Problem 39 Write each decimal as a percent.... [FREE SOLUTION]

Chapter 7: Problem 39

Write each decimal as a percent. $$ 0.006 $$

Short Answer

Expert verified

0.006 is 0.6% as a percent.

Step by step solution

Understanding the Relationship Between Decimals and Percents

To convert a decimal to a percent, you need to understand that a percent is essentially a part of 100. This means you need to change the decimal to an equivalent fraction or number out of 100.

Converting the Decimal to a Percent

To convert a decimal to a percent, multiply the decimal by 100. This is equivalent to shifting the decimal point two places to the right. For the decimal 0.006, multiplying by 100 gives:\[ 0.006 \times 100 = 0.6 \% \]

Finalizing the Percent

Now that you have performed the multiplication, write down the result as a percentage. Therefore, 0.006 as a percent is 0.6%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Point

Decimals are a way of representing fractions in a base ten system. The decimal point is crucial as it separates the whole number part from the fractional part. For example, in the number 0.006, everything to the right of the decimal point represents tenths, hundredths, thousandths, etc., depending on the digit's position.
Understanding the role of the decimal point is fundamental when converting decimals to other forms such as fractions or percents. When you shift the decimal point, you essentially multiply or divide the number by factors of 10. This shifting is key when changing decimals to percents.

Multiply by 100

Converting a decimal to a percent involves multiplying the decimal by 100. This is because 'percent' means "per hundred," so we need to find how many parts per one hundred the decimal represents.
The mathematical operation of multiplying by 100 effectively shifts the decimal point two places to the right. For example, with the decimal 0.006, multiplying by 100 results in 0.6. By shifting the decimal point two places to the right, you transform 0.006 into the equivalent of 60 out of 10,000, or more simply 0.6%, which gives a clearer picture of its size relative to 100.

Percent Calculation

The final step in decimal to percent conversion is to write the result with a percent sign (%). This makes it clear that the number is being expressed as a portion per one hundred. In our exercise, 0.006 becomes 0.6% after conversion.
Understanding that a percent is a ratio expressed as a fraction of 100 is important. This concept allows you to interpret percentages in various contexts, whether in statistics, finance, or everyday situations. For instance, 0.6% means that out of 100 units, only 0.6 are present or represented. Remembering to append the percent sign is essential to indicate this specific representation.

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91影视

Write each decimal as a percent. $$ 0.006 $$

Short Answer

Step by step solution

Understanding the Relationship Between Decimals and Percents

Converting the Decimal to a Percent

Finalizing the Percent

Key Concepts

Decimal Point

Multiply by 100

Percent Calculation

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