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Chapter 7: Problem 50

Convert the decimal to a percent. $$0.277$$

Short Answer

Expert verified
27.7%

Step by step solution

01

Understand the Problem

To convert a decimal to a percent, we need to find the equivalent percentage of the decimal number.
02

Multiply by 100

To convert the decimal to a percent, multiply the decimal number by 100. This step moves the decimal point two places to the right.
03

Perform the Calculation

Multiply 0.277 by 100: \[ 0.277 \times 100 = 27.7 \]
04

Add the Percent Symbol

Add the percent symbol (%) to your result: 27.7%.

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Key Concepts

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

Multiplying Decimals
Understanding how to multiply decimals is an essential math skill. It's not just about moving the decimal point; there's a specific technique to follow.

First, ignore the decimal points and multiply the numbers as if they were whole numbers. For example, to multiply 0.277 by 100:
  • Ignore the decimal and multiply 277 by 100.
  • The result is 27700.
Now, place the decimal point back in the product. The original decimal (0.277) has three digits after the point. Since 100 is a whole number, we only need to adjust for the three decimal places in 0.277:
  • Moving the decimal three places to the left in 27700 gives us 27.700, or simply 27.7.
This method ensures that the position of the decimal point in the product is correct.
Percentage Calculation
Percentage calculation is all about converting a number into a fraction of 100. When converting a decimal like 0.277 to a percent, you're essentially finding out how much of 100 that decimal represents.

Here's a simple process to follow:
  • Start with your decimal value (e.g., 0.277).
  • Multiply it by 100.
  • 0.277 times 100 is 27.7.
By multiplying by 100, you're determining how many parts out of 100 the decimal equals. Hence, 0.277 becomes 27.7%.

Don鈥檛 forget to add the percent symbol (%) to signify that your result is in percent.
Basic Arithmetic
Basic arithmetic is the foundation of all math skills. It includes operations like addition, subtraction, multiplication, and division.

Understanding these basic operations is necessary when performing more complex calculations like decimal to percent conversion. Here鈥檚 a quick recap:
  • Addition: Combining two or more numbers to get their total.
  • Subtraction: Finding the difference between two numbers.
  • Multiplication: Adding a number to itself a certain number of times.
  • Division: Splitting a number into equal parts.
When working with decimals and percentages, multiplication is used frequently, such as multiplying a decimal by 100 to convert it to a percentage. Each of these fundamental skills builds on each other and forms the groundwork for more advanced math topics.

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Most popular questions from this chapter

Change the percent to a simplified fraction or mixed number. $$110 \frac{1}{2} \%$$

A salesperson receives a weekly salary of \(\$ 100,\) plus a \(5.5 \%\) commission on sales. Her salary last week was \(\$ 1090 .\) What were her sales that week?

Which of the numbers represent \(30 \% ?\) a. \(\frac{3}{10}\) b. \(\frac{1}{3}\) c. 0.3 d. \(0.03 \%\)

Write the percent proportion. 21 dogs is \(20 \%\) of 105 dogs.

Gus, the cat, originally weighed 12 lb. He was diagnosed with a thyroid disorder, and Dr. Smith the veterinarian found that his weight had decreased to 10.2 Ib. What percent of his body weight did Gus lose?
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