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Chapter 6: Problem 39

In the following exercises, convert each percent to a decima $$7.8 \%$$

Short Answer

Expert verified
7.8\rightarrow0.078

Step by step solution

01

- Understand the percent

Identify the given percent, which in this case is 7.8%.
02

- Convert percent to decimal

To convert a percentage to a decimal, divide the percentage by 100. In this case, divide 7.8 by 100.
03

- Perform the division

Perform the division: t 7.8 梅 100 = 0.078

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Key Concepts

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

percent to decimal conversion
Converting a percent to a decimal is a fundamental skill in mathematics. It allows us to work with percentages more easily in equations and calculations. To convert a percent to a decimal, follow these simple steps:
  • Identify the percentage given. For example, let's use 7.8%.
  • Divide the percentage by 100. This is because the word 'percent' literally means 'per hundred'.
  • The result is the decimal form of the percentage. So, 7.8% becomes 0.078 when divided by 100.
Now, you can use this decimal in further mathematical operations. It's a straightforward method, but you need to remember to divide by 100 to get the conversion right.
basic arithmetic
Basic arithmetic involves simple mathematical operations such as addition, subtraction, multiplication, and division. These operations are the building blocks for more complex math problems. In the context of converting a percentage to a decimal, the basic arithmetic operation we use is division.
Consider the example of converting 7.8% to a decimal. The operation here is division by 100. This step is crucial because it moves the decimal point two places to the left, effectively changing the percentage into a decimal form. Understanding and mastering these basic arithmetic operations can significantly simplify solving math problems.
division
Division is one of the four basic arithmetic operations. It involves splitting a number into equal parts. When converting a percent to a decimal, division plays a key role.
Here's how you can think of it:
  • You start with the percentage, like 7.8%. This means 7.8 per 100.
  • To convert this to a decimal, you need to divide by 100. So, you perform the operation 7.8 梅 100.
  • The outcome is a decimal, which in this case is 0.078.
Division by 100 specifically means moving the decimal point two places to the left. Practice this method with different percentages to become more comfortable with the process.

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Most popular questions from this chapter

Hernando's salary was \(\$ 49,500\) last year. This year his salary was cut to \(\$ 44,055\) . Find the percent decrease.

In the following exercises, solve the percent problem. Kiyoshi bought a television set on sale for \(\$ 899\) . The original price was \(\$ 1,200\) . Find: (a) the amount of discount (b) the discount rate (round to the nearest tenth of a percent)

In the following exercises, solve the percent problem. Oxana bought a dresser at a garage sale for \(\$ 20 .\) she refinished it, then added a 250\(\%\) markup before advertising it for sale. What price did she ask for the dresser?

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In the following exercises, translate and solve using proportions. \(\$ 3.51\) is 4.5\(\%\) of what number?
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