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Chapter 7: Problem 45

Convert the decimal to a percent. $$0.19$$

Short Answer

Expert verified
0.19 as a percent is 19%.

Step by step solution

01

Understand the Problem

To convert a decimal to a percent, multiply the decimal by 100.
02

Multiply by 100

Multiply the decimal 0.19 by 100: \(0.19 \times 100 = 19\).
03

Append the Percent Symbol

After multiplying, append the percent symbol (%) to the result. Therefore, 0.19 as a percent is 19%.

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Key Concepts

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

percent conversion
Let's dive into how to convert a decimal into a percent. First, it's important to understand the relationship between decimals and percents. A percent represents a fraction out of 100. So, when converting from a decimal to a percent, you're essentially expressing the number as parts per hundred.

Here鈥檚 a simple way to remember how to do this:
  • Multiply the decimal by 100.
  • Append the percent symbol (%) to the result.

For instance, take the decimal 0.19. If we multiply it by 100, we get:
\(0.19 \times 100 = 19\)
Then, we append the '%' symbol to get 19%.
So, 0.19 in decimal form is the same as 19% in percent form.
multiplying decimals
Understanding how to multiply decimals is an essential math skill. It's easier than you might think! When you multiply decimals, you're still following simple multiplication rules. However, you must pay extra attention to the placement of the decimal point in the result.

Here's a quick guide:
  • Ignore the decimals and multiply the numbers as if they were whole numbers.
  • Count the total number of decimal places in the numbers you're multiplying.
  • Place the decimal point in the product, so it has the same number of decimal places.

As an example, let's multiply 0.19 by 100:
\(0.19 \times 100\)
Since 19 is 19.00 (which has two decimal places), and 100 has no decimal places, our result 19.00 has two decimal places. When you multiply, you get:
\(0.19 \times 100 = 19\). So, it's just like multiplying 19 by 100 without worrying about the decimal because 100 doesn't affect decimal placement in simpler terms.
basic arithmetic
In this context, basic arithmetic involves simple multiplication. Multiplying a number by 100 can be simplified as moving the decimal point two places to the right. This is because 100 in base-10 has two zeros.

Let鈥檚 break it down using our example with the decimal 0.19:
  • Start with 0.19.
  • Move the decimal point two places to the right.

After moving the decimal point, 0.19 becomes 19.
This is a straightforward application of basic arithmetic rules.
Remembering these simple steps will help you quickly and accurately convert decimals to percents, and reinforce your arithmetic skills. Basic arithmetic operations like addition, subtraction, multiplication, and division form the foundation for more complex math concepts.

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Most popular questions from this chapter

Convert the percent to a decimal. $$100 \%$$

Gloria borrowed 400 dollar for 18 months at \(8 \%\) simple interest. a. How much interest will Gloria have to pay? b. What will be the total amount that she has to pay back?

Hospital employees get a \(15 \%\) discount at the hospital cafeteria. If the lunch bill originally comes to \(\$ 5.60\), what is the price after the discount?

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?

Define the key term percent equation.
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