 100 = 0.5

Attach the percent symbol (%) to the result to express it as a percent:

0.5%

Therefore, the decimal 0.005 is equivalent to 0.5% when written as a percent.

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Key Concepts

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

Decimal to Percent Conversion

Converting a decimal to a percent involves multiplying the decimal number by 100 and adding the percent symbol (%). This shifts the decimal point two places to the right, changing the value into a percentage form.

Understanding Place Value

Place value helps determine the value of each digit in a decimal number. Recognizing the position of digits after the decimal point is essential for accurate conversion to percent, as it affects how the number scales when multiplied by 100.

Percent Notation

Percent notation expresses a number as parts per hundred. It is a way to represent ratios or fractions with a denominator of 100, making it easier to compare and interpret proportions in everyday contexts.