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Chapter 0: Problem 83

$$ \text { Find } 6 \% \text { of } 21 $$

Short Answer

Expert verified
1.26

Step by step solution

01

Understand the Problem

To find 6% of 21, interpret the problem as finding what is 6 per 100 of the number 21.
02

Convert the Percentage to a Decimal

Convert 6% to a decimal by dividing 6 by 100. This gives you: \[6 \div 100 = 0.06\]
03

Multiply the Decimal by the Number

Multiply the decimal from Step 2 by the number 21. This gives you: \[0.06 \times 21 = 1.26\]
04

Write the Final Answer

The value of 6% of 21 is 1.26.

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Key Concepts

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

percentage to decimal conversion
Understanding how to convert a percentage to a decimal is a fundamental skill in math. A percentage represents a 'part per hundred'. This means 6% is the same as 6 parts out of 100. To convert a percentage to a decimal, you need to divide the percentage by 100. For example, to convert 6% to a decimal, you perform the following division: \[ 6 \div 100 = 0.06 \]
Remember, dividing by 100 simply moves the decimal point two places to the left.
Practicing this with different percentages helps solidify the concept. For instance:
  • 50% becomes 0.50
  • 25% becomes 0.25
  • 1% becomes 0.01
multiplication of decimals
Once you have the percentage converted to a decimal, the next step is to multiply it by the number in question. Here, we multiply our decimal 0.06 by 21. This involves basic decimal multiplication: \[ 0.06 \times 21 = 1.26 \]
To multiply decimals, follow these steps:
  • Ignore the decimals initially and just multiply the numbers as whole numbers (6 and 21).
  • 6 times 21 is 126.
  • Then, count how many digits are after the decimal points in the original numbers. Here, we have two digits after the decimal in 0.06.
  • Place the decimal in the result accordingly: 1.26.

With consistent practice, multiplying decimals becomes easier and quicker.
understanding percentages
Grasping the concept of percentages is crucial as it applies to many real-life scenarios, such as discounts, interests, and statistics. A percentage is a way to express a number as a fraction of 100. For instance, 6% means 6 out of every 100.
This is useful when comparing proportions. In our problem, 6% of 21 means we are looking for a small portion of 21. By converting this percent to a decimal (0.06) and multiplying it by 21, we find the exact value of 6% of 21.
Some key points to remember about percentages:
  • Percentages can be greater than 100%, meaning more than the whole.
  • Percentages less than 1% represent very small fractions.
  • Comparative percentages can show growth or reduction, like how much something has increased compared to a previous amount.

Understanding these points can make dealing with percentages much easier and applicable in different scenarios.

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Most popular questions from this chapter

For exercises 39-46, rewrite the percent as a fraction. Simplify the fraction into lowest terms. $$ 12 \% $$

$$ -12-5 $$

For exercises 1-12, rewrite the decimal number as a fraction. Simplify the fraction to lowest terms. $$ 0.16 $$

For exercises \(13-24\), rewrite the fraction as a decimal number. $$ \frac{1}{3} $$

For exercises \(13-24\), rewrite the fraction as a decimal number. $$ \frac{3}{7} $$
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