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Chapter 7: Problem 41

Convert the given decimal to a percent. $$ 0.14 $$

Short Answer

Expert verified
0.14 is 14%.

Step by step solution

01

Understanding the Problem

We need to convert the decimal number 0.14 into a percentage. To do this, we will follow a simple mathematical process.
02

Convert the Decimal to a Percent

To convert a decimal to a percent, you multiply the decimal number by 100. This is because 'percent' means 'per hundred'. So, we calculate the following:\[ 0.14 \times 100 \]
03

Calculate the Result

Multiplying 0.14 by 100 gives us:\[ 0.14 \times 100 = 14 \]Therefore, 0.14 converted to a percent is 14%.

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Key Concepts

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

Decimal Conversion
When working with numbers, it's common to switch between different formats. One of these essential conversions is from decimals to percentages. To make this switch, we always start with a decimal number, like 0.14, and use a simple rule: multiply by 100. This reflects how percentages are 'parts per hundred'.
For instance, in our example of 0.14, when we multiply by 100, it directly turns into 14%. The conversion process helps in understanding data in a format that is often more relatable, as percentages are easy to compare and understand in many situations, like grades or statistics.
Here鈥檚 the quick recap:
  • Start with a decimal number.
  • Multiply it by 100 to convert it into a percentage.
  • Understand that the process is multiplying because 'percent' means out of 100.
Multiplication
Multiplication is a fundamental arithmetic operation often likened to repeated addition. In the case of converting decimals to percentages, multiplication is your primary tool. This is because you multiply the decimal number by 100 to get its percentage form.
For example, when you have a decimal like 0.14, you perform the operation:
  • Multiply the decimal (0.14) by 100.
  • This operation shifts the decimal point two places to the right, transforming it into 14.
Understanding this multiplication process is crucial. It allows students to move fluidly between numeric formats. Being comfortable with multiplying decimals can make more complex math problems easier to tackle.
Understanding Percentages
Percentages describe a number as a fraction of 100. Everywhere in day-to-day life, you'll encounter percentages: discounts, interest rates, statistics, and much more. Grasping this concept makes understanding and solving real-world problems straightforward.
A percentage is simply a way of expressing a number between 0 and 1 in a more relatable form. For example, knowing that 0.14 is 14% gives you a clearer picture of how large or small a number is compared to a whole (100%).
This understanding helps in:
  • Interpreting data in various formats easier.
  • Comparing different values quickly.
  • Making sense of narratives that use percentages to demonstrate information succinctly.
The key takeaway is that percentages can make numerical data more intuitive and communicable.

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Most popular questions from this chapter

How much simple interest is earned if $2,500 is invested at 5% per year for 6 years?

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A business owner borrows $$\$ 5,700$$ for 4 months. At the end of the 4 -month loan period, the interest owed is $$\$ 133$$. What was the simple yearly interest rate (as a percent)?

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A business owner borrows $3,600 for 3 months at a 8% per year simple interest rate. At the end of the 3-month loan period, how much interest is owed?
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