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Chapter 6: Problem 61

In the following exercises, convert each decimal to a percent. $$1.5$$

Short Answer

Expert verified
1.5 as a percent is 150%.

Step by step solution

01

Understand the Conversion

To convert a decimal to a percent, multiply the decimal number by 100. This is because 'percent' means 'per hundred.'
02

Multiply the Decimal by 100

Multiply the given decimal, 1.5, by 100 to convert it to a percentage. \(1.5 \times 100 = 150\)
03

Add the Percent Symbol

After calculating the product, add the percent symbol (%) to the result to express it as a percentage. Thus, \(1.5\) as a percent is \(150\%\).

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Key Concepts

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

Decimal Conversion
To start, let's talk about decimals. Decimals are a way to represent fractions and numbers that are not whole. Understanding decimals is important because it helps in various calculations. Decimals use a base of 10, and each place value represents a power of 10. For example, in the number 1.5:

- The '1' is in the ones place.
- The '5' is in the tenths place.

Knowing this makes it easier to convert between decimals and other forms, such as fractions and percentages.
Percentage Calculation
Now, let's dive into percentage calculation. Percentages are a way to express numbers as parts of 100. This means that if we have something at 50%, it is 50 out of 100. Converting a decimal to a percentage makes it easier to understand proportions and compare different numbers.

To convert a decimal to a percentage, you need to multiply the decimal by 100. This process is simple because multiplying by 100 shifts the decimal point two places to the right. For instance, to convert the decimal 1.5 to a percentage, you do the following calculation:

\(1.5 \times 100 = 150\)

This means that 1.5 as a percentage is 150%.
Math Steps
Let's summarize the steps you need to follow for converting decimals to percentages. Breaking it down into clear, simple steps helps ensure that you can do this conversion easily every time.

1. Take the decimal number you want to convert. In this exercise, it is 1.5.
2. Multiply the decimal number by 100. This will shift the decimal point two places to the right. For example: \(1.5 \times 100 = 150\)
3. Add the percent symbol (%) to the result to express it as a percentage. So, 1.5 becomes 150%.

By following these steps, you can quickly and accurately convert any decimal to a percent. Practice with different numbers to become more comfortable with the process.

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Most popular questions from this chapter

In the following exercises, find (a) the sales tax (b) the total cost. The cost of a water heater is \(\$ 577 .\) The sales tax rate is 8.75\(\%\) of the purchase price.

In the following exercises, solve. Last year Bernard bought a new car for \(\$ 30,000\) . This year the car is worth \(\$ 24,000\) . Find the percent decrease.

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In the following exercises, convert each percent to (a) a decimal (b) a simplified fraction. $$ 24 \% $$

Tamanika got a raise in her hourly pay, from \(\$ 15.50\) to \(\$ 17.55 .\) Find the percent increase.
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